An a posteriori error estimator for the spectral fractional power of the Laplacian

DOI10.1016/j.cma.2023.115943OpenAlexW4221139966MaRDI QIDQ2693424

Olga Barrera, Raphaël Bulle, Franz Chouly, Jack S. Hale, Stéphane Pierre Alain Bordas

Publication date: 20 March 2023

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

Full work available at URL: https://arxiv.org/abs/2202.05810

zbMATH Keywords

finite element methodsa posteriori error estimationfractional partial differential equationsadaptive refinement methodsBank-Weiser error estimator

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Uses Software

• Gmsh
• hypre
• PETSc
• FEniCS
• ma2dfc

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