Ernst P. Stephan

Publication Activity (10 Years)

Years Active: 1996-2024
Publications (10 Years): 18

Top Topics

Boundary Element Method

Error Estimates

Diffuse Optical Tomography

Top Venues

Numerische Mathematik

Comput. Methods Appl. Math.

Comput. Math. Appl.

Publications

Thomas Hartmann, Ernst P. Stephan
Local error estimates and post processing for the Galerkin boundary element method on polygons. CoRR (2024)
Alessandra Aimi, Giulia Di Credico, Heiko Gimperlein, Ernst P. Stephan
Higher-order time domain boundary elements for elastodynamics: graded meshes and hp versions. Numerische Mathematik 154 (1-2) (2023)
Markus Faustmann, Ernst P. Stephan, David Wörgötter
Two-Level Error Estimation for the Integral Fractional Laplacian. Comput. Methods Appl. Math. 23 (3) (2023)
Heiko Gimperlein, Ernst P. Stephan
Coupling of Finite and Boundary Elements for Singularly Nonlinear Transmission and Contact Problems. Comput. Methods Appl. Math. 23 (2) (2023)
Alessandra Aimi, Giulia Di Credico, Heiko Gimperlein, Ernst P. Stephan
Higher-order time domain boundary elements for elastodynamics - graded meshes and hp versions. CoRR (2023)
Lothar Banz, Orlando Hernández, Ernst P. Stephan
-FEM for a Bingham type variational inequality of the second kind. Comput. Math. Appl. 126 (2022)
Heiko Gimperlein, Ceyhun Özdemir, Ernst P. Stephan
Error Estimates for FE-BE Coupling of Scattering of Waves in the Time Domain. Comput. Methods Appl. Math. 22 (4) (2022)
Heiko Gimperlein, Ceyhun Özdemir, David Stark, Ernst P. Stephan
A residual a posteriori error estimate for the time-domain boundary element method. Numerische Mathematik 146 (2) (2020)
Heiko Gimperlein, Ceyhun Özdemir, David Stark, Ernst P. Stephan
A residual a posteriori error estimate for the time-domain boundary element method. CoRR (2020)
Heiko Gimperlein, Ceyhun Özdemir, Ernst P. Stephan
A time-dependent FEM-BEM coupling method for fluid-structure interaction in 3d. CoRR (2020)
Dirk Praetorius, Michele Ruggeri, Ernst P. Stephan
The saturation assumption yields optimal convergence of two-level adaptive BEM. CoRR (2019)
Lothar Banz, Bishnu P. Lamichhane, Ernst P. Stephan
Higher Order Mixed FEM for the Obstacle Problem of the p-Laplace Equation Using Biorthogonal Systems. Comput. Methods Appl. Math. 19 (2) (2019)
Lothar Banz, Bishnu P. Lamichhane, Ernst P. Stephan
Higher order FEM for the obstacle problem of the p-Laplacian - A variational inequality approach. Comput. Math. Appl. 76 (7) (2018)
Ernst P. Stephan, Matthias T. Teltscher
Collocation with trigonometric polynomials for integral equations to the mixed boundary value problem. Numerische Mathematik 140 (1) (2018)
Heiko Gimperlein, Fabian Meyer, Ceyhun Özdemir, David Stark, Ernst P. Stephan
Boundary elements with mesh refinements for the wave equation. Numerische Mathematik 139 (4) (2018)
Lothar Banz, Heiko Gimperlein, Abderrahman Issaoui, Ernst P. Stephan
-BEM for frictional contact problems in linear elasticity. Numerische Mathematik 135 (1) (2017)
Lothar Banz, Ernst P. Stephan
Comparison of mixed hp-BEM (stabilized and non-stabilized) for frictional contact problems. J. Comput. Appl. Math. 295 (2016)
Michael Andres, Matthias Maischak, Ernst P. Stephan
Dual-Dual Formulation for a Contact Problem with Friction. Comput. Methods Appl. Math. 16 (1) (2016)
Lothar Banz, Ernst P. Stephan
On hp-adaptive BEM for frictional contact problems in linear elasticity. Comput. Math. Appl. 69 (7) (2015)
Michael Feischl, Thomas Führer, Gregor Mitscha-Eibl, Dirk Praetorius, Ernst P. Stephan
Convergence of Adaptive BEM and Adaptive FEM-BEM Coupling for Estimators Without h-Weighting Factor. Comput. Methods Appl. Math. 14 (4) (2014)
Adrian Costea, Heiko Gimperlein, Ernst P. Stephan
A Nash-Hörmander iteration and boundary elements for the Molodensky problem. Numerische Mathematik 127 (1) (2014)
Matthias Maischak, Andreas Krebs, Ernst P. Stephan
Quasi-optimal degree distribution for a quadratic programming problem arising from the p-version finite element method for a one-dimensional obstacle problem. Discret. Appl. Math. 164 (2014)
Lothar Banz, Ernst P. Stephan
hp-adaptive IPDG/TDG-FEM for parabolic obstacle problems. Comput. Math. Appl. 67 (4) (2014)
Quoc Thong Le Gia, Ernst P. Stephan, Thanh Tran
Solution to the Neumann problem exterior to a prolate spheroid by radial basis functions. Adv. Comput. Math. 34 (1) (2011)
Heiko Gimperlein, Matthias Maischak, Elmar Schrohe, Ernst P. Stephan
Adaptive FE-BE coupling for strongly nonlinear transmission problems with Coulomb friction. Numerische Mathematik 117 (2) (2011)
Ricardo A. Prato Torres, Ernst P. Stephan, Florian Leydecker
A FE/BE coupling for the 3D time-dependent eddy current problem. Part I: a priori error estimates. Computing 88 (3-4) (2010)
Thanh Tran, Quoc Thong Le Gia, Ian H. Sloan, Ernst P. Stephan
Preconditioners for pseudodifferential equations on the sphere with radial basis functions. Numerische Mathematik 115 (1) (2010)
Ricardo A. Prato Torres, Ernst P. Stephan, Florian Leydecker
A FE/BE coupling for the 3D time-dependent eddy current problem. Part II: a posteriori error estimates and adaptive computations. Computing 88 (3-4) (2010)
Matthias Maischak, Andreas Krebs, Ernst P. Stephan
A quadratic programming problem arising from the p-version for obstacle problems. Electron. Notes Discret. Math. 36 (2010)
Stefan A. Funken, Ernst P. Stephan
Fast solvers with block-diagonal preconditioners for linear FEM-BEM coupling. Numer. Linear Algebra Appl. 16 (5) (2009)
Ernst P. Stephan, Matthias Maischak, Elke Ostermann
Transient Boundary Element Method and Numerical Evaluation of Retarded Potentials. ICCS (2) (2008)
Andreas Krebs, Ernst P. Stephan
-version finite element method for nonlinear elliptic variational inequalities in 2D. Numerische Mathematik 105 (3) (2007)
Thanh Tran, Ernst P. Stephan
An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lamé crack problems. J. Num. Math. 12 (4) (2004)
Carsten Carstensen, Matthias Maischak, Dirk Praetorius, Ernst P. Stephan
Residual-based a posteriori error estimate for hypersingular equation on surfaces. Numerische Mathematik 97 (3) (2004)
Norbert Heuer, Ernst P. Stephan
An Overlapping Domain Decomposition Preconditioner for High Order BEM with Anisotropic Elements. Adv. Comput. Math. 19 (1-3) (2003)
Mauricio A. Barrientos, Gabriel N. Gatica, Ernst P. Stephan
A mixed finite element method for nonlinear elasticity: two-fold saddle point approach and a-posteriori error estimate. Numerische Mathematik 91 (2) (2002)
Norbert Heuer, Mario E. Mellado, Ernst P. Stephan
hp-adaptive Two-Level Methods for Boundary Integral Equations on Curves. Computing 67 (4) (2001)
Carsten Carstensen, Matthias Maischak, Ernst P. Stephan
A posteriori error estimate and h-adaptive algorithm on surfaces for Symm's integral equation. Numerische Mathematik 90 (2) (2001)
Thanh Tran, Ernst P. Stephan
Two-Level Additive Schwarz Preconditioners for the h-p Version of the Galerkin Boundary Element Method for 2-d Problems. Computing 67 (1) (2001)
Thanh Tran, Ernst P. Stephan
Additive Schwarz algorithms for the p version of the Galerkin boundary element method. Numerische Mathematik 85 (3) (2000)
Matthias Maischak, Ernst P. Stephan, Thanh Tran
Multiplicative Schwarz Algorithms for the Galerkin Boundary Element Method. SIAM J. Numer. Anal. 38 (4) (2000)
Norbert Heuer, Matthias Maischak, Ernst P. Stephan
version of the coupled FEM/BEM with quasi-uniform meshes. Numer. Linear Algebra Appl. 6 (6) (1999)
Norbert Heuer, Matthias Maischak, Ernst P. Stephan
Exponential convergence of the hp-version for the boundary element method on open surfaces. Numerische Mathematik 83 (4) (1999)
Norbert Heuer, Ernst P. Stephan
Iterative Substructuring for Hypersingular Integral Equations in $\Bbb R^3$. SIAM J. Sci. Comput. 20 (2) (1998)
Thanh Tran, Ernst P. Stephan, Stefan Zaprianov
Wavelet-based preconditioners for boundary integral equations. Adv. Comput. Math. 9 (1-2) (1998)
Ernst P. Stephan, Thanh Tran
Domain Decomposition Algorithms for Indefinite Hypersingular Integral Equations: The h and p Versions. SIAM J. Sci. Comput. 19 (4) (1998)
Patrick Mund, Ernst P. Stephan, J. Weiße
. Computing 60 (3) (1998)
Norbert Heuer, Ernst P. Stephan, Thanh Tran
Multilevel additive Schwarz method for the h-p version of the Galerkin boundary element method. Math. Comput. 67 (222) (1998)
Benqi Guo, Ernst P. Stephan
The h-p version of the coupling of finite element and boundary element methods for transmission problems in polyhedral domains. Numerische Mathematik 80 (1) (1998)
Patrick Mund, Ernst P. Stephan
The preconditioned GMRES method for systems of coupled FEM-BEM equations. Adv. Comput. Math. 9 (1-2) (1998)
Youngmok Jeon, Ian H. Sloan, Ernst P. Stephan, Johannes Elschner
Discrete qualocation methods for logarithmic-kernel integral equations on a piecewise smooth boundary. Adv. Comput. Math. 7 (4) (1997)
Hinrich Holm, Matthias Maischak, Ernst P. Stephan
The hp-Version of the Boundary Element Method for Helmholtz Screen Problems. Computing 57 (2) (1996)
M. Hahne, Ernst P. Stephan
Schwarz Iterations for the Efficient Solution of Screen Problems with Boundary Elements. Computing 56 (1) (1996)