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Applicable Analysis
An International Journal
Volume 16, 1983 - Issue 3
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Original Articles

The normal dervative of the double layer potential on polygons and galerkin approximation

M. Costabel Technische Hochschule Darmstadt, Federal Republic of Germany
&
M. Stephan Technische Hochschule Darmstadt, Federal Republic of Germany
Pages 205-228 | Published online: 10 May 2007

Citations (24)

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Read on this site (2)

T. von Petersdorff & E.P. Stephan. (2014) Decomposition in regular and singular parts (in domains with corners) and stability under perturbation of the geometry. Applicable Analysis 93:10, pages 2158-2173.
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Carsten Carstensen, Stefan A. funken & Ernst P. Stephan. (1996) A posterior error estimates for hp—boundary element methods. Applicable Analysis 61:3-4, pages 233-253.
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Articles from other publishers (22)

Joachim Gwinner & Ernst Peter StephanJoachim Gwinner & Ernst Peter Stephan. 2018. Advanced Boundary Element Methods. Advanced Boundary Element Methods 269 294 .
Joachim Gwinner & Ernst Peter StephanJoachim Gwinner & Ernst Peter Stephan. 2018. Advanced Boundary Element Methods. Advanced Boundary Element Methods 9 41 .
Thomas Hartmann & Ernst P. Stephan. 2018. Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan. Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan 545 566 .
Oscar P. Bruno, Jeffrey S. Ovall & Catalin Turc. (2009) A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains. Computing 84:3-4, pages 149-181.
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Carsten Carstensen & Dirk Praetorius. (2007) Averaging Techniques for the A Posteriori BEM Error Control for a Hypersingular Integral Equation in Two Dimensions. SIAM Journal on Scientific Computing 29:2, pages 782-810.
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Benqi Guo & Norbert Heuer. (2006) The optimal convergence of the h–p version of the boundary element method with quasiuniform meshes for elliptic problems on polygonal domains. Advances in Computational Mathematics 24:1-4, pages 353-374.
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Benqi Guo & Nobert Heuer. (2004) The optimal rate of convergence of the p-version of the boundary element method in two dimensions. Numerische Mathematik 98:3, pages 499-538.
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Norbert Heuer, Ernst Stephan & Thanh Tran. (1998) Multilevel additive Schwarz method for the ℎ-𝑝 version of the Galerkin boundary element method. Mathematics of Computation 67:222, pages 501-518.
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Carsten Carstensen & Ernst P. Stephan. (1996) Adaptive Boundary Element Mevthods for Some First Kind Integral Equations. SIAM Journal on Numerical Analysis 33:6, pages 2166-2183.
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Thanh Tran. (1996) Local Error Estimates for the Galerkin Method Applied to Strongly Elliptic Integral Equations on Open Curves. SIAM Journal on Numerical Analysis 33:4, pages 1484-1493.
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Kathrin Bühring. (1995) A Quadrature Method for the Hypersingular Integral Equation on an Interval. Journal of Integral Equations and Applications 7:3.
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Carsten Carstensen & Ernst P. Stephan. (1995) A posteriori error estimates for boundary element methods. Mathematics of Computation 64:210, pages 483-500.
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C. Carstensen, D. Estep & P. Stephan. (1995) h-adaptive boundary element schemes. Computational Mechanics 15:4, pages 372-383.
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. (1997) End-point behaviour of solutions to hypersingular integral equations. Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences 432:1885, pages 301-320.
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W. L. Wendland & E. P. Stephan. (2014) A hypersingular boundary integral method for two-dimensional screen and crack problems. Archive for Rational Mechanics and Analysis 112:4, pages 363-390.
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I. Babuška, B.Q. Guo & E.P. Stephan. (1990) The h-p version of the boundary element method with geometric mesh on polygonal domains. Computer Methods in Applied Mechanics and Engineering 80:1-3, pages 319-325.
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I. Babuška, B. Q. Guo & E. P. Stephan. (2005) On the exponential convergence of the h – p version for boundary element Galerkin methods on polygons . Mathematical Methods in the Applied Sciences 12:5, pages 413-427.
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F. K. Hebeker. 1989. Robust Multi-Grid Methods. Robust Multi-Grid Methods 128 138 .
Rolf Rannacher & Wolfgang L. Wendland. (2009) Pointwise convergence of some boundary element methods. Part II. ESAIM: Mathematical Modelling and Numerical Analysis 22:2, pages 343-362.
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E. P. Stephan & M. Suri. 1988. Computational Mechanics ’88. Computational Mechanics ’88 128 132 .
F. K. Hebeker. (1987) On the numerical treatment of viscous flows against bodies with corners and edges by boundary element and multigrid methods. Numerische Mathematik 52:1, pages 81-99.
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Martin Costabel & Ernst Stephan. (1985) A direct boundary integral equation method for transmission problems. Journal of Mathematical Analysis and Applications 106:2, pages 367-413.
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