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Applicable Analysis
An International Journal
Volume 61, 1996 - Issue 3-4
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Original Articles

A posterior error estimates for hp—boundary element methods

Carsten Carstensen Mathematisches Seminar II, Christian-Albrechts-Universitat Kiel, Kiel, 24098, GermonyView further author information
,
Stefan A. funken Mathematisches Seminar II, Christian-Albrechts-Universitat Kiel, Kiel, 24098, GermonyView further author information
&
Ernst P. Stephan Mathematisches Seminar II, Christian-Albrechts-Universitat Kiel, Kiel, 24098, Germony
Pages 233-253 | Received 01 Mar 1996, Published online: 02 May 2007

Citations (15)

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Read on this site (3)

C. Erath, S. Funken, P. Goldenits & D. Praetorius. (2013) Simple error estimators for the Galerkin BEM for some hypersingular integral equation in 2D. Applicable Analysis 92:6, pages 1194-1216.
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Gabriel N. Gatica & Salim Meddahi. (1999) An A-Posteriori Error estimate for the coupling of BEM and mixed-FEM. Numerical Functional Analysis and Optimization 20:5-6, pages 449-472.
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Stefan A. Funken & Ernst P. Stephan. (1997) The BPX preconditioner for the single layer potential operator. Applicable Analysis 67:3-4, pages 327-340.
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Articles from other publishers (12)

Ricardo H. Nochetto & Benjamin Stamm. 2019. Contributions to Partial Differential Equations and Applications. Contributions to Partial Differential Equations and Applications 371 394 .
Joachim Gwinner & Ernst Peter StephanJoachim Gwinner & Ernst Peter Stephan. 2018. Advanced Boundary Element Methods. Advanced Boundary Element Methods 333 388 .
Christoph Erath. (2014) A nonconforming a posteriori estimator for the coupling of cell-centered finite volume and boundary element methods. Numerische Mathematik 131:3, pages 425-451.
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M. Karkulik & J.M. Melenk. (2015) Local high-order regularization and applications to hp-methods. Computers & Mathematics with Applications 70:7, pages 1606-1639.
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Michael Karkulik, Günther Of & Dirk Praetorius. (2013) Convergence of adaptive 3D BEM for weakly singular integral equations based on isotropic mesh‐refinement. Numerical Methods for Partial Differential Equations 29:6, pages 2081-2106.
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Christoph Erath. (2013) A Posteriori Error Estimates and Adaptive Mesh Refinement for the Coupling of the Finite Volume Method and the Boundary Element Method. SIAM Journal on Numerical Analysis 51:3, pages 1777-1804.
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Christoph Erath. (2012) Coupling of the Finite Volume Element Method and the Boundary Element Method: An a Priori Convergence Result. SIAM Journal on Numerical Analysis 50:2, pages 574-594.
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Ernst P. Stephan. 2011. Modelling, Simulation and Software Concepts for Scientific-Technological Problems. Modelling, Simulation and Software Concepts for Scientific-Technological Problems 181 199 .
C. Erath, S. Ferraz-Leite, S. Funken & D. Praetorius. (2009) Energy norm based a posteriori error estimation for boundary element methods in two dimensions. Applied Numerical Mathematics 59:11, pages 2713-2734.
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Carsten Carstensen & Dirk Praetorius. (2006) Averaging Techniques for the Effective Numerical Solution of Symm's Integral Equation of the First Kind. SIAM Journal on Scientific Computing 27:4, pages 1226-1260.
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Carsten Carstensen & Dirk Praetorius. (2003) A Posteriori Error Control in Adaptive Qualocation Boundary Element Analysis for a Logarithmic-Kernel Integral Equation of the First Kind. SIAM Journal on Scientific Computing 25:1, pages 259-283.
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C. Carstensen & B. Faermann. (2001) Mathematical foundation of a posteriori error estimates and adaptive mesh-refining algorithms for boundary integral equations of the first kind. Engineering Analysis with Boundary Elements 25:7, pages 497-509.
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