A posteriori estimators for the \(h\)-\(p\) version of the finite element method in 1D

DOI10.1016/S0168-9274(99)00046-XzbMath0966.65060OpenAlexW2014750460MaRDI QIDQ1590820

Alfred Schmidt, Kunibert G. Siebert

Publication date: 16 August 2001

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

Full work available at URL: https://doi.org/10.1016/s0168-9274(99)00046-x

zbMATH Keywords

numerical resultserror boundsadaptive algorithmboundary layerselliptic problemsa posteriori estimateserror reduction\(h\)-\(p\)-algorithm

Mathematics Subject Classification ID

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) Linear boundary value problems for ordinary differential equations (34B05)

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