Inexact hierarchical scale separation: a two-scale approach for linear systems from discontinuous Galerkin discretizations

DOI10.1016/j.camwa.2017.06.025zbMath1398.65088OpenAlexW2734998803MaRDI QIDQ1668535

Mauricio Araya-Polo, Christopher Thiele, Florian Frank, Faruk O. Alpak, Béatrice Rivière

Publication date: 29 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.06.025

zbMATH Keywords

discontinuous Galerkin methodparallel computing\(p\)-multigrid methodhierarchical scale separationmodal basissparse linear solver

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Related Items (6)

A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows ⋮ Inexact hierarchical scale separation: a two-scale approach for linear systems from discontinuous Galerkin discretizations ⋮ Bound-preserving flux limiting schemes for DG discretizations of conservation laws with applications to the Cahn-Hilliard equation ⋮ A finite volume/discontinuous Galerkin method for the advective Cahn-Hilliard equation with degenerate mobility on porous domains stemming from micro-CT imaging ⋮ \(p\)-multigrid with partial smoothing: an efficient preconditioner for discontinuous Galerkin discretizations with modal bases ⋮ FESTUNG: a MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. III: Hybridized discontinuous Galerkin (HDG) formulation

Uses Software

• Trilinos
• Anderson
• GitHub

Cites Work

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