Extraction, Higher Order Boundary Element Methods and Adaptivity

Mathematical Aspects of Boundary Element Methods

Volumn , Issue , 2024, Pages 263-274

  Schulz, H ^a   Schwab, Ch ^b   Wendland, W L ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85201856421     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1201/9780429332449-22     Document Type: Chapter

References (15)

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3. G. C. Hsiao, W. L. Wendland: Variational Methods for Boundary Integral Equations. In preparation, Springer-Verlag Berlin.
4. L. Jentsch: On the elastic potentials at corners. Asymptotic Analysis 14 (1997) 73–95.
5. V. A. Kozlov, V. G. Maz’ya, J. Rossmann: Elliptic Boundary Value Problems in Domains with Point Singularities. American Mathematical Society, Providence, RI, 1997.
6. V. G. Maz’ya, B. A. Plamenevskii: Coefficients in the asymptotics of the solution of elliptic boundary value problems. Sov. Math. 9 (1978) 750–764.
7. V. G. Maz’ya, S. A. Nazarov, B. A. Plamenevskij: Asymptotische Theorie ellipti-scher Randwertaufgaben in singulär gestörten Gebieten, Teil I und II. Akademie Verlag, Berlin, 1991.
8. S. Prössdorf and B. Silbermann: Numerical Analysis for Integral and Related Operator Equations. Birkhäuser-Verlag, Basel, 1991.
9. A.-M. Sändig, W. L. Wendland: Asymptotic expansions of elastic fields in do-mains with boundary and structural singularities. In: Boundary Element Topics (W.L. Wendland ed.), Springer-Verlag Berlin 1997, 419-444
10. H. Schulz, Ch. Schwab, W.L. Wendland: The computation of potentials near and on the boundary by an extraction technique for boundary element methods. Comput. Methods Appl. Mech. Engrg. 157 (1998) 225-238
11. H. Schulz, Ch. Schwab, W.L. Wendland: On the computation of derivatives up to the boundary and recovery techniques in BEM. Proceedings of the IUTAM Conference 1997 “Discretization Methods in Structural Mechanics II”, Kluwer Academic Publishers, to appear.
12. Ch. Schwab, W.L. Wendland: On the extraction technique in boundary integral equations. Math. Comp. 68 (1999) 91-122.
13. L. Schwartz: Thèorie des Distributions. Hermann, Paris 1966 (3rd. ed.).
14. E. P. Stephan, W. L. Wendland: An augmented Galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems. Appl. Anal. 18 (1985), 183-219.
15. W. L. Wendland: On boundary integral equations and applications. In: Tri-comi’s Ideas and Contemporary Applied Mathematics. Accad. Naz. dei Lincei, Rom 1998.