A p-adaptive algorithm for the BEM with the hypersingular operator on the plane screen

International Journal for Numerical Methods in Engineering

Volumn 53, Issue 1, 2002, Pages 85-104

  Heuer, Norbert ^a   Mellado, Mario E ^b   Stephan, Ernst P ^c  

^a UNIVERSITY OF CONCEPCIÓN   (Chile)

^b UNIVERSIDAD DEL BÍO BÍO   (Chile)

^c LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

A posteriori error estimate; Boundary element method; Two level decomposition

Indexed keywords

ADAPTIVE ALGORITHMS; ERROR ANALYSIS; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; MATHEMATICAL OPERATORS; POLYNOMIALS;

HYPERSINGULAR OPERATORS;

GALERKIN METHODS;

ALGORITHM; BOUNDARY ELEMENT METHOD;

EID: 0037049920     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.393     Document Type: Article

References (15)

1. 3
2. Decomposition in edge and corner singularities for the solution of the Dirichlet problem of the Laplacian in a polyhedron
3. 3 and boundary element methods on graded meshes
4. Exponential convergence of the hp-version for the boundary element method on open surfaces
5. The h-p boundary element method for solving 2- and 3-dimensional problems
6. The optimal p-version approximation of singularities on polyhedra in the boundary element method
7. A posteriori error estimates based on hierarchical bases
8. An adaptive two-level method for the coupling of nonlinear FEM-BEM equations
9. 3
10. An hp-adaptive refinement strategy for hypersingular operators on surfaces
11. The problem of selecting the shape functions for a p-type finite element
12. The approximate Dirichlet domain decomposition method. Part I: An algebraic approach
13. On block diagonal and Schur complement preconditioning
14. 3-the p-version
15. On the h-p version of the boundary element method for Symm's integral equation on polygons