Carsten Carstensen

,

Karoline Köhler

SIAM J. Numer. Anal., 2017

Convergence of natural adaptive least squares finite element methods.

[BibT_eX]

[DOI]

,

,

Philipp Bringmann

Numerische Mathematik, 2017

An adaptive least-squares FEM for the Stokes equations with optimal convergence rates.

[BibT_eX]

[DOI]

Philipp Bringmann

,

Numerische Mathematik, 2017

Minimum Residual and Least Squares Finite Element Methods II.

[BibT_eX]

[DOI]

,

,

,

Comput. Math. Appl., 2017

-adaptive least-squares finite element methods for the 2D Stokes equations of any order with optimal convergence rates.

[BibT_eX]

[DOI]

Philipp Bringmann

,

Comput. Math. Appl., 2017

Low-Order Discontinuous Petrov-Galerkin Finite Element Methods for Linear Elasticity.

[BibT_eX]

[DOI]

,

Friederike Hellwig

SIAM J. Numer. Anal., 2016

An optimal adaptive finite element method for elastoplasticity.

[BibT_eX]

[DOI]

,

Andreas Schröder

,

Sebastian Wiedemann

Numerische Mathematik, 2016

A natural nonconforming FEM for the Bingham flow problem is quasi-optimal.

[BibT_eX]

[DOI]

,

B. Daya Reddy

,

Numerische Mathematik, 2016

The norm of a discretized gradient in \(\varvec{H({{\mathrm{div}}})^*}\) for a posteriori finite element error analysis.

[BibT_eX]

[DOI]

,

,

Andreas Schröder

Numerische Mathematik, 2016

Justification of the saturation assumption.

[BibT_eX]

[DOI]

,

,

Numerische Mathematik, 2016

Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems.

[BibT_eX]

[DOI]

,

,

,

Numerische Mathematik, 2016

Reliable Averaging for the Primal Variable in the Courant FEM and Hierarchical Error Estimators on Red-Refined Meshes.

[BibT_eX]

[DOI]

,

Martin Eigel

Comput. Methods Appl. Math., 2016

Breaking spaces and forms for the DPG method and applications including Maxwell equations.

[BibT_eX]

[DOI]

,

Leszek F. Demkowicz

,

Jay Gopalakrishnan

Comput. Math. Appl., 2016

Convergence and Optimality of Adaptive Least Squares Finite Element Methods.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2015

Nonconforming FEMs for an Optimal Design Problem.

[BibT_eX]

[DOI]

,

Dongjie Liu

SIAM J. Numer. Anal., 2015

Weakly over-penalized discontinuous Galerkin schemes for Reissner-Mindlin plates without the shear variable.

[BibT_eX]

[DOI]

Paulo Rafael Bösing

,

Numerische Mathematik, 2015

Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems.

[BibT_eX]

[DOI]

,

,

Math. Comput., 2015

Convergence of adaptive finite element methods for a nonconvex double-well minimization problem.

[BibT_eX]

[DOI]

,

Math. Comput., 2015

Discontinuous Galerkin with Weakly Over-Penalized Techniques for Reissner-Mindlin Plates.

[BibT_eX]

[DOI]

Paulo Rafael Bösing

,

J. Sci. Comput., 2015

An Optimal Adaptive Finite Element Method for an Obstacle Problem.

[BibT_eX]

[DOI]

,

Comput. Methods Appl. Math., 2015

Refined Fully Explicit a Posteriori Residual-Based Error Control.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2014

A Posteriori Error Control for DPG Methods.

[BibT_eX]

[DOI]

,

Leszek F. Demkowicz

,

Jayadeep Gopalakrishnan

SIAM J. Numer. Anal., 2014

An adaptive finite element method with asymptotic saturation for eigenvalue problems.

[BibT_eX]

[DOI]

,

,

,

Numerische Mathematik, 2014

Guaranteed lower eigenvalue bounds for the biharmonic equation.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2014

Guaranteed lower bounds for eigenvalues.

[BibT_eX]

[DOI]

,

Math. Comput., 2014

Computational Survey on A Posteriori Error Estimators for the Crouzeix-Raviart Nonconforming Finite Element Method for the Stokes Problem.

[BibT_eX]

[DOI]

,

Comput. Methods Appl. Math., 2014

Low-order dPG-FEM for an elliptic PDE.

[BibT_eX]

[DOI]

,

,

,

Comput. Math. Appl., 2014

A discrete Helmholtz decomposition with Morley finite element functions and the optimality of adaptive finite element schemes.

[BibT_eX]

[DOI]

,

,

Comput. Math. Appl., 2014

Axioms of adaptivity.

[BibT_eX]

[DOI]

,

,

,

Comput. Math. Appl., 2014

A posteriori error analysis of stabilised FEM for degenerate convex minimisation problems under weak regularity assumptions.

[BibT_eX]

[DOI]

Wolfgang Boiger

,

Adv. Model. Simul. Eng. Sci., 2014

Discrete Reliability for Crouzeix-Raviart FEMs.

[BibT_eX]

[DOI]

,

,

SIAM J. Numer. Anal., 2013

Quasi-optimal Adaptive Pseudostress Approximation of the Stokes Equations.

[BibT_eX]

[DOI]

,

,

SIAM J. Numer. Anal., 2013

Finite element network approximation of conductivity in particle composites.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2013

Optimal adaptive nonconforming FEM for the Stokes problem.

[BibT_eX]

[DOI]

,

,

Numerische Mathematik, 2013

Effective postprocessing for equilibration a posteriori error estimators.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2013

A posteriori error estimates for nonconforming finite element methods for fourth-order problems on rectangles.

[BibT_eX]

[DOI]

,

,

Numerische Mathematik, 2013

Computational survey on a posteriori error estimators for nonconforming finite element methods for the Poisson problem.

[BibT_eX]

[DOI]

,

J. Comput. Appl. Math., 2013

Numerical Experiments for the Arnold-Winther Mixed Finite Elements for the Stokes Problem.

[BibT_eX]

[DOI]

,

,

SIAM J. Sci. Comput., 2012

The Adaptive Nonconforming FEM for the Pure Displacement Problem in Linear Elasticity is Optimal and Robust.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2012

Comparison Results of Finite Element Methods for the Poisson Model Problem.

[BibT_eX]

[DOI]

,

,

SIAM J. Numer. Anal., 2012

Mixed Finite Element Method for a Degenerate Convex Variational Problem from Topology Optimization.

[BibT_eX]

[DOI]

,

David Günther

,

SIAM J. Numer. Anal., 2012

An Adaptive Finite Element Eigenvalue Solver of Asymptotic Quasi-Optimal Computational Complexity.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2012

P1-Nonconforming Finite Elements on Triangulations into Triangles and Quadrilaterals.

[BibT_eX]

[DOI]

Robert Altmann

,

SIAM J. Numer. Anal., 2012

Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy.

[BibT_eX]

[DOI]

,

J. Num. Math., 2012

A Priori and A Posteriori Pseudostress-velocity Mixed Finite Element Error Analysis for the Stokes Problem.

[BibT_eX]

[DOI]

,

Dongho Kim

,

SIAM J. Numer. Anal., 2011

An adaptive homotopy approach for non-selfadjoint eigenvalue problems.

[BibT_eX]

[DOI]

,

,

,

Numerische Mathematik, 2011

An oscillation-free adaptive FEM for symmetric eigenvalue problems.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2011

An optimal adaptive mixed finite element method.

[BibT_eX]

[DOI]

,

Math. Comput., 2011

On the Strong Convergence of Gradients in Stabilized Degenerate Convex Minimization Problems.

[BibT_eX]

[DOI]

Wolfgang Boiger

,

SIAM J. Numer. Anal., 2010

Analysis of a Class of Penalty Methods for Computing Singular Minimizers.

[BibT_eX]

[DOI]

,

Christoph Ortner

Comput. Methods Appl. Math., 2010

Modelling and simulation of process: machine interaction in grinding.

[BibT_eX]

[DOI]

,

,

,

,

,

,

,

,

,

Prod. Eng., 2009

A unifying theory of a posteriori error control for discontinuous Galerkin FEM.

[BibT_eX]

[DOI]

,

Thirupathi Gudi

,

Max Jensen

Numerische Mathematik, 2009

Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems.

[BibT_eX]

[DOI]

,

J. Num. Math., 2009

A convergent adaptive finite element method for an optimal design problem.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2008

A posteriori error analysis for conforming MITC elements for Reissner-Mindlin plates.

[BibT_eX]

[DOI]

,

Math. Comput., 2008

Averaging Techniques for the A Posteriori BEM Error Control for a Hypersingular Integral Equation in Two Dimensions.

[BibT_eX]

[DOI]

,

SIAM J. Sci. Comput., 2007

Framework for the A Posteriori Error Analysis of Nonconforming Finite Elements.

[BibT_eX]

[DOI]

,

,

Antonio Orlando

SIAM J. Numer. Anal., 2007

A unifying theory of a posteriori error control for nonconforming finite element methods.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2007

Convergence analysis of a conforming adaptive finite element method for an obstacle problem.

[BibT_eX]

[DOI]

Dietrich Braess

,

,

Numerische Mathematik, 2007

Averaging Techniques for the Effective Numerical Solution of Symm's Integral Equation of the First Kind.

[BibT_eX]

[DOI]

,

SIAM J. Sci. Comput., 2006

A Posteriori Error Estimates for Finite Element Approximation of Parabolic p-Laplacian.

[BibT_eX]

[DOI]

,

Wenbin Liu

,

Ningning Yan

SIAM J. Numer. Anal., 2006

Residual-based a posteriori error estimate for a mixed Reißner-Mindlin plate finite element method.

[BibT_eX]

[DOI]

,

Joachim Schöberl

Numerische Mathematik, 2006

Convergence analysis of an adaptive nonconforming finite element method.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2006

A posteriori FE error control for p-Laplacian by gradient recovery in quasi-norm.

[BibT_eX]

[DOI]

,

Wenbin Liu

,

Ningning Yan

Math. Comput., 2006

Error reduction and convergence for an adaptive mixed finite element method.

[BibT_eX]

[DOI]

,

R. H. W. Hoppe

Math. Comput., 2006

Numerical Analysis for a Macroscopic Model in Micromagnetics.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2005

Explicit and Averaging A Posteriori Error Estimates for Adaptive Finite Volume Methods.

[BibT_eX]

[DOI]

,

Raytcho D. Lazarov

,

Stanimire Tomov

SIAM J. Numer. Anal., 2005

Estimation of Higher Sobolev Norm from Lower Order Approximation.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2005

A posteriori dual-mixed adaptive finite element error control for Lamé and Stokes equations.

[BibT_eX]

[DOI]

,

Paola Causin

,

Riccardo Sacco

Numerische Mathematik, 2005

A unifying theory of a posteriori finite element error control.

[BibT_eX]

[DOI]

Numerische Mathematik, 2005

Convergence analysis of an adaptive edge finite element method for the 2D eddy current equations.

[BibT_eX]

[DOI]

,

J. Num. Math., 2005

Time-Space Discretization of the Nonlinear Hyperbolic System utt = div (\sigma(Du)+ Dut).

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2004

A posteriori error analysis for elliptic pdes on domains with complicated structures.

[BibT_eX]

[DOI]

,

Stefan A. Sauter

Numerische Mathematik, 2004

Residual-based a posteriori error estimate for hypersingular equation on surfaces.

[BibT_eX]

[DOI]

,

,

,

Numerische Mathematik, 2004

An a priori error estimate for finite element discretizations in nonlinear elasticity for polyconvex materials under small loads.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2004

Uniform convergence and a posteriori error estimators for the enhanced strain finite element method.

[BibT_eX]

[DOI]

Dietrich Braess

,

,

B. Daya Reddy

Numerische Mathematik, 2004

Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis.

[BibT_eX]

[DOI]

,

,

Numerische Mathematik, 2004

Averaging techniques yield reliable a posteriori finite element error control for obstacle problems.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2004

All first-order averaging techniques for a posteriori finite element error control on unstructured grids are efficient and reliable.

[BibT_eX]

[DOI]

Math. Comput., 2004

A Posteriori Error Control in Adaptive Qualocation Boundary Element Analysis for a Logarithmic-Kernel Integral Equation of the First Kind.

[BibT_eX]

[DOI]

,

SIAM J. Sci. Comput., 2003

A Posteriori Finite Element Error Control for the P-Laplace Problem.

[BibT_eX]

[DOI]

,

Roland Klose

SIAM J. Sci. Comput., 2003

Adaptive Finite Element Methods for Microstructures? Numerical Experiments for a 2-Well Benchmark.

[BibT_eX]

[DOI]

,

K. Jochimsen

Computing, 2003

Residual-Based A Posteriori Error Estimate for a Nonconforming Reissner-Mindlin Plate Finite Element.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2002

Local Stress Regularity in Scalar Nonconvex Variational Problems.

[BibT_eX]

[DOI]

,

Stefan Müller

SIAM J. Math. Anal., 2002

A posteriori error estimates for nonconforming finite element methods.

[BibT_eX]

[DOI]

,

,

Stefan Jansche

Numerische Mathematik, 2002

Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM.

[BibT_eX]

[DOI]

,

Math. Comput., 2002

Merging the Bramble-Pasciak-Steinbach and the Crouzeix-Thomée criterion for H1-stability of the L2-projection onto finite element spaces.

[BibT_eX]

[DOI]

Math. Comput., 2002

Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM.

[BibT_eX]

[DOI]

,

Math. Comput., 2002

Elastoviscoplastic Finite Element analysis in 100 lines of Matlab.

[BibT_eX]

[DOI]

,

Roland Klose

J. Num. Math., 2002

Matlab Implementation of the Finite Element Method in Elasticity.

[BibT_eX]

[DOI]

,

,

,

Computing, 2002

Numerical analysis of relaxed micromagnetics by penalised finite elements.

[BibT_eX]

[DOI]

,

Andreas Prohl

Numerische Mathematik, 2001

A posteriori error estimate and h-adaptive algorithm on surfaces for Symm's integral equation.

[BibT_eX]

[DOI]

,

Matthias Maischak

,

Ernst P. Stephan

Numerische Mathematik, 2001

A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems.

[BibT_eX]

[DOI]

,

Math. Comput., 2001

An experimental survey of a posteriori Courant finite element error control for the Poisson equation.

[BibT_eX]

[DOI]

,

,

Roland Klose

Adv. Comput. Math., 2001

Numerical Analysis of Compatible Phase Transitions in Elastic Solids.

[BibT_eX]

[DOI]

,

Petr Plechác

SIAM J. Numer. Anal., 2000

Numerical Analysis of Time-Depending PrimalElastoplasticity with Hardening.

[BibT_eX]

[DOI]

Jochen Alberty

,

SIAM J. Numer. Anal., 2000

Numerical approximation of young measuresin non-convex variational problems.

[BibT_eX]

[DOI]

,

Tomás Roubícek

Numerische Mathematik, 2000

Adaptive Finite Elements for Elastic Bodies in Contact.

[BibT_eX]

[DOI]

,

Oliver Scherf

,

Peter Wriggers

SIAM J. Sci. Comput., 1999

Fully Reliable Localized Error Control in the FEM.

[BibT_eX]

[DOI]

,

SIAM J. Sci. Comput., 1999

Numerical analysis of the primal problem of elastoplasticity with hardening.

[BibT_eX]

[DOI]

Numerische Mathematik, 1999

Remarks around 50 lines of Matlab: short finite element implementation.

[BibT_eX]

[DOI]

Jochen Alberty

,

,

Numer. Algorithms, 1999

Coupling of Nonconforming Finite Elements and Boundary Elements II: A Posteriori Estimates and Adaptive Mesh-Refinement.

[BibT_eX]

[DOI]

,

Computing, 1999

Coupling of Nonconforming Finite Elements and Boundary Elements I: A Priori Estimates.

[BibT_eX]

[DOI]

,

Computing, 1999

A posteriori error estimates for mixed FEM in elasticity.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 1998

Domain decomposition for a non-smooth convex minimization problem and its application to plasticity.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 1997

Numerical solution of the scalar double-well problem allowing microstructure.

[BibT_eX]

[DOI]

,

Petr Plechác

Math. Comput., 1997

A posteriori error estimate for the mixed finite element method.

[BibT_eX]

[DOI]

Math. Comput., 1997

An a posteriori error estimate for a first-kind integral equation.

[BibT_eX]

[DOI]

Math. Comput., 1997

Efficiency of a posteriori BEM-error estimates for first-kind integral equations on quasi-uniform meshes.

[BibT_eX]

[DOI]

Math. Comput., 1996

A Posteriori Error Estimate for the Symmetric Coupling of Finite Elements and Boundary Elements.

[BibT_eX]

[DOI]

Computing, 1996

De Casteljau's algorithm is an extrapolation method.

[BibT_eX]

[DOI]

,

Günter W. Mühlbach

,

G. Schmidt

Comput. Aided Geom. Des., 1995

On some interval methods for algebraic, exponential and trigonometric polynomials.

[BibT_eX]

[DOI]

,

Miodrag S. Petkovic

Computing, 1993

The Neville-Aitken formula for rational interpolants with prescribed poles.

[BibT_eX]

[DOI]

,

Günter W. Mühlbach

Numer. Algorithms, 1992

A reliable modification of the cross rule for rational Hermite interpolation.

[BibT_eX]

[DOI]

Bernhard Beckermann

,