Stabilized and inexact adaptive methods for capturing internal layers in quasilinear PDE

DOI10.1016/J.CAM.2016.06.011zbMath1346.65051DBLPjournals/jcam/Pollock16arXiv1507.06965OpenAlexW1684845871WikidataQ59394140 ScholiaQ59394140MaRDI QIDQ738974

Sara Pollock

Publication date: 16 August 2016

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

Full work available at URL: https://arxiv.org/abs/1507.06965

zbMATH Keywords

convergenceregularizationstabilizationfinite elementadaptive methodsquasilinear equationsboundary layersnumerical experimentmesh refinementnonlinear diffusioninternal layerspseudo-transient continuationinexact Newton-like methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Quasilinear parabolic equations (35K59)

Related Items (3)

Uniqueness of discrete solutions of nonmonotone PDEs without a globally fine mesh condition ⋮ Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver ⋮ Discrete comparison principles for quasilinear elliptic PDE

Uses Software

• FEniCS
• SciPy

Cites Work

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