Local discontinuous Galerkin method for the Keller-Segel chemotaxis model
type: Item
instance of: scholarly article
title: Local discontinuous Galerkin method for the Keller-Segel chemotaxis model
zbMATH Open document ID: 1384.92015
author: Xingjie Helen Li
author: Chi-Wang Shu
author: Yang Yang
published in: Journal of Scientific Computing
publication date: 2018-01-16T00:00:00Z
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M22
zbMATH DE Number: 6826600
zbMATH Keywords: local discontinuous Galerkin method
zbMATH Keywords: Keller-Segel chemotaxis model
zbMATH Keywords: positivity preserving
zbMATH Keywords: error estimate
zbMATH Keywords: Neumann boundary condition
zbMATH Keywords: blow-up
zbMATH Keywords: \(L^1\) stability
describes a project that uses: Chemotaxis
MaRDI profile type: Publication
full work available at URL: s10915-016-0354-y
OpenAlex ID: W2568579702
cites work: A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
cites work: A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models
cites work: Nonlinear aspects of chemotaxis
cites work: Q4162607
cites work: An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems
cites work: The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
cites work: Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids
cites work: TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
cites work: TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
cites work: The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
cites work: The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
cites work: Discontinuous Galerkin methods for the chemotaxis and haptotaxis models
cites work: Upwind-difference potentials method for Patlak-Keller-Segel chemotaxis model
cites work: Fully discrete analysis of a discontinuous finite element method for the keller-segel chemotaxis model
cites work: New Interior Penalty Discontinuous Galerkin Methods for the Keller–Segel Chemotaxis Model
cites work: A study of blow-ups in the Keller–Segel model of chemotaxis
cites work: A finite volume scheme for the Patlak-Keller-Segel chemotaxis model
cites work: Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
cites work: Some questions of analysis and differential equations
cites work: Strong stability-preserving high-order time discretization methods
cites work: Positivity preserving high-order local discontinuous Galerkin method for parabolic equations with blow-up solutions
cites work: Stochastic particle approximation for measure valued solutions of the 2D Keller-Segel system
cites work: Finite-time aggregation into a single point in a reaction - diffusion system
cites work: Singularity patterns in a chemotaxis model
cites work: From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
cites work: From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
cites work: Questions of Existence and Uniqueness for Hyperbolic Equations with Discontinuous Coefficients
cites work: Initiation of slime mold aggregation viewed as an instability
cites work: Numerical simulation of chemotactic bacteria aggregation via mixed finite elements
cites work: Superconvergence of Discontinuous Galerkin Methods for Scalar Nonlinear Conservation Laws in One Space Dimension
cites work: Q4872331
cites work: Fully discrete approximation by Galerkin Runge-Kutta methods for quasilinear parabolic systems
cites work: Random walk with persistence and external bias
cites work: Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics
cites work: Efficient implementation of essentially nonoscillatory shock-capturing schemes
cites work: Conservative upwind finite-element method for a simplified Keller–Segel system modelling chemotaxis
cites work: Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis
cites work: Total-Variation-Diminishing Time Discretizations
cites work: A positivity-preserving finite element method for chemotaxis problems in 3D
cites work: Fractional step methods applied to a chemotaxis model
cites work: Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems
cites work: Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems
cites work: Discontinuous Galerkin method for hyperbolic equations involving \(\delta \)-singularities: negative-order norm error estimates and applications
cites work: Discontinuous Galerkin method for Krause's consensus models and pressureless Euler equations
cites work: Error Estimates to Smooth Solutions of Runge--Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws
cites work: Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge–Kutta Discontinuous Galerkin Method for Scalar Conservation Laws
cites work: On maximum-principle-satisfying high order schemes for scalar conservation laws
cites work: On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
cites work: Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms
cites work: Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes
cites work: A positivity-preserving semi-implicit discontinuous Galerkin scheme for solving extended magnetohydrodynamics equations
DOI: 10.1007/S10915-016-0354-Y
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