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Crouzeix--Raviart--Marini realisation of computable a priori $L^2$-error bounds on anisotropic meshes

Ishizaka, Hiroki
arXiv (All) · Papers
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numerical-analysis
We consider conforming $\Pone$ and lowest-order Crouzeix--Raviart (CR) approximations of the Dirichlet Poisson problem in two and three dimensions. We obtain computable a priori $L^2$-error bounds on anisotropic simplicial meshes without a global $H^2$-regularity assumption. For piecewise constant d
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