On the exponential convergence of the h–p version for boundary element Galerkin methods on polygons

Mathematical Methods in the Applied Sciences

Volumn 12, Issue 5, 1990, Pages 413-427

  Babuska I ^a   Guo, B Q ^b   Stephan, E P ^c  

^a UNIVERSITY OF MARYLAND   (United States)

^b Eng Mechanics Research Corporation   (United States)

^c GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84988144316     PISSN: 01704214     EISSN: 10991476     Source Type: Journal    
DOI: 10.1002/mma.1670120506     Document Type: Article

References (30)

1. p‐adaptive boundary elements
2. The p and h‐p versions of the finite element method. The state of the art
3. Error estimates for the combined h and p version of the finite element method
4. Regularity of the solution of elliptic problems with piecewise analytic data. Part 1: boundary value problems for linear elliptic equations of the second order
5. The h‐p version of the finite element method with curved boundary
6. Regularity of the solution of elliptic problems with piecewise analytic data. Part 2: the trace spaces and application to boundary value problems with non‐homogeneous conditions
7. The h‐p version of the finite element method for problems with the non‐homogeneous essential boundary conditions
8. The h‐p version of the finite element method with quasiuniform meshes
9. The treatment of nonhomogeneous Dirichlet boundary conditions by the p‐version of the finite element method
10. The p‐version of the finite element method
11. The normal derivative of the double layer potential on polygon and Galerkin approximation
12. Boundary integral equations for mixed boundary value problems in polygonal domains and Galerkin approximations
13. The approximation theory for the p‐version of the finite element method
14. Adaptive refinements in BEM
15. The h‐p versions of the finite element method in one dimension, parts 1–3
16. The h‐p version of finite element method. Part 1: the basic approximation results
17. Part 2: general results and applications
18. Constructive proofs of representation theorems in separable Hilbert space
19. 3
20. Self‐adaptive p‐hierarchical boundary elements in clastostatics
21. Adaptive boundary element methods
22. On the convergence of the p‐version of the boundary clement Galerkin method
23. Remarks to Galerkin and least squares methods with finite elements for general elliptic problems
24. On some mathematical aspects of boundary element methods for elliptic problems
25. On the integral equation method for the plane mixed boundary value problem of the Laplacian