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A Truly Boundary-Only Meshfree Method Applied to Kirchhoff Plate Bending Problems 被引量:1

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摘要 The boundary particle method(BPM)is a truly boundary-only collocation scheme,whose basis function is the high-order nonsingular general solution or singular fundamental solution,based on the recursive composite multiple reciprocity method(RC-MRM).The RC-MRM employs the high-order composite differential operator to solve a much wider variety of inhomogeneous problems with boundary-only collocation nodes while significantly reducing computational cost via a recursive algorithm.In this study,we simulate the Kirchhoff plate bending problems by the BPM based on the RC-MRM.Numerical results show that this approach produces accurate solutions of plates subjected to various loadings with boundary-only discretization.
出处 《Advances in Applied Mathematics and Mechanics》 SCIE 2009年第3期341-352,共12页 应用数学与力学进展(英文)
基金 supported by a research project funded by the National Natural Science Foundation of China(Project No.10672051).
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