Superconvergence and the use of the residual as an error estimator in the BEM. II: Collocation, numerical integration and error indicators

Engineering Analysis with Boundary Elements

Volumn 25, Issue 7, 2001, Pages 511-521

  Golberg, M A ^a   Bowman, H ^b  

^a University of Nevada ^*  (United States)

^b UNIVERSITY OF NEVADA   (United States)

Author keywords

Collocation; Galerkin method; Posteriori error; Residuals; Superconvergence

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; GALERKIN METHODS; INTEGRAL EQUATIONS; INTEGRATION; ITERATIVE METHODS;

COLLOCATION; ERROR ESTIMATION; SUPERCONVERGENCE;

BOUNDARY ELEMENT METHOD;

EID: 0035398256     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(01)00011-X     Document Type: Article

References (50)

1. Adaptive H and H-R methods for Symm's integral equation
2. An outline of adaptive computation: Theory, implementation, and applications
3. An error indicator and automatic adaptive meshing for electrostatic boundary element simulations
4. On weak residual error estimation
5. Numerical solution and a posteriori error estimation of exterior acoustics problems by a boundary element method at high wave numbers
6. Application of hp-adaptive BE/FE methods to elastic scattering
7. An adaptive boundary element method for the solution of potential flow problems
8. Efficiency of a posteriori BEM error estimates for first-kind integral equations on quasi-uniform meshes
9. Mesh refinement strategies for capacitance extraction based on residual errors
10. A posteriori error estimates for boundary element methods
11. Recent studies on adaptive boundary element methods
12. Natural boundary element method and adaptive boundary element method
13. Variational formulations and hp boundary element approximations for hypersingular integral equations for Helmholtz exterior boundary-value problems in two dimensions
14. Solution of elastic scattering problems in linear acoustics using h-p boundary element method
15. Mathematical foundation of adaptive boundary element methods
16. Solution of elastic scattering problems in linear acoustics using h-p boundary element methods
17. Toward a universal h-p adaptive finite element strategy, Part 1. Constrained approximation and data structure
18. Adaptive multilevel BEM for acoustic scattering
19. Superconvergence and the use of the residual as an error estimator in the BEM-I: Theoretical development
20. Superconvergence of the iterated Galerkin methods for Hammerstein equations
21. A discrete Galerkin method for first kind integral equations
22. A survey of numerical methods for solving non-linear integral equations
23. The discrete Galerkin method for integral equations
24. Improvement by iteration for conpact operator equations
25. On global superconvergence of iterative collocation solutions to linear second-kind Volterra integral equations
26. Iterated collocation methods and their discretizations for Volterra integral equations
27. Optimal convergence rates for some discrete projection methods
28. Algorithm 629: An integral equation program for Laplace's equation in three dimensions
29. On Galerkin methods
30. Galerkin's methods for boundary integral equations on polygonal domains
31. Collocation methods for second kind integral equations with noncompact operators
32. The numerical solution of Laplace's equation on a wedge
33. A posteriori error estimation and three-dimensional automatic mesh generation (1997)
34. Piecewise polynomial collocation for boundary integral equations
35. On the effect of numerical integration in the Galerkin boundary element method
36. Polynomial interpolation and hyperinterpolation over general regions
37. Integration of singular Galerkin-type boundary element integrals for 3D elasticity problems