MESHFREE SHAPE FUNCTION AND DERIVATIVES IN ONE DIMENSION WITH ARBITRARY NODAL DISTRIBUTION: MATLAB PROGRAMMING
Keywords:
Meshfree, weight function, shape function, MLS approximation, basis function, matlabAbstract
The paper is intended for the beginners on meshfree methods, to present the detailed matlab programming aspects for the construction of the moving least square approximation shape function and their derivatives in onedimension, with arbitrary nodal distribution, using the MATLAB code provided at the appendix. The condition of not a number (NaN) during the execution of MATLAB program has been given the vital attention and elaborated by presenting the related plots of shape function and its derivatives. The program has been further extended to solve and compare the results of an elastostatics problem, using the exact and element free galerkin method so-lutions.
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