Interpolation error-based a posteriori error estimation for \(hp\)-refinement using first and second derivative jumps.

DOI10.1016/j.apnum.2003.06.001zbMath1080.65108OpenAlexW2022488045MaRDI QIDQ1419856

Peter K. Moore

Publication date: 26 January 2004

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2003.06.001

zbMATH Keywords

error boundsfinite-element methodA posteriori error estimationhp-adaptive refinement

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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An implicit interpolation error-based error estimation strategy for hp-adaptivity in one space dimension, Implicit interpolation error-based error estimation for reaction-diffusion equations in two space dimensions., Comparison of hp-adaptive error estimates for second order hyperbolic systems, A posteriori error estimation for $hp$-adaptivity for fourth-order equations

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