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Meshless analysis of an improved element-free Galerkin method for linear and nonlinear elliptic problems*

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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… Click to show full 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.

Keywords: free galerkin; improved element; element free; analysis; analysis improved; galerkin method

Journal Title: Chinese Physics B
Year Published: 2017

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