A partition of unity approach to adaptivity and limiting in continuous finite element methods

DOI10.1016/j.camwa.2019.03.021zbMath1442.65379OpenAlexW2925307866MaRDI QIDQ2203165

Manuel Quezada de Luna, Dmitri Kuzmin, Christopher E. Kees

Publication date: 5 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2003/37110

zbMATH Keywords

conservation lawsfinite element methods\(hp\)-adaptivitydiscrete maximum principleslimiting techniquespartitioned time-stepping schemes

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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 boundary value problems involving PDEs (65N50) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (8)

Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations ⋮ Matrix-free subcell residual distribution for Bernstein finite elements: monolithic limiting ⋮ A new perspective on flux and slope limiting in discontinuous Galerkin methods for hyperbolic conservation laws ⋮ Algebraic entropy fixes and convex limiting for continuous finite element discretizations of scalar hyperbolic conservation laws ⋮ A third order, implicit, finite volume, adaptive Runge-Kutta WENO scheme for advection-diffusion equations ⋮ A subcell-enriched Galerkin method for advection problems ⋮ Subcell flux limiting for high-order Bernstein finite element discretizations of scalar hyperbolic conservation laws ⋮ Bound-preserving flux limiting for high-order explicit Runge-Kutta time discretizations of hyperbolic conservation laws

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