Unconditionally energy-stable discontinuous Galerkin method for the chemo-repulsion-Navier-Stokes system
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Publication:6062197
DOI10.1016/j.camwa.2023.09.012OpenAlexW4387275062MaRDI QIDQ6062197
Wenju Zhao, Bo Wang, Guang-an Zou, Meiting Wang
Publication date: 30 November 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2023.09.012
error estimatesIMEX schemeunconditionally energy-stablechemo-repulsion-Navier-Stokes systemDG pressure-projection method
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Cell movement (chemotaxis, etc.) (92C17)
Cites Work
- Unnamed Item
- Unnamed Item
- Fully discrete analysis of a discontinuous finite element method for the keller-segel chemotaxis model
- Initiation of slime mold aggregation viewed as an instability
- Existence and uniqueness theorem on mild solutions to the Keller-Segel system coupled with the Navier-Stokes fluid
- Weak and strong solutions for the incompressible Navier-Stokes equations with damping
- A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models
- The development of concentration gradients in a suspension of chemotactic bacteria
- Numerical study of plume patterns in a chemotaxis-diffusion-convection coupling system
- Numerical investigation of falling bacterial plumes caused by bioconvection in a three-dimensional chamber
- Optimal order error estimates for discontinuous Galerkin methods for the wave equation
- Upwind-difference potentials method for Patlak-Keller-Segel chemotaxis model
- Existence of smooth solutions to coupled chemotaxis-fluid equations
- Comparison of two finite element schemes for a chemo-repulsion system with quadratic production
- Third order positivity-preserving direct discontinuous Galerkin method with interface correction for chemotaxis Keller-Segel equations
- Fully decoupled and energy stable BDF schemes for a class of Keller-Segel equations
- Stability analysis and error estimates of implicit-explicit Runge-Kutta local discontinuous Galerkin methods for nonlinear fractional convection-diffusion problems
- Discontinuous Galerkin methods for fractional elliptic problems
- Study of a chemo-repulsion model with quadratic production. II: Analysis of an unconditionally energy-stable fully discrete scheme
- Study of a chemo-repulsion model with quadratic production. I: Analysis of the continuous problem and time-discrete numerical schemes
- A high-order nodal discontinuous Galerkin method for nonlinear fractional Schrödinger type equations
- Implicit-explicit local discontinuous Galerkin methods with generalized alternating numerical fluxes for convection-diffusion problems
- A finite volume scheme for the Patlak-Keller-Segel chemotaxis model
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- Bacterial swimming and oxygen transport near contact lines
- Global Well-Posedness for the Two-Dimensional Incompressible Chemotaxis-Navier--Stokes Equations
- Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
- Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- DG Approximation of Coupled Navier–Stokes and Darcy Equations by Beaver–Joseph–Saffman Interface Condition
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- Local Discontinuous Galerkin Methods for the Stokes System
- A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Numerical analysis for a chemotaxis-Navier–Stokes system
- Error Estimate of Unconditionally Stable and Decoupled Linear Positivity-Preserving FEM for the Chemotaxis-Stokes Equations
- A fully-decoupled discontinuous Galerkin approximation of the Cahn–Hilliard–Brinkman–Ohta–Kawasaki tumor growth model
- Optimal error estimates of a Crank–Nicolson finite element projection method for magnetohydrodynamic equations
- A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence
- Unconditionally Bound Preserving and Energy Dissipative Schemes for a Class of Keller--Segel Equations
- New Interior Penalty Discontinuous Galerkin Methods for the Keller–Segel Chemotaxis Model
- A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure
- Unconditionally energy stable fully discrete schemes for a chemo-repulsion model
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
- A finite volume scheme for a Keller-Segel model with additional cross-diffusion
- Decoupled Energy Stable Schemes for Phase-Field Models of Two-Phase Complex Fluids
- The Mathematical Theory of Finite Element Methods
- A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations
- Unconditionally energy-stable finite element scheme for the chemotaxis-fluid system
- Fully discrete discontinuous Galerkin numerical scheme with second-order temporal accuracy for the hydrodynamically coupled lipid vesicle model
- A fully-decoupled discontinuous Galerkin method for the nematic liquid crystal flows with SAV approach
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