Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems

DOI10.1515/jnma-2018-0035zbMath1458.65130OpenAlexW2898068888MaRDI QIDQ2338631

Sangita Yadav, Amiya K. Pani

Publication date: 21 November 2019

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

Full work available at URL: https://doi.org/10.1515/jnma-2018-0035

zbMATH Keywords

DGMnumerical experimentserror analysispost-processingnonlinear parabolic problemssuper-convergence estimates

Mathematics Subject Classification ID

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 (3)

Generalized multiscale hybridizable discontinuous Galerkin (GMsHDG) method for flows in nonlinear porous media ⋮ Interpolatory super-convergent discontinuous Galerkin methods for nonlinear reaction diffusion equations on three dimensional domains ⋮ An interpolatory directional splitting-local discontinuous Galerkin method with application to pattern formation in 2D/3D

Cites Work

• Unnamed Item
• Unnamed Item
• An \(hp\)-local discontinuous Galerkin method for parabolic integro-differential equations
• Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data
• Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
• An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
• A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems
• Superconvergent discontinuous Galerkin methods for second-order elliptic problems
• Uniform-in-time superconvergence of HDG methods for the heat equation
• $hp$-Version Discontinuous Galerkin Finite Element Method for Semilinear Parabolic Problems
• Locally Conservative Fluxes for the Continuous Galerkin Method
• Superconvergence ofH¹-Galerkin mixed finite element methods for parabolic problems
• Superconvergence of mixed finite element methods for parabolic equations
• Superconvergence of the Gradient in Piecewise Linear Finite-Element Approximation to a Parabolic Problem
• Error estimates for some mixed finite element methods for parabolic type problems
• Higher Order Local Accuracy by Averaging in the Finite Element Method
• A Quasi-Projection Analysis of Galerkin Methods for Parabolic and Hyperbolic Equations
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• AnH¹-Galerkin Mixed Finite Element Method for Parabolic Partial Differential Equations
• Poincaré--Friedrichs Inequalities for Piecewise H¹ Functions
• 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
• Performance of Discontinuous Galerkin Methods for Elliptic PDEs
• Adaptive Finite Element Methods for Parabolic Problems IV: Nonlinear Problems

This page was built for publication: Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems