Numerical integration in 3D Galerkin BEM solution of HBIEs

Computational Mechanics

Volumn 28, Issue 3-4 SPEC., 2002, Pages 233-249

  Aimi, A ^a   Diligenti, M ^a  

^a UNIVERSITY OF PARMA   (Italy)

Author keywords

Finite part integrals; Galerkin BEM; Hypersingular BIE

Indexed keywords

APPROXIMATION THEORY; BOUNDARY ELEMENT METHOD; GALERKIN METHODS; INTEGRATION; NUMERICAL ANALYSIS; THREE DIMENSIONAL;

FINITE PART INTEGRALS; HYPERSINGULAR BOUNDARY INTEGRAL EQUATION METHOD; POLYGONAL DOMAINS;

INTEGRAL EQUATIONS;

EID: 0036542709     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-001-0284-9     Document Type: Article

References (31)

1. New numerical integration schemes for applications of Galerkin BEM to 2D problems
2. Numerical integration schemes for the BEM solution of hypersingular integral equations
3. Integral evaluation of (hyper)singular Galerkin type boundary element integrals for 3D problems
4. Integration of singular Galerkin-type boundary element integrals for 3D elasticity problems
5. Efficient analytic integration of symmetric Galerkin boundary integrals over curved elements: Thermal conduction formulation
6. Analytical integrations for two-dimensional elastic analysis by the symmetric Galerkin boundary element method
7. Boundary integral operators on Lipschitz domains: Elementary results
8. Integral evaluation in the BEM solution of (hyper) singular integral equations. 2D problems on polygonal domains
9. Product-integration rules and their occurence
10. A boundary element Galerkin method for a hypersingular integral equation on open surfaces
11. The hp-version of the finite element method. Part I: The basic approximation results
12. The hp-version of the finite element method for solving boundary value problems in polyhedral domains
13. On the efficient use of the Galerkin method to solve Fredholm integral equations
14. A p-extension of the symmetric boundary element method
15. Numerical evaluation of singular and finite-part integrals on curved surfaces using symbolic manipulation
16. Über einseitige Sprungrelationen und hypersinguläre Operatoren in der Methode der Randelemente
17. New error estimates in the numerical approximation of some singular integrals
18. The numerical evaluation of 2-D Cauchy principal value integral arising in boundary integral equation methods
19. Numerical integration of functions with boundary singularities
20. On the h-, p- and h-p version of the boundary element method-numerical results
21. Transformation of hypersingular integrals and black-box cubature
22. A Galerkin symmetric boundary element method in elasticity: Formulation and implementation
23. Analysis of general quadrature methods for integral equations of the second kind
24. 3
25. The hp boundary element method for solving 2- and 3-dimensional problems
26. On some mathematical aspects of boundary element methods for elliptic problems