Gradient Recovery for Elliptic Interface Problem: I. Body-Fitted Mesh

DOI10.4208/cicp.OA-2017-0026zbMath1488.65615arXiv1607.05898WikidataQ128545197 ScholiaQ128545197MaRDI QIDQ5159758

Xu Yang, Hailong Guo

Publication date: 28 October 2021

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

Full work available at URL: https://arxiv.org/abs/1607.05898

zbMATH Keywords

superconvergencegradient recoveryadaptive methodelliptic interface problembody-fitted mesh\textit{a posteriori} error estimator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (6)

Enriched gradient recovery for interface solutions of the Poisson-Boltzmann equation ⋮ Deep Unfitted Nitsche Method for Elliptic Interface Problems ⋮ A three-dimensional Petrov-Galerkin finite element interface method for solving inhomogeneous anisotropic Maxwell's equations in irregular regions ⋮ A flux-jump preserved gradient recovery technique for accurately predicting the electrostatic field of an immersed biomolecule ⋮ Superconvergent gradient recovery for nonlinear Poisson-Nernst-Planck equations with applications to the ion channel problem ⋮ Unfitted Nitsche's method for computing wave modes in topological materials

Uses Software

• IIMPACK

Cites Work

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