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- W2105231351 abstract "The paper is devoted to the analysis of optimal simplicial meshes which minimize the gradient error of the piecewise linear interpolation over all conformal simplicial meshes with a fixed number of cells NT. We present theoretical results on asymptotic dependencies of Lp-norms of the gradient error on NT for spaces of arbitrary dimension d. Our analysis is based on a geometric representation of the gradient error of linear interpolation on a simplex and a relaxed saturation assumption. We derive a metric field Mp such that a Mp-quasi-uniform mesh is quasi-optimal, for arbitrary d and p ∊ ]0, +∞]. Quasi-optimal meshes provide the same asymptotics of the Lp-norm of the gradient error as the optimal meshes." @default.
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- W2105231351 date "2010-07-01" @default.
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- W2105231351 title "Minimization of gradient errors of piecewise linear interpolation on simplicial meshes" @default.
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- W2105231351 doi "https://doi.org/10.1016/j.cma.2010.03.019" @default.
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