Energy dissipative local discontinuous Galerkin methods for Keller-Segel chemotaxis model
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Publication:1999867
DOI10.1007/s10915-018-0813-8zbMath1419.65061OpenAlexW2888214043WikidataQ129340543 ScholiaQ129340543MaRDI QIDQ1999867
Publication date: 27 June 2019
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-018-0813-8
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44)
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Cites Work
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- Discontinuous Galerkin method for Krause's consensus models and pressureless Euler equations
- A positivity-preserving semi-implicit discontinuous Galerkin scheme for solving extended magnetohydrodynamics equations
- Blow-up in finite or infinite time for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type
- Uniform \(L^{\infty}\) boundedness for a degenerate parabolic-parabolic Keller-Segel model
- Fully discrete analysis of a discontinuous finite element method for the keller-segel chemotaxis model
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- Fully discrete approximation by Galerkin Runge-Kutta methods for quasilinear parabolic systems
- Positivity preserving high-order local discontinuous Galerkin method for parabolic equations with blow-up solutions
- Initiation of slime mold aggregation viewed as an instability
- Refined hyper-contractivity and uniqueness for the Keller-Segel equations
- The parabolic-parabolic Keller-Segel model in \(\mathbb R^2\)
- A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- Nonlinear aspects of chemotaxis
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Local discontinuous Galerkin method for the Keller-Segel chemotaxis model
- From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
- A positivity-preserving finite element method for chemotaxis problems in 3D
- Upwind-difference potentials method for Patlak-Keller-Segel chemotaxis model
- Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis
- Stochastic particle approximation for measure valued solutions of the 2D Keller-Segel system
- Discontinuous Galerkin method for hyperbolic equations involving \(\delta \)-singularities: negative-order norm error estimates and applications
- A finite volume scheme for the Patlak-Keller-Segel chemotaxis model
- Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes
- Discontinuous Galerkin methods for the chemotaxis and haptotaxis models
- Singularity patterns in a chemotaxis model
- Strong Stability-Preserving High-Order Time Discretization Methods
- The Parabolic-Parabolic Keller-Segel System with Critical Diffusion as a Gradient Flow in ℝd,d ≥ 3
- Random walk with persistence and external bias
- Conservative upwind finite-element method for a simplified Keller–Segel system modelling chemotaxis
- A hybrid variational principle for the Keller–Segel system in ℝ2
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Finite-time aggregation into a single point in a reaction - diffusion system
- Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations
- A study of blow-ups in the Keller–Segel model of chemotaxis
- New Interior Penalty Discontinuous Galerkin Methods for the Keller–Segel Chemotaxis Model
- Numerical simulation of chemotactic bacteria aggregation via mixed finite elements
- Fractional step methods applied to a chemotaxis model
