Analysis of a Staggered Discontinuous Galerkin Method for Linear Elasticity

被引:0
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作者
Jeonghun J. Lee
Hyea Hyun Kim
机构
[1] University of Oslo,Department of Mathematics
[2] Kyung Hee University,Department of Applied Mathematics
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关键词
Discontinuous Galerkin method; Linear elasticity; Error analysis; Weak symmetry; 65N30; 65N12;
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摘要
We develop a staggered discontinuous Galerkin method for linear elasticity problems and prove its a priori error estimates. In our variational formulation the symmetry of the stress tensor is imposed weakly via Lagrange multipliers but the resulting numerical stress tensor is strongly symmetric. Optimal a priori error estimates are obtained and the error estimates are robust in nearly incompressible materials. Numerical experiments illustrating our theoretical analysis are included.
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页码:625 / 649
页数:24
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