Mixed Interior Penalty Discontinuous Galerkin Methods for One-Dimensional Fully Nonlinear Second Order Elliptic and Parabolic Equations

DOI10.4208/jcm.1401-m4357zbMath1313.65263arXiv1212.0259OpenAlexW2964013139MaRDI QIDQ2924387

Thomas Lewis, Xiaobing Feng

Publication date: 3 November 2014

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

Full work available at URL: https://arxiv.org/abs/1212.0259

zbMATH Keywords

numerical resultsdiscontinuous Galerkin methodsviscosity solutionsfully nonlinear PDEsg-monotonicity

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (4)

Nonstandard local discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions ⋮ Local discontinuous Galerkin methods for one-dimensional second order fully nonlinear elliptic and parabolic equations ⋮ A mixed discontinuous Galerkin method for the wave equation ⋮ Mixed interior penalty discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions

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