An oscillation free local discontinuous Galerkin method for nonlinear degenerate parabolic equations (Q6066576)

scientific article; zbMATH DE number 7777350

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English	An oscillation free local discontinuous Galerkin method for nonlinear degenerate parabolic equations	scientific article; zbMATH DE number 7777350

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instance of

scholarly article

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title

An oscillation free local discontinuous Galerkin method for nonlinear degenerate parabolic equations (English)

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Numerical Methods for Partial Differential Equations

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publication date

13 December 2023

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full work available at URL

https://arxiv.org/abs/2109.04168

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zbMATH Keywords

degenerate parabolic equations

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local discontinuous Galerkin methods

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optimal error estimates

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oscillation free

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MaRDI profile type

MaRDI publication profile

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cites work

Q5318420

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Quasilinear elliptic-parabolic differential equations

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Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems

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Optimal error estimate of the local discontinuous Galerkin methods based on the generalized alternating numerical fluxes for nonlinear convection-diffusion equations

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Kernel based high order ``explicit'' unconditionally stable scheme for nonlinear degenerate advection-diffusion equations

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The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws

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The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems

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The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems

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Degenerate parabolic equations

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An Interface Tracking Algorithm for the Porous Medium Equation

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Adaptive discontinuous Galerkin methods with shock‐capturing for the compressible Navier–Stokes equations

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Entropy stable shock capturing space-time discontinuous Galerkin schemes for systems of conservation laws

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Entropy Stable Schemes for Degenerate Convection-Diffusion Equations

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High order finite difference multi-resolution WENO method for nonlinear degenerate parabolic equations

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On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients

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An Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Systems

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An Oscillation-free Discontinuous Galerkin Method for Scalar Hyperbolic Conservation Laws

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Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations

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Superconvergence of Discontinuous Galerkin Methods for Scalar Nonlinear Conservation Laws in One Space Dimension

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Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters

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A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials

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Error Estimate on a Fully Discrete Local Discontinuous Galerkin Method for Linear Convection-Diffusion Problem

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Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations

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Error Estimates to Smooth Solutions of Runge--Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws

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Numerical simulation for porous medium equation by local discontinuous Galerkin finite element method

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Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes

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Mathematics(1 entry)

mardi Publication:6066576