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Numerical Integration for Interactive Terms in Mesh Superposition Method by Auto-Mesh Generation
2011
Transactions of the Japan Society of Mechanical Engineers Series A
The interactive terms in the mesh superposition method are calculated approximately because the integrand has a discontinuity along the mesh lines in a superimposed global mesh. In this paper, the accurate numerical integration technique for a discontinuous integrand by the Delaunay triangulation is proposed. Integral ranges including discontinuous integrands are divided into triangles only with a continuum integrand. The exact solution is sum of the integral values calculated in all triangles.
doi:10.1299/kikaia.77.600
fatcat:npvfu2iyunexbaoxwqvz6bvi7u