Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model

DOI10.4208/aamm.oa-2022-0217OpenAlexW4366225336MaRDI QIDQ6141672

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Publication date: 23 January 2024

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.oa-2022-0217

zbMATH Keywords

error estimatelocal discontinuous Galerkin methodsimplicit-explicit time-marching schemegrowth-mediated autochemotactic pattern formation model

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

• Unnamed Item
• Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for nonlinear convection-diffusion problems
• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• Local discontinuous Galerkin method for the Keller-Segel chemotaxis model
• High-order local discontinuous Galerkin method for simulating wormhole propagation
• Local discontinuous Galerkin method with implicit-explicit time marching for incompressible miscible displacement problem in porous media
• Pattern formation and functionality in swarm models
• Numerical simulation for clustering and pattern formation in active colloids with mass-preserving characteristic finite element method
• Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
• Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems
• Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• Local discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow
• Stability and error estimates of local discontinuous Galerkin method with implicit-explicit time marching for simulating wormhole propagation
• Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation

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