A weak Galerkin least squares finite element method of Cauchy problem for Poisson equation
2022
Abstract In this paper, we introduce a weak Galerkin (WG) least squares finite element method for the Cauchy problem. This finite element method generates a symmetric, positive definite system and can work on general mesh. Optimal order of convergence for the WG approximation in an energy norm is established. The numerical examples confirm the theory.
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