A posteriori error estimation with the \(p\)-version of the finite element method for nonlinear parabolic differential equations.

DOI10.1016/S0045-7825(02)00419-XzbMath1068.76056MaRDI QIDQ1867621

Javier de Frutos, Julia Novo

Publication date: 2 April 2003

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

discrete elliptic problemhierarchical basis estimates

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) 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) Diffusion and convection (76R99)

Related Items (8)

Efficient simulation of cardiac electrical propagation using high-order finite elements. II: Adaptive \(p\)-version ⋮ Guaranteed a-posteriori error estimation for semi-discrete solutions of parabolic problems based on elliptic reconstruction ⋮ Mesh optimization using an improved self-organizing mechanism ⋮ An adaptive SUPG method for evolutionary convection-diffusion equations ⋮ A posteriori error estimations for mixed finite-element approximations to the Navier-Stokes equations ⋮ A posteriori error estimates for fully discrete nonlinear parabolic problems ⋮ Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems ⋮ A posteriori error estimations for mixed finite element approximations to the Navier-Stokes equations based on Newton-type linearization

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