Uniqueness of numerical solutions to nonlinear parabolic equations by a fully implicit discontinuous Galerkin method

DOI10.1016/J.AML.2014.05.016zbMath1314.65128OpenAlexW2019543145MaRDI QIDQ2349373

Jinhu Ma, Lun-Ji Song

Publication date: 22 June 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2014.05.016

zbMATH Keywords

nonlinear parabolic equationuniquenessfixed pointdiscontinuous Galerkin method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

• Interior penalty discontinuous Galerkin methods with implicit time-integration techniques for nonlinear parabolic equations
• Superconvergent discontinuous Galerkin methods for second-order elliptic problems
• The $h-p$ version of the finite element method with quasiuniform meshes
• An Interior Penalty Finite Element Method with Discontinuous Elements
• Discontinuous Galerkin Methods for Quasi‐Linear Elliptic Problems of Nonmonotone Type
• A Discontinuous Subgrid Eddy Viscosity Method for the Time-Dependent Navier--Stokes Equations
• Symmetric and Nonsymmetric Discontinuous Galerkin Methods for Reactive Transport in Porous Media

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