Enhancing adaptive sparse grid approximations and improving refinement strategies using adjoint-based a posteriori error estimates

DOI10.1016/j.jcp.2014.09.014zbMath1349.65422arXiv1407.1061OpenAlexW1979307734MaRDI QIDQ349696

Mohammad Hasan, M. Dambrine

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.1061

zbMATH Keywords

adaptivitysparse gridsuncertainty quantificationA posteriori error estimationstochastic collocation

Mathematics Subject Classification ID

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) Partial difference equations (39A14) Numerical methods for difference equations (65Q10)

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