Parallel adaptive multigrid methods in plane linear elasticity problems

1997 ◽  
Vol 4 (3) ◽  
pp. 153-176 ◽  
Author(s):  
Peter Bastian ◽  
Stefan Lang ◽  
Knut Eckstein
Keyword(s):  
Linear Elasticity ◽  
Multigrid Methods ◽  
Elasticity Problems ◽  
Plane Linear Elasticity

The Boundary Contour Method for Three-Dimensional Linear Elasticity

1996 ◽  
Vol 63 (2) ◽  
pp. 278-286 ◽  
Author(s):  
A. Nagarajan ◽  
S. Mukherjee ◽  
E. Lutz
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Linear Elasticity ◽  
Three Dimensional ◽  
Contour Method ◽  
Boundary Contour ◽  
Boundary Contour Method ◽  
Novel Variant ◽  
Elasticity Problems ◽  
Element Method

This paper presents a novel variant of the boundary element method, here called the boundary contour method, applied to three-dimensional problems of linear elasticity. In this work, the surface integrals on boundary elements of the usual boundary element method are transformed, through an application of Stokes’ theorem, into line integrals on the bounding contours of these elements. Thus, in this formulation, only line integrals have to be numerically evaluated for three-dimensional elasticity problems—even for curved surface elements of arbitrary shape. Numerical results are presented for some three-dimensional problems, and these are compared against analytical solutions.

A fictitious domain method for linear elasticity problems

2001 ◽  
pp. 346-350
Author(s):  
Janne Martikainen ◽  
Raino A.E. Mäkinen ◽  
Tuomo Rossi ◽  
Jari Toivanen
Keyword(s):  
Linear Elasticity ◽  
Fictitious Domain ◽  
Fictitious Domain Method ◽  
Domain Method ◽  
Elasticity Problems
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