Mixed time discontinuous space-time finite element method for convection diffusion equations

DOI10.1007/s10483-008-1206-yzbMath1168.65052OpenAlexW2079759795MaRDI QIDQ1030332

Hong Li, Yang Liu, Siriguleng He

Publication date: 1 July 2009

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-008-1206-y

zbMATH Keywords

stabilityconvergencemixed finite element methodconvection-diffusion equationsnumericaltime discontinuous space-time finite element method

Mathematics Subject Classification ID

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) Initial value problems for second-order parabolic equations (35K15)

Related Items (9)

A new space-time continuous Galerkin method with mesh modification for Sobolev equations ⋮ A novel characteristic expanded mixed method for reaction-convection-diffusion problems ⋮ Time discontinuous Galerkin space-time finite element method for nonlinear Sobolev equations ⋮ A space-time finite element method based on local projection stabilization in space and discontinuous Galerkin method in time for convection-diffusion-reaction equations ⋮ Splitting positive definite mixed element method for viscoelasticity wave equation ⋮ A time-dependent discontinuous Galerkin finite element approach in two-dimensional elastodynamic problems based on spherical Hankel element framework ⋮ Application of C-Bézier and H-Bézier basis functions to numerical solution of convection-diffusion equations ⋮ A POD-based reduced-order TSCFE extrapolation iterative format for two-dimensional heat equations ⋮ A space-time continuous finite element method for 2D viscoelastic wave equation

Cites Work

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• Mixed discontinuous Galerkin methods for Darcy flow
• Space-time finite element method for Schrödinger equation and its conservation
• TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
• The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
• A Local Discontinuous Galerkin Method for KdV Type Equations
• Finite Element Methods and Their Applications
• The space-time finite element method for parabolic problems

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