Efficient preconditioning for the discontinuous Galerkin finite element method by low-order elements

DOI10.1016/j.apnum.2009.01.002zbMath1171.65078OpenAlexW2123441448MaRDI QIDQ1030663

F. Prill, Ralf Hartmann, Mária Lukáčová-Medvid'ová

Publication date: 2 July 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.01.002

zbMATH Keywords

decomposition methodfinite element methodnumerical experimentsdiscontinuous Galerkin methodstatic condensationlinear advection-diffusion equationblock diagonal preconditioning

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Fast time implicit-explicit discontinuous Galerkin method for the compressible Navier-Stokes equations ⋮ Factorizing the factorization -- a spectral-element solver for elliptic equations with linear operation count

Uses Software

• deal.ii

Cites Work

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