An implicit interpolation error-based error estimation strategy for hp-adaptivity in one space dimension

DOI10.1515/156939504323074522zbMath1059.65070OpenAlexW1982520392MaRDI QIDQ4820479

Peter K. Moore

Publication date: 15 October 2004

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

Full work available at URL: https://doi.org/10.1515/156939504323074522

zbMATH Keywords

finite elementreaction diffusion equationsinterpolation error-based error estimatesLobatto interpolant

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items

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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