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Boundary element‐free method (BEFM) for two‐dimensional elastodynamic analysis using Laplace transform
Author(s) -
Liew K. M.,
Cheng Yumin,
Kitipornchai S.
Publication year - 2005
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.1417
Subject(s) - singular boundary method , laplace transform , boundary element method , mathematics , moving least squares , mathematical analysis , boundary (topology) , boundary knot method , method of fundamental solutions , domain (mathematical analysis) , laplace's equation , boundary value problem , regularized meshless method , numerical analysis , finite element method , structural engineering , engineering
In this paper, we present a direct meshless method of boundary integral equation (BIE), known as the boundary element‐free method (BEFM), for two‐dimensional (2D) elastodynamic problems that combines the BIE method for 2D elastodynamics in the Laplace‐transformed domain and the improved moving least‐squares (IMLS) approximation. The formulae for the BEFM for 2D elastodynamic problems are given, and the numerical procedures are also shown. The BEFM is a direct numerical method, in which the basic unknown quantities are the real solutions of the nodal variables, and the boundary conditions can be implemented directly and easily that leads to a greater computational precision. For the purpose of demonstration, some selected numerical examples are solved using the BEFM. Copyright © 2005 John Wiley & Sons, Ltd.