An asymptotically exact, pointwise, a posteriori error estimator for linear, elliptic, one-dimensional problems with possible singularities in the solution

DOI10.1016/0377-0427(94)90177-5zbMath0819.65112OpenAlexW2080514488MaRDI QIDQ1347149

Jens Hugger

Publication date: 5 September 1995

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90177-5

zbMATH Keywords

singularitiesnumerical exampleserror estimationfinite elementsuperconvergencelinear elliptic problemszeros of derivatives

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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Recovery and few parameter representation of the optimal mesh density function for near optimal finite element meshes ⋮ The equilibrium method for local, a posteriori, pointwise estimation of the finite element error ⋮ Adaptive recovery of near optimal meshes in the finite element method for parameter dependent problems ⋮ Error estimates and adaptive finite element methods ⋮ A theory for local, posteriori, pointwise, residual-based estimation of the finite element error ⋮ Original geometrical stopping criteria associated to multilevel adaptive mesh refinement for problems with local singularities

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