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ORCIDErnst P. Stephan
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- affiliation: University of Hanover, Germany
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2020 – today
- 2024
[j50]Lothar Banz, Ernst P. Stephan:
hp-FEM for the α-Mosolov problem: a priori and a posteriori error estimates. Numerische Mathematik 156(5): 1679-1718 (2024)- [i6]Thomas Hartmann, Ernst P. Stephan:
Local error estimates and post processing for the Galerkin boundary element method on polygons. CoRR abs/2407.06158 (2024) - 2023
- [j49]Heiko Gimperlein
, Ernst P. Stephan:
Coupling of Finite and Boundary Elements for Singularly Nonlinear Transmission and Contact Problems. Comput. Methods Appl. Math. 23(2): 389-404 (2023) - [j48]Markus Faustmann, Ernst P. Stephan, David Wörgötter:
Two-Level Error Estimation for the Integral Fractional Laplacian. Comput. Methods Appl. Math. 23(3): 603-622 (2023) - [j47]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): 35-101 (2023) - [i5]Alessandra Aimi, Giulia Di Credico, Heiko Gimperlein, Ernst P. Stephan:
Higher-order time domain boundary elements for elastodynamics - graded meshes and hp versions. CoRR abs/2305.00772 (2023) - 2022
- [j46]Lothar Banz, Orlando Hernández, Ernst P. Stephan:
A priori and a posteriori error estimates for hp-FEM for a Bingham type variational inequality of the second kind. Comput. Math. Appl. 126: 14-30 (2022) - [j45]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): 839-859 (2022) - [i4]Markus Faustmann, Ernst Peter Stephan, David Wörgötter:
Two-level error estimation for the integral fractional Laplacian. CoRR abs/2209.13366 (2022) - 2020
- [j44]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): 239-280 (2020) - [i3]Heiko Gimperlein, Ceyhun Özdemir, David Stark, Ernst P. Stephan:
A residual a posteriori error estimate for the time-domain boundary element method. CoRR abs/2008.04297 (2020) - [i2]Heiko Gimperlein, Ceyhun Özdemir, Ernst P. Stephan:
A time-dependent FEM-BEM coupling method for fluid-structure interaction in 3d. CoRR abs/2008.04299 (2020)
2010 – 2019
- 2019
- [j43]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): 169-188 (2019) - [i1]Dirk Praetorius, Michele Ruggeri, Ernst P. Stephan:
The saturation assumption yields optimal convergence of two-level adaptive BEM. CoRR abs/1907.06612 (2019) - 2018
- [j42]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): 1639-1660 (2018) - [j41]Heiko Gimperlein, Fabian Meyer, Ceyhun Özdemir, David Stark, Ernst P. Stephan:
Boundary elements with mesh refinements for the wave equation. Numerische Mathematik 139(4): 867-912 (2018) - [j40]Ernst P. Stephan, Matthias T. Teltscher:
Collocation with trigonometric polynomials for integral equations to the mixed boundary value problem. Numerische Mathematik 140(1): 153-190 (2018) - 2017
- [j39]Lothar Banz, Heiko Gimperlein, Abderrahman Issaoui, Ernst P. Stephan:
Stabilized mixed hp-BEM for frictional contact problems in linear elasticity. Numerische Mathematik 135(1): 217-263 (2017) - 2016
- [j38]Michael Andres, Matthias Maischak, Ernst P. Stephan:
Dual-Dual Formulation for a Contact Problem with Friction. Comput. Methods Appl. Math. 16(1): 1-16 (2016) - [j37]Lothar Banz, Ernst P. Stephan:
Comparison of mixed hp-BEM (stabilized and non-stabilized) for frictional contact problems. J. Comput. Appl. Math. 295: 92-102 (2016) - 2015
- [j36]Lothar Banz, Ernst P. Stephan:
On hp-adaptive BEM for frictional contact problems in linear elasticity. Comput. Math. Appl. 69(7): 559-581 (2015) - 2014
- [j35]Lothar Banz, Ernst P. Stephan:
hp-adaptive IPDG/TDG-FEM for parabolic obstacle problems. Comput. Math. Appl. 67(4): 712-731 (2014) - [j34]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): 485-508 (2014) - [j33]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: 200-209 (2014) - [j32]Adrian Costea, Heiko Gimperlein, Ernst P. Stephan:
A Nash-Hörmander iteration and boundary elements for the Molodensky problem. Numerische Mathematik 127(1): 1-34 (2014) - 2011
- [j31]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): 83-103 (2011) - [j30]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): 307-332 (2011) - 2010
- [j29]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): 131-154 (2010) - [j28]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): 155-172 (2010) - [j27]Matthias Maischak, Andreas Krebs, Ernst P. Stephan:
A quadratic programming problem arising from the p-version for obstacle problems. Electron. Notes Discret. Math. 36: 923-930 (2010) - [j26]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): 141-163 (2010)
2000 – 2009
- 2009
- [j25]Stefan A. Funken, Ernst P. Stephan:
Fast solvers with block-diagonal preconditioners for linear FEM-BEM coupling. Numer. Linear Algebra Appl. 16(5): 365-395 (2009) - 2008
- [c1]Ernst P. Stephan, Matthias Maischak, Elke Ostermann:
Transient Boundary Element Method and Numerical Evaluation of Retarded Potentials. ICCS (2) 2008: 321-330 - 2007
- [j24]Andreas Krebs, Ernst P. Stephan:
A p-version finite element method for nonlinear elliptic variational inequalities in 2D. Numerische Mathematik 105(3): 457-480 (2007) - 2004
- [j23]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): 311-330 (2004) - [j22]Carsten Carstensen, Matthias Maischak, Dirk Praetorius, Ernst P. Stephan:
Residual-based a posteriori error estimate for hypersingular equation on surfaces. Numerische Mathematik 97(3): 397-425 (2004) - 2003
- [j21]Norbert Heuer, Ernst P. Stephan:
An Overlapping Domain Decomposition Preconditioner for High Order BEM with Anisotropic Elements. Adv. Comput. Math. 19(1-3): 211-230 (2003) - 2002
- [j20]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): 197-222 (2002) - 2001
- [j19]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): 57-82 (2001) - [j18]Norbert Heuer, Mario E. Mellado, Ernst P. Stephan:
hp-adaptive Two-Level Methods for Boundary Integral Equations on Curves. Computing 67(4): 305-334 (2001) - [j17]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): 197-213 (2001) - 2000
- [j16]Thanh Tran, Ernst P. Stephan:
Additive Schwarz algorithms for the p version of the Galerkin boundary element method. Numerische Mathematik 85(3): 433-468 (2000) - [j15]Matthias Maischak, Ernst P. Stephan, Thanh Tran:
Multiplicative Schwarz Algorithms for the Galerkin Boundary Element Method. SIAM J. Numer. Anal. 38(4): 1243-1268 (2000)
1990 – 1999
- 1999
- [j14]Norbert Heuer, Matthias Maischak, Ernst P. Stephan:
Preconditioned minimum residual iteration for the h-p version of the coupled FEM/BEM with quasi-uniform meshes. Numer. Linear Algebra Appl. 6(6): 435-456 (1999) - [j13]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): 641-666 (1999) - 1998
- [j12]Patrick Mund, Ernst P. Stephan:
The preconditioned GMRES method for systems of coupled FEM-BEM equations. Adv. Comput. Math. 9(1-2): 131-144 (1998) - [j11]Thanh Tran, Ernst P. Stephan, Stefan Zaprianov:
Wavelet-based preconditioners for boundary integral equations. Adv. Comput. Math. 9(1-2): 233-249 (1998) - [j10]Patrick Mund, Ernst P. Stephan, J. Weiße:
Two-Level Methods for the Single Layer Potential in IR3. Computing 60(3): 243-266 (1998) - [j9]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): 501-518 (1998) - [j8]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): 87-107 (1998) - [j7]Ernst P. Stephan, Thanh Tran:
Domain Decomposition Algorithms for Indefinite Hypersingular Integral Equations: The h and p Versions. SIAM J. Sci. Comput. 19(4): 1139-1153 (1998) - [j6]Norbert Heuer, Ernst P. Stephan:
Iterative Substructuring for Hypersingular Integral Equations in $\Bbb R^3$. SIAM J. Sci. Comput. 20(2): 739-749 (1998) - 1997
- [j5]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): 547-571 (1997) - 1996
- [j4]M. Hahne, Ernst P. Stephan:
Schwarz Iterations for the Efficient Solution of Screen Problems with Boundary Elements. Computing 56(1): 61-86 (1996) - [j3]Hinrich Holm, Matthias Maischak, Ernst P. Stephan:
The hp-Version of the Boundary Element Method for Helmholtz Screen Problems. Computing 57(2): 105-134 (1996)
1980 – 1989
- 1984
- [j2]Ulrich Lamp, Klaus Thomas Schleicher, Ernst Peter Stephan, Wolfgang L. Wendland:
Galerkin collocation for an improved boundary element method for a plane mixed boundary value problem. Computing 33(3-4): 269-296 (1984)
1970 – 1979
- 1978
- [j1]Ernst Peter Stephan, Volker Weißgerber:
Zur Approximation von Schalen mit hybriden Elementen. Computing 20(1): 75-94 (1978)
Coauthor Index
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