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Reports From: 2024-2003
2024
Multi-material topology optimization of an electric machine considering demagnetization
Adaptive optimization of isogeometric multi-patch discretizations using artificial neural networks
Determinant evaluations inspired by Di Francesco’s determinant for twenty-vertex configurations
2023
A Unified Treatment of Tractability for Approximation Problems Defined on Hilbert Spaces
Computable error bounds for quasi-Monte Carlo using points with non-negative local discrepancy
Collisionless shock region of the KdV equation and an entry in Gradshteyn and Ryzhik
Approximation properties over self-similar meshes of curved finite elements and applications to subdivision based isogeometric analysis
An inverse source problem for linearly anisotropic radiative sources in absorbing and scattering medium
A space-time finite element method for the eddy current approximation of rotating electric machines
Regularization and finite element error estimates for elliptic distributed optimal control problems with energy regularization and state or control constraints
The algebraic range of the planar X-ray transform of symmetric tensors and applications to noise reduction
On the range of the X-ray transform of symmetric tensors compactly supported in the plane
$C^1$-smooth isogeometric spline functions of general degree over planar mixed meshes: The case of two quadratic mesh elements
Efficient and accurate separable models for discrete material optimization: A continuous perspective
2022
On the computation of analytic sensitivities of eigenpairs in isogeometric analysis
Tractability of $L_2$-approximation and integration in weighted Hermite spaces of finite smoothness
A parallel space-time finite element method for the simulation of an electric motor
On a reduced digit-by-digit component-by-component construction of lattice point sets
A unified approach to shape and topological sensitivity analysis of discretized optimal design problems
Topology optimization of a rotating electric machine by the topological derivative
A linear frequency domain solver workflow for fast simulation of transmission systems
FEEDBACK SEMIGLOBAL STABILIZATION TO TRAJECTORIES FOR THE KURAMOTO–SIVASHINSKY EQUATION
Wave Propagation in Pure-Time Modulated Step Media With Applications to Temporal-Aiming
A note on the CBC-DBD construction of lattice rules with general positive weights
Matrix-free Monolithic Multigrid Methods for Stokes and Generalized Stokes Problems
Mathematical Analysis of the Photo-acoustic Imaging Modality Using Resonating Dielectric Nano-particles: The 2D TM-Model
Heat Generation using Lorentzian Nanoparticles: Estimation via Time-Domain Techniques
Legendre pairs of lengths $\ell\equiv0\,\,(\bmod\,5)$ and $\ell=85$, $\ell=87$ cases
Tractability of approximation in the weighted Korobov space in the worst-case setting
2021
Multigrid solvers for isogeometric discretizations of the second biharmonic problem
Dual-Primal Isogeometric Tearing and Interconnecting methods for the Stokes problem
Extremal points of total generalized variation balls in 1D: characterization and applications
The effective permittivity and permeability generated by a cluster of moderately contrasting nanoparticles
An introduction to the mathematics of the imaging modalities using small scaled contrast agents
Mathematical analysis of the acoustic imaging modality using bubbles as contrast agents at nearly resonating frequencies
IETI-DP methods for discontinuous Galerkin multi-patch Isogeometric Analysis with T-junctions
A source reconstruction method in two dimensional radiative transport using boundary data measured on an arc
Deep neural network approximation for high-dimensional parabolic Hamilton-Jacobi-Bellman equations
Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction
Analysis of the acoustic waves reflected by a cluster of small holes in the time-domain and the equivalent mass density
Parameterization for Polynomial Curve Approximation via Residual Deep Neural Networks
Robust discretization and solvers for elliptic optimal control problems with energy regularization
Tractability of approximation in the weighted Korobov space in the worst-case setting – a complete picture
Construction of good polynomial lattice rules in weighted Walsh spaces by an alternative component-by-component construction
Tweaking the Beukers Integrals In Search of More Miraculous Irrationality Proofs À La Apéry
2020
Robust preconditioning and error estimates for optimal control of the convection-diffusion-reaction equation with limited observation in Isogeometric Analysis
Weak formulations of the nonlinear Poisson-Boltzmann equation in biomolecular electrostatics
Symmetry and scaling limits for matching of implicit surfaces based on thin shell energies
An algorithm for best rational approximation based on barycentric rational interpolation
Component-by-component digit-by-digit construction of good polynomial lattice rules in weighted Walsh spaces
Deep neural network approximation for high-dimensional elliptic PDEs with boundary conditions
Efficient Direct Space-Time Finite Element Solvers for Parabolic Initial-Boundary Value Problems in Anisotropic Sobolev Spaces
Oblique projection output-based feedback exponential stabilization of nonautonomous parabolic equations
Convergence of level sets in TV denoising through variational curvatures in unbounded domains
On the numerical range of second order elliptic operators with mixed boundary conditions in $L^p$
High-order quadrature on planar domains based on transport theorems for implicitly defined moving curves
Convergence theory for IETI-DP solvers for discontinuous Galerkin Isogeometric Analysis that is explicit in $h$ and $p$
Parallel matrix-free higher-order finite element solvers for phase-field fracture problems
Space-time finite element discretization of parabolic optimal control problems with energy regularization
Unstructured space-time finite element methods for optimal control of parabolic equations
Walsh functions, scrambled $(0, m, s)$-nets, and negative covariance: applying symbolic computation to quasi-Monte Carlo integration
Multirate DAE-Simulation and its Application in System Simulation Software for the Development of Electric Vehicles
Topological index analysis and its application to multi-physical systems in system simulation software
Unstructured Space-Time Finite Element Methods for Optimal Sparse Control of Parabolic Equations
Extrapolated elliptic regularity and application to the van Roosbroeck system of semiconductor equations
Reliability and efficiency of DWR-type a posteriori error estimates with smart sensitivity weight recovering
Log-concavity results for a biparametric and an elliptic extension of the $q$-binomial coefficients
Where do the maximum absolute $q$-series coefficients of $(1-q)(1-q^2)(1-q^3)...(1-q^{n-1})(1-q^n)$ occur?
qFunctions - A Mathematica package for $q$-series and partition theory applications
Diagonals of rational functions: from differential algebra to effective algebraic geometry
Oblique projection exponential dynamical observer for nonautonomous linear parabolic-like equations
Oblique projection local feedback stabilization of nonautonomous semilinear damped wave-like equations
Computing the Yield Limit in Three-dimensional Flows of a Yield Stress Fluid About a Settling Particle
Numerical reconstruction of radiative sources in an absorbing and non-diffusing scattering medium in two dimensions
Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals
Uniform approximations by Fourier sums on classes of convolutions of periodic functions
Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness
Robust preconditioners for multiple saddle point problems and applications to optimal control problems
2019
Local multigrid solvers for adaptive Isogeometric Analysis in hierarchical spline spaces
Hierarchical DWR Error Estimates for the Navier Stokes Equation: $h$ and $p$ Enrichment
Optimal Control of an Abstract Evolution Variational Inequality with Application to Homogenized Plasticity
Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals
A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium
On alternative quantization for doubly weighted approximation and integration over unbounded domains
Four-term progression free sets with three-term progressions in all large subsets
Regularized Collocation in Distribution of Diffusion Times applied to Electrochemical Impedance Spectroscopy
Reconstruction of the high resolution phase in a closed loop adaptive optics system
Fast multigrid solvers for conforming and non-conforming multi-patch Isogeometric Analysis
Iterative Low-rank Approximation Solvers for the Extension Method for Fractional Diffusion
Adaptive approximation for multivariate linear problems with inputs lying in a cone
On the Non-Linear Integral Equation Approach for an Inverse Boundary Value Problem for the Heat Equation
Optimal control of an energy-critical semilinear wave equation in 3D with spatially integrated control constraints
Regularization for optimal control problems associated to nonlinear evolution equations
Order estimates of best orthogonal trigonometric approximations of classes of infinitely differentiable functions
A quasi-robust discretization error estimate for discontinuous Galerkin Isogeometric Analysis
Constructing QMC finite element methods for elliptic PDEs with random coefficients by a reduced CBC construction
2018
Oblique Projection Based Stabilizing Feedback for Nonautonomous Coupled Parabolic-ODE Systems
Topological solvability and DAE-index conditions for types of black-box models coupled to liquid flow networks via boundary conditions
Influence of dimension on the convergence of level-sets in total variation regularization
BDDC preconditioners for a space-time finite element discretization of parabolic problems
Guaranteed and computable bounds of errors for semi-discrete approximations of the Biot problem
On a boundary integral solution of a lateral planar Cauchy problem in elastodynamics
Optimizing noisy CNLS problems by using the adaptive Nelder-Mead algorithm: A new approach to escape from local minima
Adaptive multi-parameter regularization in electrochemical impedance spectroscopy
Error Estimates for Arnoldi–Tikhonov Regularization for Ill-Posed Operator Equations
Diagonals of rational functions, pullbacked 2F1 hypergeometric functions and modular forms
Echelons of power series and Gabrielov’s counterexample to nested linear Artin Approximation
Constructing lattice points for numerical integration by a reduced fast successive coordinate search algorithm
Critical yield numbers and limiting yield surfaces of particle arrays settling in a Bingham fluid
Higher regularity for solutions to elliptic systems in divergence form subject to mixed boundary conditions
Parallel Block-Preconditioned Monolithic Solvers for Fluid-Structure-Interaction Problems
2017
Approximation methods for piecewise deterministic Markov processes and their costs
Exponential Stabilization of Nonautonomous Linear Parabolic-Like Systems by a Finite Number of Locally Supported Actuators
Guaranteed error control bounds for the stabilised space-time IgA approximations to parabolic problems
A note on convergence of solutions of total variation regularized linear inverse problems
Lower error bounds for strong approximation of scalar SDEs with non-Lipschitzian coefficients
Robust approximation error estimates and multigrid solvers for isogeometric multi-patch discretizations
Truncation in average and worst case settings for special classes of $\infty$-variate functions
A Curious Family of Binomial Determinants That Count Rhombus Tilings of a Holey Hexagon
Analytical approximation and numerical simulations for periodic travelling water waves
Time-Multipatch Discontinuous Galerkin Space-Time Isogeometric Analysis of Parabolic Evolution Problems
Functional approach to the error control in adaptive IgA schemes for elliptic boundary value problems
Lattice rules with random $n$ achieve nearly the optimal $\mathcal{O}(n^{-\alpha-1/2})$ error independently of the dimension
Bubble stabilized space-time finite element methods of parabolic evolution problems
Weakly-normal basis vector fields in RKHS with an application to shape Newton methods
Robust multigrid methods for isogeometric discretizations of the Stokes equations
Functional type error control for stabilised space-time IgA approximations to parabolic problems
Junction conditions for finite horizon optimal control problems on multi-domains with continuous and discontinuous solutions
Discontinuous Galerkin Isogeometric Analysis for parametrizations with overlapping regions
Polynomial approximation of high-dimensional Hamilton-Jacobi-Bellman equations and applications to feedback control of semilinear parabolic PDEs
A reduced fast construction of polynomial lattice point sets with low weighted star discrepancy
2016
Coupling Adaptively Refined Multi-patch Spline Discretizations via Boundary Compatibility
Topological solvability and DAE-index conditions for mass flow controlled pumps in liquid flow networks
Robust multigrid for isogeometric analysis based on stable splittings of spline spaces
Cross-diffusion systems with excluded-volume effects and asymptotic gradient flow structures
Critical yield numbers of rigid particles settling in Bingham fluids and Cheeger sets
Discontinuous Galerkin Isogeometric Analysis on Non-matching Segmentation: Error Estimates and Efficient Solvers
Numerical simulation of nonlinear continuity equations by evolving diffeomorphisms
Efficient Computation of Dual Space and Directional Multiplicity of an Isolated Point
An error-oriented Newton/inexact augmented Lagrangian approach for fully monolithic phase-field fracture propagation
Variational-monolithic ALE fluid-structure interaction: Comparison of computational cost and mesh regularity using different mesh motion techniques
Preconditioners for linear systems arising from the finite volume discretization of the incompressible Navier-Stokes equations
Prediction of Nocturnal Hypoglycemia by an aggregation of previously known prediction approaches: Proof of concept for clinical application
Exact ZF Analysis and Computer-Algebra-Aided Evaluation in Rank-1 LoS Rician Fading
Lattice Green Functions: the d-dimensional face-centred cubic lattice, d=8,9,10,11,12
A Semi-Lagrangian scheme for a modified version of the Hughes model for pedestrian flow
2015
Dual-Primal Isogeometric Tearing and Interconnecting solvers for multipatch dG-IgA equations
Goal functional evaluations for phase-field fracture using PUM-based DWR mesh adaptivity
Discontinuous Galerkin Isogeometric Analysis of Elliptic Problems on Segmentations with Non-Matching Interfaces
Dual-Primal Isogeometric Tearing and Interconnecting Solvers for large-scale systems of multipatch continuous Galerkin IgA equations
Feedback Stabilization to Non-Stationary Solutions of a Class of Reaction Diffusion Equations of Fitzhugh-Nagumo Type
Discontinuous Galerkin Isogeometric Analysis of Elliptic Problems on Non-matching Interfaces
Existence and uniqueness of solutions for a model of non-sarcomeric actomyosin bundles
Decay to equilibrium of the filament end density along the leading edge of the lamellipodium
Variational regularization of complex deautoconvolution and phase retrieval in ultrashort laser pulse characterization
Extraction of the index of refraction by embedding multiple and close small inclusions
A cluster of many small holes with negative imaginary surface impedances may generate a negative refraction index
Multiscale analysis of the acoustic scattering by many scatterers of impedance type
Stable recovery of the time-dependent source term from one measurement for the wave equation
Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces
The equivalent mass density for the elastic scattering by many small rigid bodies and applications
Coupling fluid-structure interaction with phase-field fracture: modeling and a numerical example
Solvability and topological index criteria for thermal management in liquid flow networks
An efficient Reconstruction Method for Ground Layer Adaptive Optics with mixed Natural and Laser Guide Stars
Early Afterdepolarizations with Growing Amplitudes do not Require Stable Limit Cycles in the Fast Subsystem of Cardiac Action Potential Models
Numerical simulation of parabolic moving and growing interface problems using small mesh deformation
An algebraic multigrid method for quadratic finite element equations of elliptic and saddle point systems in 3D
Smoothened Quasi-Time-Optimal Control for the Torsional Torque in a Two-Mass-System
2014
A penalization method for calculating the flow beneath travelling water waves of large amplitude
Internal exponential stabilization to a nonstationary solution for 1D Burgers equations with piecewise constant controls
Approximate controllability for equations of fluid mechanics with a few body controls
Reduced-order minimum time control of advection-reaction-diffusion systems via dynamic programming
A high-order semi-Lagrangian/finite volume scheme for Hamilton-Jacobi-Isaacs equations
An accelerated value/policy iteration scheme for optimal control problems and games
A note on functional a posteriori estimates for elliptic optimal control problems
Functional a posteriori error estimates for time-periodic parabolic optimal control problems
A note on robust preconditioners for monolithic fluid-structure interaction systems of finite element equations
Uniformly stable discontinuous Galerkin discretization and robust iterative solution methods for the Brinkman problem
Reconstruction of interfaces from the elastic far-field measurements using CGO solutions
Regularized recursive Newton-type methods for inverse scattering problems using multifrequency measurements
Stable determination of a scattered wave from its far-field pattern: the high frequency asymptotics
Direct and Inverse Acoustic Scattering by a Collection of Extended and Point-Like Scatterers
The equivalent refraction index for the acoustic scattering by many small obstacles: with error estimates
Wavelet-in-time multigrid-in-space preconditioning of parabolic evolution equations
Simultaneous optical flow and source estimation: space-time discretization and preconditioning
Normal feedback boundary stabilization to trajectories for 3D Navier–Stokes equations
Functional a posteriori error estimates for parabolic time-periodic boundary value problems
Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions
On the differentiability of fluid-structure interaction problems with respect to the problem data
(Un)conditional consensus emergence under perturbed and decentralized feedback controls
Value iteration convergence of ε-monotone schemes for stationary Hamilton-Jacobi equations
Simultaneous Estimation of Mass and Aerodynamic Rotor Imbalances for Wind Turbines
Characterization of bivariate hierarchical quartic box splines on a three-directional grid
Numerical Simulation of Fluid-Structure Interaction Problems with Hyperelastic Models: A Monolithic Approach
Analysis of Discontinuous Galerkin IGA Approximations to Elliptic Boundary Value Problems
Approximation of the solution of an ill-posed spherical pseudo-differential equation at a given point
Parameter choice strategies for least-squares approximation of noisy smooth functions on the sphere
Remarks on the internal exponential stabilization to a nonstationary solution for 1D Burgers equations
2013
On the inverse elastic scattering by interfaces using one type of scattered waves
Numerical Simulation of Fluid-Structure Interaction Problems with Hyperelastic Models I: A Partitioned Approach
Auxiliary space multigrid method based on additive Schur complement approximation
A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations
Boundary observability inequalities for the 3D Oseen-Stokes system and applications
A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem
Conditional space-time stability of collocation Runge--Kutta for parabolic evolution equations
Filtered Legendre Expansion Method for Numerical Differentiation at the Boundary Point with Application to Blood Glucose Predictions
Algebraic Multilevel Preconditioning in Isogeometric Analysis: Construction and Numerical Studies
2012
Reconstructing obstacles by the enclosure method using in one step the farfield measurements
On the robust solution of Convection-Diffusion Equation coupled with Stokes equation
Robust multilevel methods for quadratic finite element anisotropic elliptic problems
Algebraic multilevel preconditioners for the graph Laplacian based on matching in graphs
Condition number estimates for matrices arising in the isogeometric discretizations
Generalized mass action systems: Complex balancing equilibria and sign vectors of the stoichiometric and kinetic-order subspaces
Improved Robustness of the Fluid-Structure Interaction Simulation with a Nearly Incompressible Elasticity Model
On computation of the shape Hessian of the cost functional without shape sensitivity of the state variable
On the linearization up to multi-output injection for a class of nonlinear systems with implicitly defined outputs
Numerical differentiation by means of Legendre polynomials in the presence of square summable noise
Condition number study of graph theory based preconditioners for isogeometric discretization of Poisson equation
Semi-smooth Newton methods for optimal control of the dynamical Lamé system with control constraints
Domain Decomposition Solvers for the Fluid-Structure Interaction Problems with Anisotropic Elasticity Models
Moment fitting for parameter inference in repeatedly and partially observed stochastic biological models
Vortex control of instationary channel flows using translation invariant cost functionals
On Time Optimal Control of the Wave Equation, its Regularization and Optimality System
Necessary conditions for convergence rates of regularizations of optimal control problems
A Class of Fluid-Structure Interaction Solvers with a Nearly Incompressible Elasticity Model
2011
A Meta-Learning Approach to the Regularized Learning -- Case Study: Blood Glucose Prediction
Multilevel Preconditioning of Graph-Laplacians: Polynomial Approximation of the Pivot Blocks Inverses
A Subspace Correction Method for Discontinuous Galerkin Discretizations of Linear Elasticity Equations
Thermal infrared technique for landmine detection: Mathematical formulation and methods
Two finite element methods on hybrid meshes and their applications to the fluid-structure interaction problems
A-posteriori verification of optimality conditions for control problems with finite-dimensional control space
Additive Schur complement approximation and application to multilevel preconditioning
An Adapted Version of the Bentley-Ottmann Algorithm for Invariants of Plane Curve Singularities
A Regularization Method for Computing Approximate Invariants of Plane Curves Singularities
Adaptive parameter choice for one-sided finite difference schemes and its application in diabetes technology
On BPS type domain decomposition preconditioner for finite element discretizations of 3-d elliptic equations
Time optimal control of the wave equation, its regularization and numerical realization
A Numerical Study on a Preconditioned GMRES Solver with Algebraic Multigrid Accelerations for the Fluid-Structure Interaction Problems on Hybrid Meshes
Robust Solvers for Symmetric Positive Definite Operators and Weighted Poincaré Inequalities
Convergence analysis of smoothing methods for optimal control of stationary variational inequalities
On shape sensitivity analysis of the cost functional without shape sensitivity of the state variable
Convergence rates for Morozov's Discrepancy Principle using Variational Inequalities
Robust Domain Decomposition Preconditioners for Abstract Symmetric Positive Definite Bilinear Forms
Numerical Simulation of Fluid-Structure Interaction Problems on Hybrid Meshes with Algebraic Multigrid Methods
2010
A Posteriori Error Estimates for Nonconforming Approximations of Evolutionary Convection-Diffusion Problems
A-posteriori error estimates for optimal control problems with state and control constraints
Convergence analysis of a Galerkin boundary element method for the Dirichlet Laplacian eigenvalue problem
Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Gröbner Bases
Boundary concentrated finite elements for optimal boundary control problems of elliptic PDEs
Optimal Control for an Elliptic System with Pointwise Nonlinear Control Constraints
2009
The balancing principle in solving semi-discrete inverse problems in Sobolev scales by Tikhonov method
Domain Decomposition Solvers for Nonlinear Multiharmonic Finite Element Equations
On the generalized discrepancy principle for Tikhonov regularization in Hilbert scales
Optimal Dirichlet boundary control of Navier-Stokes equations with state constraint
Algebraic multilevel iteration methods and the best approximation to 1/x in the uniform norm
A Subspace Correction Method for Discontinuous Galerkin discretizations of linear elasticity equations
Multiple level sets for piecewise constant surface reconstruction in highly ill-posed problems
Enhanced convergence rates for Tikhonov regularization revisited: improved results
Morozov's discrepancy principle for Tikhonov-type functionals with non-linear operators
Model function approach in the modified L-curve method for the choice of regularization parameter
Convergence and regularization results for optimal control problems with sparsity functional
A Mumford-Shah level-set approach for the inversion and segmentation of SPECT/CT data
On the minimization of a Tikhonov functional with a non-convex sparsity constraint
Sufficient Optimality Conditions and Semi-Smooth Newton Methods for Optimal Control of Stationary Variational Inequalities
A (rough) pathwise approach to fully non-linear stochastic partial differential equations
Algebraic multigrid for finite element elasticity equations: Determination of nodal dependence via edge matrices and two-level convergence
2008
Generalized hierarchical bases for discontinuous Galerkin discretizations of elliptic problems with highly varying coefficients
Multilevel preconditioning in H(DIV) and applications to a posteriori error estimates for discontinuous Galerkin approximations
Non-parametric regression for patch-based fluorescence microscopy image sequence denoising
On the Adaptive Coupling of Finite Elements and Boundary Elements for Elasto-Plastic Analysis
Parameter Identification in Systems Biology: Solving Ill-posed Inverse Problems using Regularization
How to check numerically the sufficient optimality conditions for infinite-dimensional optimization problems
Local Quadratic Convergence of SQP for Elliptic Optimal Control Problems with Mixed Control-State Constraints
On detection and visibility of a complex obstacle using multipoles sources from far field data
A matching of singularities in domain decomposition methods for reaction-diffusion problems
On the interactions of critical curves, catastrophe points, scale space saddles, and iso-intensity manifolds in Gaussian scale space images under a one-parameter driven deformation
Boundary-element-based finite element methods for Helmholtz and Maxwell equations on general polyhedral meshes
From the Boundary Element DDM to local Trefftz Finite Element Methods on Polyhedral Meshes
On the robustness of hierarchical multilevel splittings for discontinuous Galerkin rotated bilinear FE problems
Analytic extention and reconstruction of obstacles from few measurements for elliptic second order operators
How to make the reconstruction of obstacles more (or less) accurate from exterior measurements
On Steepest-Descent-Kaczmarz Methods for Regularizing Systems of Nonlinear Ill-posed
2007
A posteriori error estimates for nonconforming approximation of elliptic problems based on Helmholtz type decomposition of the error
Functional a posteriori error estimates for incremental models in elasto-plasticity
Efficient computable error bounds for discontinuous Galerkin approximations of elliptic problems
Sensitivity Analysis and the Adjoint Update Strategy for Optimal Control Problems with Mixed Control-State Constraints
A Semi-Smooth Newton Method for Solving Elliptic Equations with Gradient Constraints
Stable solutions of nonlinear elliptic Cauchy problems in three dimensional domains
The Finite Line Integration Method (FLIM) - A Fast Variant of Finite Element Modelling
Efficient computation of the Tikhonov regularization parameter by goal oriented adaptive discretization
Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach
Multilevel algorithms for Rannacher-Turek finite element approximation of 3D elliptic problems
A General Framework for Soft-Shrinkage with Applications to Blind Deconvolution and Wavelet Denoising
A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints
A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems without Control Constraints
Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity
Markov Chain Monte Carlo Methods for Parameter Estimation in Multidimensional Continuous Time Markov Switching Models
Asymptotic results for the sum of dependent non-identically distributed random variables
Convergence rates for linear inverse problems in the presence of an additive normal noise
2006
Functional A Posteriori Error Estimates for Discontinuous Galerkin Approximations of Elliptic Problems
A multilevel method for discontinuous Galerkin approximation of three-dimensional anisotropic elliptic problems
Interface Schur complement preconditioning for piece wise orthotropic discretizations with high aspect ratios
Multilevel preconditioning of elliptic problems discretized by a class of discontinuous Galerkin methods
Stability of steady states in kinetic Fokker-Planck equations for Bosons and Fermions
Overlapping Additive Schwarz preconditioners for degenerated elliptic problems: Part II- locally anisotropic problems
Overlapping Additive Schwarz preconditioners for degenerated elliptic problems: Part I- isotropic problems
Faithful Recovery of Vector Valued Functions from Incomplete Data. Recolorization and Art Restoration
Restoration of color images by vector valued BV functions and variational calculus
Constrained Dirichlet Boundary Control in L² for a Class of Evolution Equations
Quantitative Stability Analysis of Optimal Solutions in PDE-Constrained Optimization
Functional a posteriori error estimates for problems with nonlinear boundary conditions
Generalized aggregation-based multilevel preconditioning of Crouzeix-Raviart FEM elliptic problems
Fast domain decomposition algorithm for discretizations of 3-d elliptic equations by spectral elements
Exact solutions for dividend strategies of threshold and barrier type in a Sparre Andersen model
Optimal Control of the Convection-Diffusion Equation using Stabilized Finite Element Methods
A Runge-Kutta discontinuous Galerkin method for linear free-surface gravity waves using high order velocity recovery
Convergence of projected iterative regularization methods for nonlinear problems with smooth solutions
Methods for reliable topology changes for perimeter regularized geometric inverse problems
2005
On the Interplay Between Interior Point Approximation and Parametric Sensitivities in Optimal Control
CBS constants for graph-Laplacians and application to multilevel methods for discontinuous Galerkin systems
Sensitivity analysis with respect to a local perturbation of the material property
Domain Decomposition Preconditioning for Elliptic Problems with Jumps in Coefficients
Topological sensitivity analysis in the context of ultrasonic nondestructive testing
State estimation approach to nonstationary inverse problems: discretization error and filtering problem
Algebraic multigrid based on computational molecules, 2: Systems of elliptic partial differential equations
Convergence Analysis of Geometric Multigrid Methods for Solving Data-Sparse Boundary Element Equations
Numerical Sensitivity Analysis for the Quantity of Interest in PDE-Constrained Optimization
The Keller-Segel model for chemotaxis with prevention of overcrowding: Linear vs. nonlinear diffusion
Superconvergence in Finite Element Methods for the Optimal Control Problem of the Stokes Equations
Strict Contractivity of the 2-Wasserstein distance for the porous medium equation by mass-centering
Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements
A Practical Optimal Control Approach to the Stationary MHD System in Velocity--Current Formulation
Accelerated Newton-Landweber Iterations for Regularizing Nonlinear Inverse Problems
2004
Path-following Methods for a Class of Constrained Minimization Problems in Function Space
Mesh Refinement and Numerical Sensitivity Analysis for Parameter Calibration of Partial Differential Equations
Differential Stability of Control Constrained Optimal Control Problems for the Navier-Stokes Equations
Tikhonov Regularization Applied to the Inverse Problem of Option Pricing: Convergence Analysis and Rates
Global Uniqueness and Hölder Stability for Recovering a Nonlinear Source Term in a Parabolic Equation
An agglomeration-based multilevel-topology concept with application to 3D-FE meshes
Path-Following Methods for a class of Constrained Minimization Problems in Function Space
Algebraic multilevel preconditioning of finite element matrices based on element agglomeration