The meshless hypersingular boundary node method for three-dimensional potential theory and linear elasticity problems

Engineering Analysis with Boundary Elements

Volumn 25, Issue 8, 2001, Pages 639-653

  Chati, Mandar K ^a   Mukherjee, Subrata ^a   Paulino, Glaucio H ^b  

^a Department of Obstetrics Gynecology   (United States)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

Boundary element method; Boundary mode method; Hypersingular integrals; Linear elasticity; Potential theory

Indexed keywords

ELASTICITY; INTEGRAL EQUATIONS; LEAST SQUARES APPROXIMATIONS; POTENTIAL ENERGY; PROBLEM SOLVING;

HYPERSINGULAR BOUNDARY NODE METHODS (HBNM); LINEAR ELASTICITY; THREE-DIMENSIONAL POTENTIAL THEORY;

BOUNDARY ELEMENT METHOD;

EID: 0035452687     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(01)00040-6     Document Type: Article

References (68)

1. Mesh generation and refinement for FEM and BEM - A bibliography (1990-1993)
2. Generalizing the finite element method: Diffuse approximation and diffuse elements
3. Element-free Galerkin methods
4. Reproducing kernel particle methods
5. H-p clouds - An h-p meshless method
6. An h-p adaptive method using clouds
7. A new cloud-based hp finite element method
8. New meshless local Petrov-Galerkin (MPLG) approach in computational mechanics
9. A new meshless local Petrov-Galerkin (MPLG) approach to nonlinear problems in computer modeling and simulation
10. A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
11. The natural element method
12. The design and analysis of the Generalized Finite Element Method
13. A finite element method for crack growth without remeshing
14. A three-dimensional element-free Galerkin elastic and elastoplastic formulation
15. An element-free Galerkin method for three-dimensional fracture mechanics
16. Crack propagation by element-free Galerkin methods
17. An element-free Galerkin formulation for stable crack growth in elastic solids
18. The element free Galerkin method for dynamic propagation of arbitrary 3-D cracks
19. Element-free Galerkin methods for static and dynamic fracture
20. Dynamic fracture using element-free Galerkin methods
21. Element-free Galerkin study of steady quasi-static crack growth in plane strain tension in elastic-plastic materials
22. An element-free Galerkin analysis of steady dynamic growth of a mode I crack in elastic-plastic materials
23. Analysis of thin plates by the element-free Galerkin method
24. Analysis of thin shells by the element-free Galerkin method
25. Shape sensitivity analysis and shape optimization planar elasticity using the element-free Galerkin method
26. Meshless methods: An overview and recent developments
27. Generalized multiple scale reproducing kernel particle methods
28. Overview and applications of the reproducing kernel particle methods
29. Hypersingular boundary integral equations: Their occurrence, interpretation, regularization and computation
30. Regularization techniques applied to boundary element methods
31. Review of dual boundary element methods with emphasis on hypersingular integrals and divergent series
32. Hypersingular formulation for boundary stress evaluation
33. Direct evaluation of boundary stresses in the 3-D BEM of elastostatics
34. Boundary stress calculation - A comparison study
35. Evaluation of gradients on the boundary using fully regularized hypersingular boundary integral equations
36. Hypersingular boundary integral equations: Some applications in acoustics and elastic wave scattering
37. Hypersingular integrals in boundary element fracture analysis
38. Use of simple solutions for boundary integral methods in elasticity and fracture analysis
39. Crack tip interpolation, revisited
40. Regularized direct and indirect symmetric variational BIE formulations for three-dimensional elasticity
41. Symmetric Galerkin fracture analysis
42. Symmetric Galerkin boundary integral fracture analysis for plane orthotropic elasticity
43. Symmetric Galerkin boundary integral formulation for interface and multizone problems
44. The hypersingular boundary contour method for two-dimensional linear elasticity
45. The hypersingular boundary contour method for three-dimensional linear elasticity
46. Hypersingular residuals - A new approach for error estimation in the boundary element method
47. Analysis of hypersingular residual error estimates in boundary element methods for potential problems
48. The meshless standard and hypersingular boundary node methods - Applications to error estimation and adaptivity in three-dimensional problems
49. Error analysis and adaptivity in three-dimensional linear elasticity by the usual and hypersingular boundary contour methods
50. Hypersingular integrals: How smooth must the density be?
51. Non-singular Somigliana stress identities in elasticity
52. Smoothness-relaxation strategies for singular and hypersingular integral equations
53. The boundary node method for potential problems
54. Two dimensional linear elasticity by the boundary node method
55. The boundary node method for three-dimensional problems in potential theory
56. The boundary node method for three-dimensional linear elasticity
57. An integral equation approach to boundary value problems of classical elastostatics
58. A mapping method for numerical evaluation of two-dimensional integrals with 1/r singularity
59. Evaluation of nearly singular integrals in boundary element, contour and node methods for three-dimensional linear elasticity
60. Elimination of rigid body modes from discretized boundary integral equations