Michael Karkulik

发表

H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${\mathscr{H}}$\end{document}-matrix approximability of inverses of dis

Michael Karkulik, Jens Markus Melenk, J. Melenk, 2018, Advances in Computational Mathematics.

Efficiency and Optimality of Some Weighted-Residual Error Estimator for Adaptive 2D Boundary Element Methods

Michael Karkulik, Michael Feischl, Dirk Praetorius, 2013, Comput. Methods Appl. Math..

Variational formulation of time-fractional parabolic equations

Michael Karkulik, 2018, Comput. Math. Appl..

Combining the DPG Method with Finite Elements

Norbert Heuer, Michael Karkulik, Thomas Führer, 2018, Comput. Methods Appl. Math..

Quasi-optimal Convergence Rate for an Adaptive Boundary Element Method

Michael Karkulik, Jens Markus Melenk, Michael Feischl, 2013, SIAM J. Numer. Anal..

DPG Method with Optimal Test Functions for a Fractional Advection Diffusion Equation

Norbert Heuer, Michael Karkulik, Thomas Führer, 2015, Journal of Scientific Computing.

Adaptive Boundary Element Methods

Norbert Heuer, Michael Karkulik, Michael Feischl, 2014 .

Note on discontinuous trace approximation in the practical DPG method

Norbert Heuer, Francisco-Javier Sayas, Michael Karkulik, 2014, Comput. Math. Appl..

Stability of symmetric and nonsymmetric FEM–BEM couplings for nonlinear elasticity problems

Michael Karkulik, Michael Feischl, Dirk Praetorius, 2012, Numerische Mathematik.

HILBERT — a MATLAB implementation of adaptive 2D-BEM

Michael Karkulik, Michael Feischl, Dirk Praetorius, 2014, Numerical Algorithms.

DPG method with optimal test functions for a transmission problem

Norbert Heuer, Michael Karkulik, 2015, Comput. Math. Appl..

A posteriori error estimators, adaptivity, convergence, and implementation

Norbert Heuer, Michael Karkulik, Michael Feischl, 2014 .

On the coupling of DPG and BEM

Norbert Heuer, Michael Karkulik, Thomas Führer, 2017, Math. Comput..

Discontinuous Petrov–Galerkin boundary elements

Norbert Heuer, Michael Karkulik, 2017, Numerische Mathematik.

ZZ-Type a posteriori error estimators for adaptive boundary element methods on a curve☆

Michael Karkulik, Michael Feischl, Dirk Praetorius, 2013, Engineering analysis with boundary elements.

Local inverse estimates for non-local boundary integral operators

Michael Karkulik, Jens Markus Melenk, Michael Feischl, 2015, Math. Comput..

Hilbert (Release 2): A MATLAB Implementation of Adaptive BEM

Michael Karkulik, Michael Feischl, Dirk Praetorius, 2010 .

N ov 2 01 4 Local high-order regularization and applications to hp-methods ( extended version ) ∗

Michael Karkulik, Jens Markus Melenk, J. Melenk, 2014 .

Space-time least-squares finite elements for parabolic equations pdf

Michael Karkulik, Thomas Führer, T. Führer, 2019, Comput. Math. Appl..

Local convergence of the FEM for the integral fractional Laplacian pdf

Michael Karkulik, Markus Faustmann, Jens Markus Melenk, 2020, ArXiv.

Analysis of Backward Euler Primal DPG Methods

Norbert Heuer, Michael Karkulik, Thomas Führer, 2021, Comput. Methods Appl. Math..

MINRES for second-order PDEs with singular data pdf

Norbert Heuer, Michael Karkulik, Thomas Führer, 2021, ArXiv.

Stable decompositions of hp-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D

Michael Karkulik, Jens Markus Melenk, Alexander Rieder, 2018, ESAIM: Mathematical Modelling and Numerical Analysis.

On 2D Newest Vertex Bisection: Optimality of Mesh-Closure and H1-Stability of L2-Projection

Michael Karkulik, Dirk Praetorius, M. Karkulik, 2013 .

Energy norm based error estimators for adaptive BEM for hypersingular integral equations

Michael Karkulik, Michael Feischl, Dirk Praetorius, 2015 .

New a priori analysis of first‐order system least‐squares finite element methods for parabolic problems

Michael Karkulik, Thomas Führer, T. Führer, 2018, Numerical Methods for Partial Differential Equations.

Convergence of adaptive 3D BEM for weakly singular integral equations based on isotropic mesh‐refinement

Michael Karkulik, Dirk Praetorius, M. Karkulik, 2013 .

A MATLAB IMPLEMENTATION OF ADAPTIVE BEM

Michael Karkulik, Michael Feischl, Dirk Praetorius, 2010 .

HILBERT – A MATLAB Implementation of Adaptive BEM

Michael Karkulik, Dirk Praetorius, Michael Ebner, 2009 .

No . 10 / 2012 On 2 D newest vertex bisection : Optimality of mesh-closure and H 1-stability of L 2-projection

Michael Karkulik, Jens Markus Melenk, Michael Feischl, 2012 .

Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, part I: weakly-singular integral equation

Michael Karkulik, Jens Markus Melenk, Michael Feischl, 2014 .

Inverse estimates for elliptic boundary integral operators and their application to the adaptive coupling of FEM and BEM

Michael Karkulik, Jens Markus Melenk, Michael Feischl, 2012, 1211.4360.

L2-orthogonal projections onto finite elements on locally refined meshes are H1-stable

Michael Karkulik, Dirk Praetorius, Carl-Martin Pfeiler, 2013, 1307.0917.

Residual A-Posteriori Error Estimates in BEM : Convergence of h-Adaptive Algorithms

Michael Karkulik, Jens Markus Melenk, Michael Feischl, 2011 .

On 2D newest vertex bisection: Optimality of mesh-closure and H 1 -stability of

Michael Karkulik, Dirk Praetorius, M. Karkulik, 2012 .

Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity

Michael Karkulik, Jens Markus Melenk, Michael Feischl, 2012, 1211.4225.