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Advanced development of time‐domain BEM for two‐dimensional scalar wave propagation
Author(s) -
Israil A. S. M.,
Banerjee P. K.
Publication year - 1990
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.1620290507
Subject(s) - boundary element method , scalar (mathematics) , quadratic equation , boundary (topology) , mathematics , time domain , boundary value problem , mathematical analysis , transient (computer programming) , finite element method , geometry , computer science , engineering , structural engineering , computer vision , operating system
An improved formulation for solving 2D transient scalar wave propagation problems by the Boundary Element Method (BEM) is presented. The kernels presented are simpler and better behaved than those that have appeared in the published literature. An appropriate set of temporal shape functions for linear variation is used. For spatial variations isoparametric quadratic elements are used. All of these represent significant improvements over the present level of sophistication in the analysis of 2D transient scalar problems. The algorithm is implemented in a general purpose boundary element code known as GPBEST.