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Consider the Poisson equation in a polytopal domain $$\Omega \subset {\mathbb {R}}^d$$ Ω⊂Rd ($$d=2, 3$$ d=2,3 ) as the model problem. We study interior energy error estimates for the weak Galerkin finite element approximation to elliptic boundary value problems. In particular, we show that the interior error in the energy norm is bounded by three components: the best local approximation error, the...
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