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Hybridized weak Galerkin finite element method for linear elasticity problem in mixed form 被引量:2

Hybridized weak Galerkin finite element method for linear elasticity problem in mixed form
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摘要 A hybridization technique is applied to the weak Galerkin finite element method (WGFEM) for solving the linear elasticity problem in mixed form. An auxiliary function, the Lagrange multiplier defined on the boundary of elements, is introduced in this method. Consequently, the computational costs are much lower than the standard WGFEM. Optimal order error estimates are presented for the approximation scheme. Numerical results are provided to verify the theoretical results. A hybridization technique is applied to the weak Galerkin finite element method (WGFEM) for solving the linear elasticity problem in mixed form. An auxiliary function, the Lagrange multiplier defined on the boundary of elements, is introduced in this method. Consequently, the computational costs are much lower than the standard WGFEM. Optimal order error estimates are presented for the approximation scheme. Numerical results are provided to verify the theoretical results.
出处 《Frontiers of Mathematics in China》 SCIE CSCD 2018年第5期1121-1140,共20页 中国高等学校学术文摘·数学(英文)
关键词 Linear elasticity weak Galerkin (WG) hybridization technique mixed finite element method Linear elasticity weak Galerkin (WG) hybridization technique mixed finite element method
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