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- Carsten Carstensen, Matthias Maischak, Ernst P. Stephan
- Numerische Mathematik
- 2001

A residual-based a posteriori error estimate for boundary integral equations on surfaces is derived in this paper. A localisation argument involves a Lipschitz partition of unity such as nodal basis… (More)

- Carsten Carstensen, Matthias Maischak, Dirk Praetorius, Ernst P. Stephan
- Numerische Mathematik
- 2004

Carsten Carstensen1, M. Maischak2, D. Praetorius1, E.P. Stephan2 1 Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology, Wiedner Hauptstrasse 8-10/115, 1040 Wien,… (More)

- Hinrich Holm, Matthias Maischak, Ernst P. Stephan
- Computing
- 1996

We study the boundary element method for weakly singular and hypersingular integral equations of the first kind on screens resulting from the Dirichlet and Neumann problems for the Helmholtz… (More)

- Catalina Domı́nguez Garćıa, Ernst P. Stephan, Matthias Maischak
- 2009

In this paper we develop an a posteriori error analysis of a coupling of finite elements and boundary elements for a fluid-structure interaction problem in two and three dimensions. This problem is… (More)

- Norbert Heuer, Matthias Maischak, Ernst P. Stephan
- Numerische Mathematik
- 1999

We analyze the boundary element Galerkin method for weakly singular and hypersingular integral equations of the rst kind on open surfaces. We show that the hp-version of the Galerkin method with… (More)

We analyze the h-p version of the bem for mixed Dirichlet Neumann problems of the Laplacian in polyhedral domains. Based on a regularity analysis of the solution in count-ably normed spaces we show… (More)

This paper is concerned with the dual formulation of the interface problem consisting of a linear partial differential equation with variable coefficients in some bounded Lipschitz domain Ω in R n (n… (More)

- Matthias Maischak, Andreas Krebs, Ernst P. Stephan
- Electronic Notes in Discrete Mathematics
- 2010

We present a quadratic programming problem arising from the p-version for a finite element method with an obstacle condition prescribed in Gauss-Lobatto points. We show convergence of the approximate… (More)

- Carola Kruse, Matthias Maischak
- Comput. Meth. in Appl. Math.
- 2013

The Galerkin and SDFEM methods are compared for a steady state convection problem. The theoretical part of this work deals with the development of approximation results for continuous solutions on… (More)

- Matthias Maischak, Andreas Krebs, Ernst P. Stephan
- Discrete Applied Mathematics
- 2014