Constrained Lp Approximation of Shape Tensors and its Role for the Determination of Shape Gradients (jointly with Laura Hetzel), submitted for publication, available as arXiv:2406.14405v1 [math.NA]
Shape Optimization by Constrained First-Order System Least Mean Approximation, SIAM Journal on Scientific Computing 46 (2024), A3044-A3066
Multigrid for the Dual Formulation of the Frictionless Signorini Problem (jointly with Gabriele Rovi, Bernhard Kober and Rolf Krause), International Journal Numer. Methods Engrg. 124 (2023), 2367–2388
Stress-Based Methods for Quasi-Variational Inequalities Associated with Frictional Contact (jointly with Bernhard Kober, Rolf Krause and Gabriele Rovi), In: Non-Smooth and Complementarity-Based Distributed Parameter Systems (M. Hintermüller et al., eds.), International Series of Numerical Mathematics 172, Birkhäuser-Verlag (2022), pp. 445-466
Weakly Symmetric Stress Equilibration and A Posteriori Error Estimation for Linear Elasticity (jointly with Fleurianne Bertrand, Bernhard Kober and Marcel Moldenhauer), Numerical Methods for Partial Differential Equations 37 (2021), 2783-2802
A Posteriori Error Estimates by Weakly Symmetric Stress Reconstruction for the Biot Problem (jointly with Fleurianne Bertrand), Computers and Mathematics with Applications 91 (2021), 3-16
Weakly Symmetric Stress Equilibration for Hyperelastic Material Models (jointly with Fleurianne Bertrand and Marcel Moldenhauer), GAMM-Mitteilungen 43 (2020) e202000007
Strong vs. Weak Symmetry in Stress-Based Mixed Finite Element Methods for Linear Elasticity (jointly with Bernhard Kober), In: Numerical Mathematics and Advanced Applications ENUMATH 2017 (F. A. Radu et al., eds.), Lecture Notes in Computational Science and Engineering 126, Springer-Verlag (2019), pp. 323-333
A Posteriori Error Estimation for Planar Linear Elasticity by Stress Reconstruction (jointly with Fleurianne Bertrand and Marcel Moldenhauer), Computational Methods in Applied Mathematics 19 (2019), 663-679
An Adaptive Least-Squares FEM for Linear Elasticity with Optimal Convergence Rates (jointly with Philipp Bringmann and Carsten Carstensen), SIAM Journal on Numerical Analysis 56 (2018), 428-447
A Prange-Hellinger-Reissner Type Finite Element Formulation for Small Strain Elasto-Plasticity (jointly with Jörg Schröder, Maximilian Igelbüscher and Alexander Schwarz), Computer Methods in Applied Mechanics and Engineering 317 (2017), 400-418
An Adaptive Least-Squares Mixed Finite Element Method for the Signorini Problem (jointly with Rolf Krause and Benjamin Müller), Numerical Methods for Partial Differential Equations 33 (2017), 276-289
Parametric Raviart-Thomas Elements for Mixed Methods on Domains with Curved Surfaces (jointly with Fleurianne Bertrand), SIAM Journal on Numerical Analysis 54 (2016), 3648-3667
Stress-Based Finite Element Methods in Linear and Nonlinear Solid Mechanics (jointly with Benjamin Müller), In: Advanced Computational Engineering (Jörg Schröder, Peter Wriggers, eds.), CISM International Centre for Mechanical Sciences Vol. 566, Springer-Verlag, 2016, pp. 69-104
Dev-Div- and Devsym-Devcurl-Inequalities for Incompatible Square Tensor Fields with Mixed Boundary Conditions (jointly with Sebastian Bauer, Patrizio Neff and Dirk Pauly), ESAIM: Control, Optimization and Calculus of Variations 22 (2016), 112-133
First-Order System Least Squares on Curved Boundaries: Higher-Order Raviart-Thomas Elements (jointly with Fleurianne Bertrand and Steffen Münzenmaier), SIAM Journal on Numerical Analysis 52 (2014), 3165-3180
A First-Order System Least Squares Method for Hyperelasticity (jointly with Benjamin Müller, Alexander Schwarz and Jörg Schröder), SIAM Journal on Scientific Computing 36 (2014), B795-B816
First-Order System Least Squares on Curved Boundaries: Lowest-Order Raviart-Thomas Elements (jointly with Fleurianne Bertrand and Steffen Münzenmaier),
SIAM Journal on Numerical Analysis 52 (2014), 880-894
New Poincaré-Type Inequalities (jointly with Sebastian Bauer, Patrizio Neff and Dirk Pauly), C. R. Acad. Sci. Paris, Ser. I 352, pp. 163-166 (2014)
Efficient Solvers for Mixed Finite Element Discretizations of Nonlinear
Problems in Solid Mechanics, in: Modelling, Simulation and Software Concepts
for Scientific-Technological Problems (edited by E. Stephan, P. Wriggers),
Springer Lecture Notes in Applied and Computational Mechanics 57, pp. 201-209 (2011)
Analysis of a Modified First-Order Least Squares Method
for Linear Elasticity with Improved Momentum Balance
(jointly with Alexander Schwarz and Jörg Schröder),
SIAM Journal on Numerical Analysis 49 (2011), 1006-1022
First-Order System Least Squares for Coupled Stokes-Darcy Flow
(jointly with Steffen Münzenmaier),
SIAM Journal on Numerical Analysis 49 (2011), 387-404
Adaptive Least Squares Finite Element Methods in Elasto-Plasticity, LSSC 2009
(edited by I. Lirkov, S. Margenov, J. Wasniewski), Springer Lecture Notes in
Computer Science 5910, pp. 671-678 (2010)
A Modified Least-Squares Mixed Finite Element with
Improved Momentum Balance (jointly with Alexander Schwarz and Jörg Schröder),
International Journal for Numerical Methods in Engineering 81 (2010),
286-306
First-Order System Least Squares for the Signorini Contact Problem
in Linear Elasticity (jointly with Frank S. Attia and Zhiqiang Cai),
SIAM Journal on Numerical Analysis 47 (2009), 3027-3043
Least-Squares Mixed Finite Elements for Small Strain
Elasto-Viscoplasticity (jointly with A. Schwarz and J. Schröder),
International Journal for Numerical Methods in Engineering 77 (2009),
1351-1370
First-Order System Least-Squares for Darcy-Stokes Flow
(jointly with Garvin Danisch), SIAM Journal on Numerical Analysis 45
(2007), 731-745
An Adaptive Least-Squares Mixed Finite Element
Method for Elasto-Plasticity, SIAM Journal on Numerical Analysis 45
(2007), 371-388
Finite Element Analysis of Poro-Elastic
Consolidation in Porous Media: Standard and Mixed Approaches
(jointly with Johannes Korsawe and Olaf Kolditz and Wenqing Wang),
Computer Methods in Applied Mechanics and Engineering 195 (2006), 1096-1115
On Discrete Korn's Inequality for some Nonconforming Finite Element
Approaches to Linear Elasticity (jointly with Frank S. Attia),
Proc. Appl. Math. Mech. 5 (2005), 823-824
An Adaptive Mixed Finite Element Method
for Elasto-Plastic Consolidation (jointly with Jörg Kubitz),
Proceedings 5. Workshop ``Porous Media'' (edited
by Olaf Kolditz et.al.), University of Tübingen (2005)
Analysis of First-Order System Least
Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients:
Part I (jointly with Markus Berndt and Thomas A. Manteuffel and Stephen
F. McCormick), SIAM Journal on Numerical Analysis 43 (2005), 386-408
A Least-Squares Mixed Finite Element Method for Biot's
Consolidation Problem in Porous Media (jointly with Johannes Korsawe),
SIAM Journal on Numerical Analysis 43 (2005), 318-339
A First-Order System Least-Squares Finite
Element Method for the Shallow Water Equations,
SIAM Journal on Numerical Analysis 42 (2005), 2387-2407
An Adaptive Least Squares Mixed Finite
Element Method for the Stress-Displacement Formulation of Linear
Elasticity (jointly with Zhiqiang Cai and Johannes Korsawe),
Numerical Methods for Partial Differential Equations 21 (2005), 132-148
A Preconditioner for the Equations of Linear Elasticity
Discretized by the PEERS Element (jointly with Axel Klawonn),
Numerical Linear Algebra with Applications 11 (2004), 493-510
Least-Squares Methods for Linear Elasticity (jointly with Zhiqiang Cai),
SIAM Journal on Numerical Analysis 42 (2004), 826-842
Numerical Approximation of Water-Air Two-Phase Flow by the
Mixed Finite Element Method (jointly with Johannes Korsawe,
Eugen Perau and Susanne Potthoff),
Computers and Geotechnics 30 (2003), 695-705
A Least Squares Mixed Finite Element Method
for Variably Saturated Subsurface Flow in Deformable Porous Media
(jointly with Johannes Korsawe),
Proceedings 4. Workshop ``Porous Media'' (edited
by Olaf Kolditz et.al.), University of Tübingen (2003)
First-Order System Least Squares for the
Stress-Displacement Formulation: Linear Elasticity (jointly with
Zhiqiang Cai), SIAM Journal on Numerical Analysis 41 (2003), 715-730
Least-Squares Galerkin Methods for Parabolic Problems II: The Fully Discrete
Case and Adaptive Algorithms (jointly with Mohammad Majidi),
SIAM Journal on Numerical Analysis 39 (2002), 1648-1666
Least-Squares Galerkin Methods for Parabolic Problems I: Semi-Discretization
in Time (jointly with Mohammad Majidi),
SIAM Journal on Numerical Analysis 39 (2001), 1302-1323
Gauss-Newton Multilevel Methods for Least-Squares Finite Element Computations of
Variably Saturated Subsurface Flow, Computing 64 (2000), 323-338
Least-Squares Mixed Finite Element Solution of Variably Saturated Subsurface
Flow Problems,
SIAM Journal on Scientific Computing 21 (2000), 1869-1885
Multilevel Projection Methods for Nonlinear Least-Squares
Finite Element Computations (jointly with Johannes Korsawe),
Electronic Transactions on Numerical Analysis 10 (2000), 56-73
Isotherms of Capillary Condensation Influenced by Formation of Adsorption
Films: 1. Calculation for Model Cylindrical and Slit Pores (jointly with
Jürgen Adolphs and Nikolai V. Churaev), Journal of Colloid and Interface Science
221 (2000), 246-253
A Boundary Functional for the Least-Squares Finite Element Solution of
Neutron Transport Problems (jointly with Thomas A. Manteuffel and Klaus J. Ressel),
SIAM Journal on Numerical Analysis 37 (2000), 556-586
Multilevel Boundary Functionals for Least-Squares Mixed Finite Element Methods,
SIAM Journal on Numerical Analysis 36 (1999), 1065-1077
Coarse Space Orthogonalization for Indefinite Linear Systems of Equations
Arising in Geometrically Nonlinear Elasticity
(jointly with Jens Georg Schmidt), Applied Numerical Mathematics 30 (1999),
267-280
Block Triangular Preconditioners for Nonsymmetric Saddle Point Problems:
Field-of-Values Analysis (jointly with Axel Klawonn),
Numerische Mathematik 81 (1999), 577-594
Multilevel Methods using Exponential Test Functions on Triangles for
Convection-Diffusion Problems ,
Iterative Methods in Scientific Computation (edited by J. Wang, M. B. Allen III,
B. M. Chen, T. Mathew), IMACS Series in Computational and Applied Mathematics 4,
pages 185-190 (1998)
Multilevel Computation of Streamline Diffusion Finite Element Discretizations
for Convection-Diffusion Problems,
Large-Scale Scientific Computations of Engineering and Environmental Problems
(edited by M. Griebel, O. P. Iliev, S. D. Margenov, P. S. Vassilevski),
Notes on Numerical Fluid Mechanics 62, pages 281-289, Vieweg-Verlag (1998)
Multilevel Preconditioning Based on Discrete Symmetrization for
Convection-Diffusion Equations (jointly with Michael Griebel),
Journal of Computational and Applied Mathematics 83 (1997), 165-183
Field-of-values analysis of preconditioned iterative methods for
nonsymmetric elliptic problems,
Numerische Mathematik 78 (1997), 103-117
Subspace orthogonalization for substructuring preconditioners for
nonselfadjoint elliptic problems,
SIAM Journal on Scientific Computing 18 (1997), 1108-1121
Multilevel minimal residual methods for nonsymmetric elliptic problems,
Numerical Linear Algebra with Applications 3 (1996), 351-367
Multilevel preconditioning for the time-harmonic Maxwell
equations, 12th Annual Review of Progress in Applied Computational
Electromagnetics, (1996), 630-637
On hybrid iterative methods for nonsymmetric systems of linear
equations (jointly with Thomas A. Manteuffel),
Numerische Mathematik 73 (1996), 489-506
Preconditioned Krylov subspace methods for Lyapunov matrix
equations (jointly with Marlis Hochbruck), SIAM Journal on Matrix Analysis and
Applications 16 (1995), 156-171
Adaptive k-step iterative methods for nonsymmetric systems
of linear equations (jointly with Thomas A. Manteuffel and Richard S. Varga),
Electronic Transactions on Numerical Analysis 3 (1995), 50-65
Alternating direction preconditioning for nonsymmetric systems
of linear equations, SIAM Journal on Scientific Computing 15 (1994), 369--384
On the convergence of line iterative methods for cyclically
reduced non-symmetrizable linear systems (jointly with Howard C. Elman and
Gene H. Golub), Numerische Mathematik 67 (1994), 177-190
Hybrid iterative methods based on Faber polynomials,
Linear Algebra for Large Scale and Real-Time Applications (1993), 421-422
A hybrid Arnoldi-Faber iterative method for nonsymmetric systems of linear
equations (jointly with Richard S. Varga), Numerische Mathematik 64 (1993), 213-240
Fields of values and the ADI method for non-normal matrices,
Linear Algebra and Applications 180 (1993), 199-218
Fejer-Walsh points for rational functions and their use in the ADI iterative
method, Journal of Computational and Applied Mathematics 46 (1993), 129-141
SOR-like Methods for Lyapunov Matrix Equations,
Proceedings of the IMACS International Symposium on Iterative Methods in Linear Algebra,
North-Holland (1992), 233-240
Near-circularity for the rational Zolotarev problem in the
complex plane, Journal of Approximation Theory 70 (1992), 115-130
Optimal ADI parameters for nonsymmetric systems of linear
equations, SIAM Journal on Numerical Analysis 28 (1991), 1431-1445
SOR for AX - XB = C (jointly with Wilhelm Niethammer),
Linear Algebra and Applications 154-156 (1991), 355-375
The near-best solution of a polynomial minimization problem
by the Carathéodory-Fejér method (jointly with Michael Eiermann),
Constructive Approximation 6 (1990) 303-319
Untersuchungen eines Iterationsverfahrens zur Lösung der
Lyapunov-Matrix-Gleichung, ZAMM 69 (1989), T193-T195
