Anisotropic mesh refinement in polyhedral domains: error estimates with data in L2(Ω)
Thomas Apel, Ariel L. Lombardi, Max Winkler (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The paper is concerned with the finite element solution of the Poisson equation with homogeneous Dirichlet boundary condition in a three-dimensional domain. Anisotropic, graded meshes from a former paper are reused for dealing with the singular behaviour of the solution in the vicinity of the non-smooth parts of the boundary. The discretization error is analyzed for the piecewise linear approximation in the ()- and ()-norms by using a new quasi-interpolation...