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Efficient solution of 3-D geomechanical problems by indirect BEM using iterative methods. (English) Zbl 0937.74073

We study some geomechanical problems of underground constructions in mining and civil engineering. The problems are solved using the indirect boundary element method. Several approaches are used to enhance the performance of the method. One of them deals with application of efficient equation solvers. It is shown that Krylov-type methods like CGS and GMRES with simple Jacobi preconditioning appear to be efficient and robust. In addition, adaptive integration on the boundary elements, together with diagonal dominance of equations, makes it possible to accelerate convergence of the iterative procedure.

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
74L10 Soil and rock mechanics

Software:

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References:

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