Abstract
This article introduces a weak Galerkin (WG) finite element method for linear elasticity interface problems on general polygonal/polyhedral partitions. The discrete weak divergence and gradient operators are discretized as polynomials and computed by solving inexpensive local problems on each element. The developed WG method has been proved to be stable and accurate with optimal order error estimates in the discrete H1 norm. Some numerical experiments are conducted to verify the efficiency and accuracy of the proposed WG method, in addition, and its uniform convergence independent of the jump of the interface coefficients and the incompressibility.
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