Implicit--explicit time stepping with spatial discontinuous finite elements

DOI10.1016/S0168-9274(02)00192-7zbMath1029.65115OpenAlexW2056621972MaRDI QIDQ1874217

Jérôme Jaffré, Willem H. Hundsdorfer

Publication date: 22 May 2003

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

Full work available at URL: https://doi.org/10.1016/s0168-9274(02)00192-7

zbMATH Keywords

stabilityconvergencenumerical examplesinitial-boundary value problemsdiscontinuous Galerkinimplicit-explicit methodsfinite-elements methodsconvection-reaction equations

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (14)

Accelerated implicit-explicit Runge-Kutta schemes for locally stiff systems ⋮ Implicit-explicit methods based on strong stability preserving multistep time discretizations ⋮ Adaptive IMEX schemes for high-order unstructured methods ⋮ Third-order paired explicit Runge-Kutta schemes for stiff systems of equations ⋮ Convergence results for implicit-explicit general linear methods ⋮ Embedded paired explicit Runge-Kutta schemes ⋮ Paired explicit Runge-Kutta schemes for stiff systems of equations ⋮ Optimal Runge-Kutta stability polynomials for multidimensional high-order methods ⋮ A High-Order Method for Weakly Compressible Flows ⋮ High-order triangle-based discontinuous Galerkin methods for hyperbolic equations on a rotating sphere ⋮ Self-adaptive time integration of flux-conservative equations with sources ⋮ Partitioning methods for reaction-diffusion problems ⋮ On an accurate third order implicit-explicit Runge-Kutta method for stiff problems ⋮ A second-order TVD implicit-explicit finite volume method for time-dependent convection-reaction equations

Uses Software

• RODAS

Cites Work

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