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Title: $hp$-anisotropic mesh adaptation technique based on interpolation error estimates (English)
Author: Dolejší, Vít
Language: English
Journal: Applications of Mathematics 2013
Volume: Proceedings. Prague, May 15-17, 2013
Issue: 2013
Pages: 32-41
Category: math
Summary: We present a completely new $hp$-anisotropic mesh adaptation technique for the numerical solution of partial differential equations with the aid of a discontinuous piecewise polynomial approximation. This approach generates general anisotropic triangular grids and the corresponding degrees of polynomial approximation based on the minimization of the interpolation error. We develop the theoretical background of this approach and present a numerical example demonstrating the efficiency of this anisotropic strategy in comparison with an isotropic one. (English)
Keyword: mesh generation
Keyword: anisotropic mesh
Keyword: convection-diffusion equation
Keyword: interpolation error estimates
Keyword: numerical example
MSC: 35J25
MSC: 65N15
MSC: 65N30
MSC: 65N50
idZBL: Zbl 1340.65285
idMR: MR3204428
Date available: 2017-02-14T09:13:40Z
Last updated: 2017-03-20
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