Coupling of continuous and discontinuous Galerkin methods for transport problems

DOI10.1016/S0045-7825(02)00257-8zbMath1101.76355MaRDI QIDQ1858465

Jennifer Proft, Clint N. Dawson

Publication date: 13 February 2003

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Diffusion and convection (76R99)

Related Items (13)

Application of a combined continuous-discontinuous Galerkin finite element method for the solution of the Girkmann problem ⋮ A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method ⋮ On Local Super-Penalization of Interior Penalty Discontinuous Galerkin Methods ⋮ Hybrid coupling of CG and HDG discretizations based on Nitsche's method ⋮ On the stability of continuous-discontinuous Galerkin methods for advection-diffusion-reaction problems ⋮ Finite element analysis of convection dominated reaction--diffusion problems. ⋮ Discontinuous/continuous Galerkin methods for coupling the primitive and wave continuity equations of shallow water. ⋮ Coupled discontinuous and continuous Galerkin finite element methods for the depth-integrated shallow water equations. ⋮ Coupling of continuous and hybridizable discontinuous Galerkin methods: application to conjugate heat transfer problem ⋮ Enriched Galerkin finite elements for coupled poromechanics with local mass conservation ⋮ A computational strategy for thermo-poroelastic structures with a time-space interface coupling ⋮ Efficient construction of unified continuous and discontinuous Galerkin formulations for the 3D Euler equations ⋮ An a priori error analysis for the coupling of local discontinuous Galerkin and boundary element methods

Cites Work

• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
• Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
• Discontinuous finite element methods for the simulation of rotating electrical machines
• A priori error estimates for interior penalty versions of the local discontinuous Galerkin method applied to transport equations
• Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
• On the coupling of local discontinuous Galerkin and conforming finite element methods
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