### Selected Year

### Reports From: 2022-2003

#### 2022

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