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Plane elasticity problems by barycentric rational interpolation collocation method and a regular domain method
Author(s) -
Zhuang Meiling,
Miao Changqing,
Ji Siyuan
Publication year - 2020
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6431
Subject(s) - barycentric coordinate system , mathematics , mathematical analysis , elasticity (physics) , collocation method , algebraic equation , trilinear interpolation , interpolation (computer graphics) , boundary value problem , discretization , geometry , linear interpolation , polynomial , nonlinear system , ordinary differential equation , classical mechanics , differential equation , physics , motion (physics) , quantum mechanics , thermodynamics
Summary Barycentric rational interpolation collocation method (BRICM) for solving plane elasticity problems with high accuracy is presented. The plane elasticity problems on a circular or rectangular domain can be solved directly by BRICM. Embedded the irregular domain into a regular (circular or rectangular) domain, the governing equations of plane elasticity on regular domain are discretized by the differentiation matrices based on barycentric rational interpolation to form a system of algebraic equations. Discrete boundary conditions are obtained using barycentric rational interpolation. The irregular boundary conditions are imposed by the additional method to form an over‐constraint linear system of algebraic equations. Numerical experiments are presented to illustrate the efficiency and high computing precision of proposed method.