Optimal convergence and a posteriori error analysis of the original DG method for advection-reaction equations.

DOI10.1007/s10492-015-0082-xzbMath1340.65194OpenAlexW2016764724MaRDI QIDQ489250

Shuhua Zhang, Tie Zhang

Publication date: 27 January 2015

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/144089

zbMATH Keywords

numerical experimentsdiscontinuous Galerkin methoda posteriori error estimateoptimal convergence rateadvection-reaction equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (4)

Nonlinear dynamic analysis for coupled vehicle-bridge system with harmonic excitation ⋮ A posteriori error estimates of a DG method for optimal control problems governed by the transport equation ⋮ A Posteriori Error Estimates of Discontinuous Streamline Diffusion Methods for Transport Equations ⋮ The weak Galerkin finite element method for the transport-reaction equation

Cites Work

• Unnamed Item
• Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
• A posteriori error estimators for convection-diffusion equations
• Small data oscillation implies the saturation assumption
• A posteriori error analysis for stabilised finite element approximations of transport problems
• hp-Adaptive Discontinuous Galerkin Finite Element Methods for First-Order Hyperbolic Problems
• On the order of convergence of the discontinuous Galerkin method for hyperbolic equations
• A Posteriori Error Estimation for Interior Penalty Finite Element Approximations of the Advection-Reaction Equation
• Symmetric positive linear differential equations
• A Note on the Convergence of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
• Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes
• An Optimal-Order Error Estimate for the Discontinuous Galerkin Method
• Adaptive Streamline Diffusion Finite Element Methods for Stationary Convection-Diffusion Problems
• A finite element method for domain decomposition with non-matching grids
• Some remarks about the hierarchicala posteriori error estimate
• An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
• A Posteriori Error Estimators for the Raviart–Thomas Element
• Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory

This page was built for publication: Optimal convergence and a posteriori error analysis of the original DG method for advection-reaction equations.