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A NUMERICAL BOUNDARY EIGENVALUE PROBLEM FOR ELASTIC CRACKS IN FREE AND HALF SPACE

A NUMERICAL BOUNDARY EIGENVALUE PROBLEM FOR ELASTIC CRACKS IN FREE AND HALF SPACE
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摘要 We present in this paper a numerical method for hypersingular boundary integral equations. This method was developed for planar crack problems： additional edge singularities are known to develop in that case. This paper includes a rigorous error analysis proving the convergence of our numerical scheme. Three types of examples are covered： the Laplace equation in free space, the linear elasticity equation in free space, and in half space. We present in this paper a numerical method for hypersingular boundary integral equations. This method was developed for planar crack problems： additional edge singularities are known to develop in that case. This paper includes a rigorous error analysis proving the convergence of our numerical scheme. Three types of examples are covered： the Laplace equation in free space, the linear elasticity equation in free space, and in half space.
作者 Darko Volkov
机构地区 Department of Mathematical Sciences
出处 《Journal of Computational Mathematics》 SCIE CSCD 2011年第5期543-573,共31页 计算数学（英文）
关键词 Hypersingular boundary integral equations Numerical error analysis Eigen-value problems Faults in free space and half space Somigliana tensor of the second kindin free space and in half space. Hypersingular boundary integral equations, Numerical error analysis, Eigen-value problems, Faults in free space and half space, Somigliana tensor of the second kindin free space and in half space.
分类号 O343 [理学—固体力学] O346.1 [理学—固体力学]
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参考文献22

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Journal of Computational Mathematics
2011年 第5期

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