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• W4289705123 abstract "The element-free Galerkin (EFG) method with penalty for Stokes problems is proposed and analyzed in this work. A priori error estimates of the penalty method, which is used to deal with Dirichlet boundary conditions, are derived to illustrate its validity in a continuous sense. Based on a feasible assumption, it is proved that there is a unique weak solution in the modified weak form of penalized Stokes problems. Then, the error bounds with the penalty factor for the EFG discretization are derived, which provide a rationale for choosing an efficient penalty factor. Numerical examples are given to confirm the theoretical results." @default.
• W4289705123 created "2022-08-04" @default.
• W4289705123 creator A5022526821 @default.
• W4289705123 creator A5035701638 @default.
• W4289705123 date "2022-08-03" @default.
• W4289705123 modified "2023-10-17" @default.
• W4289705123 title "Analysis of the Element-Free Galerkin Method with Penalty for Stokes Problems" @default.
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• W4289705123 doi "https://doi.org/10.3390/e24081072" @default.
• W4289705123 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/36010736" @default.
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