On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems.

DOI10.1007/s10492-014-0068-0zbMath1340.65248OpenAlexW2029997069MaRDI QIDQ489233

Balázs Kovács

Publication date: 27 January 2015

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

Full work available at URL: http://real.mtak.hu/21521/1/KB_sharp_u_141753.692504.pdf

zbMATH Keywords

numerical experimenta posteriori error estimationquasilinear elliptic problem

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for boundary value problems involving PDEs (65N06) Quasilinear elliptic equations (35J62)

Uses Software

• Maple
• Matlab

Cites Work

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• On the updating and assembly of the Hessian matrix in finite element methods
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• A classification of quasi-Newton methods
• A posteriori error analysis via duality theory. With applications in modeling and numerical approximations.
• On a superconvergent finite element scheme for elliptic systems. I. Dirichlet boundary condition
• Variable Preconditioning via Quasi-Newton Methods for Nonlinear Problems in Hilbert Space
• The gradient-finite element method for elliptic problems

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