A unified a posteriori error estimate of local discontinuous Galerkin approximations for reactive transport problems

DOI10.1007/s13226-015-0160-5zbMath1355.65119OpenAlexW2283793418MaRDI QIDQ308337

Ji-Ming Yang

Publication date: 6 September 2016

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-015-0160-5

zbMATH Keywords

semi-discrete methoda posteriori error estimatesnumerical experimentlocal discontinuous Galerkin methodduality techniquereactive transport equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

Adaptive variational discretization approximation method for parabolic optimal control problems

Cites Work

• Unnamed Item
• Unnamed Item
• An a posteriori error estimate for the local discontinuous Galerkin method applied to linear and nonlinear diffusion problems
• An a posteriori error estimate for the local discontinuous Galerkin method
• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems
• A posteriori discontinuous Galerkin error estimates for transient convection-diffusion equations
• A posteriori error estimation and dynamic adaptivity for symmetric discontinuous Galerkin approximations of reactive transport problems
• A priori error estimates for interior penalty versions of the local discontinuous Galerkin method applied to transport equations
• The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
• Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
• The $h-p$ version of the finite element method with quasiuniform meshes
• The Optimal Convergence Rate of the p-Version of the Finite Element Method
• 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
• Local discontinuous Galerkin methods for elliptic problems
• Performance of Discontinuous Galerkin Methods for Elliptic PDEs

This page was built for publication: A unified a posteriori error estimate of local discontinuous Galerkin approximations for reactive transport problems