Hessian-free metric-based mesh adaptation via geometry of interpolation error
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Publication:2995807
DOI10.1134/S0965542510010112zbMath1224.65283MaRDI QIDQ2995807
Abdellatif Agouzal, Konstantin N. Lipnikov, Yuri V. Vassilevski
Publication date: 4 May 2011
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
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Metric tensors for the interpolation error and its gradient in \(L^p\) norm ⋮ 3D metric-based anisotropic mesh adaptation for vortex capture ⋮ Approximation of the gradient of a function on the basis of a special class of triangulations ⋮ Minimization of gradient errors of piecewise linear interpolation on simplicial meshes ⋮ On optimal convergence rate of finite element solutions of boundary value problems on adaptive anisotropic meshes ⋮ On the \(L^q\)-saturation property for functions from \(W^{2,p}(\Omega)\) ⋮ Anisotropic norm-oriented mesh adaptation for a Poisson problem
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