Positivity preserving high-order local discontinuous Galerkin method for parabolic equations with blow-up solutions

From MaRDI portal
Publication:729200

DOI10.1016/j.jcp.2015.02.041zbMath1352.65345OpenAlexW2014618205MaRDI QIDQ729200

D. Kharzeev

Publication date: 20 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.02.041




Related Items (26)

Positivity-Preserving Local Discontinuous Galerkin Method for Pattern Formation Dynamical Model in Polymerizing Actin FlocksMaximum-principle-preserving local discontinuous Galerkin methods for Allen-Cahn equationsDiscontinuous Galerkin method for blow-up solutions of nonlinear wave equationsHigh order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developmentsProvable convergence of blow-up time of numerical approximations for a class of convection-diffusion equationsBound-preserving discontinuous Galerkin methods with second-order implicit pressure explicit concentration time marching for compressible miscible displacements in porous mediaHigh-order bound-preserving discontinuous Galerkin methods for multicomponent chemically reacting flowsMaximum-principle-preserving high-order discontinuous Galerkin methods for incompressible Euler equations on overlapping meshesFinite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficientsPositivity preserving temporal second-order spatial fourth-order conservative characteristic methods for convection dominated diffusion equationsLocal discontinuous Galerkin method for the Keller-Segel chemotaxis modelA generalized framework for direct discontinuous Galerkin methods for nonlinear diffusion equationsHigh order positivity-preserving nodal discontinuous Galerkin methods for anisotropic diffusion problemsBound-Preserving Discontinuous Galerkin Method for Compressible Miscible Displacement in Porous MediaHigh-order positivity-preserving method in the flux reconstruction framework for the simulation of two-medium flowA structure-preserving discontinuous Galerkin scheme for the Fisher-KPP equationA positivity-preserving high order discontinuous Galerkin scheme for convection-diffusion equationsHigh-order bound-preserving discontinuous Galerkin methods for wormhole propagation on triangular meshesHigh-order bound-preserving finite difference methods for miscible displacements in porous mediaEnergy dissipative local discontinuous Galerkin methods for Keller-Segel chemotaxis modelMaximum-principle-preserving third-order local discontinuous Galerkin method for convection-diffusion equations on overlapping meshesStability analysis and error estimates of local discontinuous Galerkin methods for convection-diffusion equations on overlapping meshesA nonlinear second derivative method with a variable step-size based on continued fractions for singular initial value problemsNumerical methods to simulate moisture dynamics in fibrous sheetPositivity Preserving Limiters for Time-Implicit Higher Order Accurate Discontinuous Galerkin DiscretizationsHigh-order bound-preserving discontinuous Galerkin methods for compressible miscible displacements in porous media on triangular meshes



Cites Work


This page was built for publication: Positivity preserving high-order local discontinuous Galerkin method for parabolic equations with blow-up solutions