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Indexed by:期刊论文

Date of Publication:2022-06-28

Journal:计算力学学报

Volume:16

Issue:3

Page Number:533-536

ISSN No.:1007-4708

Abstract:Combining the point interpolation method with trigonometric functions
   which are used as base functions,a shape function is structured in the
   local support domain.The shape function has many properties,such as
   Kronecker functionality,unit decomposition and reproducibility as well
   as compact properties.Discreting differential equations by the
   allocation method,a sparse band coefficient matrix is obtained.The GMERS
   method is used to solve algebraic equations.Two kinds of Helmholtz
   problem: a boundary layer problem and a wave propagation problem are
   solved.Numerical examples can be found,and the results are close to the
   exact solutions.Furthermore,high precision and good convergence could be
   obtained as the nodes increased.

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