A priori error analyses of a stabilized discontinuous Galerkin method

DOI10.1016/S0898-1221(03)90220-3zbMath1058.65122OpenAlexW1977755392MaRDI QIDQ597261

J. Tinsley Oden, Serge Prudhomme, Albert Romkes

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)90220-3

zbMATH Keywords

stabilityconvergencenumerical experimentserror analysisdiscontinuous Galerkin methoda priori error estimationlinear stationary reaction-diffusion equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Superconvergence of discontinuous Galerkin method for neutral delay differential equations ⋮ Stability analysis of discontinuous Galerkin method for stiff Volterra functional differential equations ⋮ A priori error analyses of a stabilized discontinuous Galerkin method ⋮ A two-grid method for discontinuous Galerkin approximations to nonlinear Sobolev equations ⋮ A two-grid method for discontinuous Galerkin approximations to compressible miscible displacement problems ⋮ A two-grid combined mixed finite element and discontinuous Galerkin method for a compressible miscible displacement problem ⋮ Interior penalty continuous and discontinuous finite element approximations of hyperbolic equations ⋮ A two‐grid discontinuous Galerkin method for an incompressible miscible displacement problem ⋮ A priori error analysis of a discontinuous Galerkin approximation for a kind of compressible miscible displacement problems ⋮ A coupled electro-thermal discontinuous Galerkin method ⋮ A combined mixed and discontinuous Galerkin method for compressible miscible displacement problem in porous media ⋮ A posteriori error estimation for a new stabilized discontinuous Galerkin method ⋮ A discontinuous Galerkin method for non-linear electro-thermo-mechanical problems: application to shape memory composite materials ⋮ Analysis of a semidiscrete discontinuous Galerkin scheme for compressible miscible displacement problem ⋮ Nonlinear stability of discontinuous Galerkin methods for delay differential equations ⋮ A two-grid discontinuous Galerkin method for a kind of nonlinear parabolic problems ⋮ A posteriori estimates for the bubble stabilized discontinuous Galerkin method ⋮ Sensitivity and uncertainty analysis by discontinuous Galerkin of lock-in thermography for crack characterization ⋮ Error analysis of a two-grid discontinuous Galerkin method for non-linear parabolic equations ⋮ A posteriori error of a discontinuous Galerkin scheme for compressible miscible displacement problems with molecular diffusion and dispersion ⋮ A two-grid combined mixed finite element and discontinuous Galerkin method for an incompressible miscible displacement problem in porous media ⋮ Interior penalty discontinuous Galerkin FEMs for a gradient beam and cnts ⋮ \(hp\)-version interior penalty DGFEMs for the biharmonic equation ⋮ A priori error estimates of a combined mixed finite element and local discontinuous Galerkin method for an incompressible miscible displacement problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A priori error analyses of a stabilized discontinuous Galerkin method
• The global element method applied to a harmonic mixed boundary value problem
• A discontinuous \(hp\) finite element method for diffusion problems
• Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
• A priori error estimate for the Baumann–Oden version of the discontinuous Galerkin method
• The $h-p$ version of the finite element method with quasiuniform meshes
• An Implicit Matching Principle for Global Element Calculations
• Mixed and Hybrid Finite Element Methods
• A Local Residual Finite Element Procedure for Elliptic Equations
• A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems