Hybrid Galerkin Boundary Elements on Degenerate Meshes

Mathematical Aspects of Boundary Element Methods

Volumn , Issue , 2024, Pages 140-151

  Graham, I G ^a   Hackbusch, W ^b   Sauter, S A ^b  

^a UNIVERSITY OF BATH   (United Kingdom)

^b UNIVERSITY OF KIEL   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85201889420     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1201/9780429332449-12     Document Type: Chapter

References (12)

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2. S. Erichsen, S. A. Sauter: Efficient automatic quadrature in 3D Galerkin BEM. To appear in Comp. Meth. Appl. Mech. Eng., 1998.
3. V. J. Ervin, E. P. Stephan, S. Abou El-Seoud: An improved boundary element method for the charge density of a thin electrified plate in R3. Math. Meth. Appl. Sets. 13 (1990), 291–303
4. I. G. Graham, W. Hackbusch, S. A. Sauter: Discrete boundary element methods on general meshes in 3D. Bath Mathematics Preprint 97/19, 1997.
5. I. G. Graham, W. Hackbusch, S. A. Sauter: Hybrid boundary elements: Theory and implementation. Preprint Number 98-6, University of Kiel, Feb. 1998.
6. W. Hackbusch, S. A. Sauter: On the efficient use of the Galerkin method to solve Fredholm integral equations. Applications of Mathematics, 38 (1993), 301–322
7. T. von Petersdorff: Elasticity Problems in Polyhedra-Singularities and Approximation with Boundary Elements, Ph.D. Dissertation, T.H. Darmstadt, 1989.
8. S. A. Sauter: Cubature Techniques for 3D Galerkin BEM. In: W. Hackbusch and G. Wittum, Eds., BEM: Implementation and Analysis of Advanced Algorithms, Vieweg Verlag, 1996.
9. S. A. Sauter, A. Krapp: On the effect of numerical integration in the Galerkin boundary element method. Numer. Math. 74 (1997), 337–359
10. S. A. Sauter, C. Schwab: Quadrature for hp— Galerkin BEM in 3D, Numer. Math. 78 (1997), 211-258.
11. I. H. Sloan: Semidiscrete Galerkin method for piecewise-smooth curves and sur-faces. Submitted for publication.
12. W. L. Wendland: On Galerkin collocation methods for integral equations of elliptic boundary value problems. In: Numerical Treatment of Integral Equations, J. Albrecht and L. Collatz, Eds., ISNM 53, Birkhauser-Verlag, Basel, 1980.