Meshless analysis of an improved element-free Galerkin method for linear and nonlinear elliptic problems |
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| Affiliation: | 1.College of Mathematics and Statistics, Kashgar University, Kashgar 844000, China;2.College of Mathematics Science, Chongqing Normal University, Chongqing 400047, China |
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| Abstract: | We first give a stabilized improved moving least squares(IMLS) approximation, which has better computational stability and precision than the IMLS approximation. Then, analysis of the improved element-free Galerkin method is provided theoretically for both linear and nonlinear elliptic boundary value problems. Finally, numerical examples are given to verify the theoretical analysis. |
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| Keywords: | meshless method moving least squares approximation element-free Galerkin method error estimate |
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