A POD-RBF-FD scheme for simulating chemotaxis models on surfaces
DOI10.1016/j.enganabound.2022.06.024OpenAlexW4284892073WikidataQ113875182 ScholiaQ113875182MaRDI QIDQ2085924
Mehdi Dehghan, Vahid Mohammadi
Publication date: 19 October 2022
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2022.06.024
proper orthogonal decompositiona hyperviscosity formulationbiconjugate gradient stabilized methodchemotaxis mathematical models on surfacespattern formation and aggregations of bacteriaradial basis function-generated finite difference technique
PDEs in connection with fluid mechanics (35Q35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A high-order kernel method for diffusion and reaction-diffusion equations on surfaces
- Numerical simulation of chemotaxis models on stationary surfaces
- A local radial basis function method for advection-diffusion-reaction equations on complexly shaped domains
- A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere
- Reduced order modeling based on POD of a parabolized Navier-Stokes equations model II: trust region POD 4D VAR data assimilation
- Stable calculation of Gaussian-based RBF-FD stencils
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs
- Efficient, accurate and flexible finite element solvers for chemotaxis problems
- Turing instabilities in a mathematical model for signaling networks
- A POD reduced order model for resolving angular direction in neutron/photon transport problems
- A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models
- Stability of operator splitting methods for systems with indefinite operators: Advection-diffusion-reaction systems
- The use of PDE centres in the local RBF Hermitian method for 3D convective-diffusion problems
- Continuous and discrete mathematical models of tumor-induced angiogenesis
- Model and analysis of chemotactic bacterial patterns in a liquid medium
- A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model
- The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations
- An upwind local radial basis functions-differential quadrature (RBF-DQ) method with proper orthogonal decomposition (POD) approach for solving compressible Euler equation
- The overlapped radial basis function-finite difference (RBF-FD) method: a generalization of RBF-FD
- A numerical scheme based on radial basis function finite difference (RBF-FD) technique for solving the high-dimensional nonlinear Schrödinger equations using an explicit time discretization: Runge-Kutta method
- A positivity-preserving finite element method for chemotaxis problems in 3D
- Numerical simulation and error estimation of the time-dependent Allen-Cahn equation on surfaces with radial basis functions
- Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion equations
- Order-preserving derivative approximation with periodic radial basis functions
- Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method
- Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization
- Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation
- Two-dimensional simulation of the damped Kuramoto-Sivashinsky equation via radial basis function-generated finite difference scheme combined with an exponential time discretization
- An AFC-stabilized implicit finite element method for partial differential equations on evolving-in-time surfaces
- A radial basis function (RBF)-finite difference (FD) method for diffusion and reaction-diffusion equations on surfaces
- A scalable RBF-FD method for atmospheric flow
- A finite volume scheme for the Patlak-Keller-Segel chemotaxis model
- On choosing ``optimal shape parameters for RBF approximation
- Discontinuous Galerkin methods for the chemotaxis and haptotaxis models
- Scattered node compact finite difference-type formulas generated from radial basis functions
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- A State Space Error Estimate for POD-DEIM Nonlinear Model Reduction
- Scattered Data Interpolation on Embedded Submanifolds with Restricted Positive Definite Kernels: Sobolev Error Estimates
- LOWER ESTIMATE OF THE ATTRACTOR DIMENSION FOR A CHEMOTAXIS GROWTH SYSTEM
- Conservative upwind finite-element method for a simplified Keller–Segel system modelling chemotaxis
- A Primer on Radial Basis Functions with Applications to the Geosciences
- An optimizing reduced order FDS for the tropical Pacific Ocean reduced gravity model
- Mathematical Modelling of Tumour Invasion and Metastasis
- A Simple Mesh Generator in MATLAB
- A radial basis function (RBF) finite difference method for the simulation of reaction–diffusion equations on stationary platelets within the augmented forcing method
- A Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds
- New Interior Penalty Discontinuous Galerkin Methods for the Keller–Segel Chemotaxis Model
- Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media
- A Review of Vasculogenesis Models
- Scattered Data Approximation
- Fractional step methods applied to a chemotaxis model
This page was built for publication: A POD-RBF-FD scheme for simulating chemotaxis models on surfaces