A Cartesian grid based tailored finite point method for reaction-diffusion equation on complex domains
From MaRDI portal
Publication:2047587
DOI10.1016/j.camwa.2021.05.020OpenAlexW3173698473MaRDI QIDQ2047587
Zhongyi Huang, Wenjun Ying, Yaning Xie
Publication date: 20 August 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2021.05.020
reaction-diffusion equationinterface problemsingularly perturbedtailored finite point methodkernel-free boundary integral method
Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical solution of boundary value problems involving ordinary differential equations (65L10)
Related Items (1)
Cites Work
- A kernel-free boundary integral method for implicitly defined surfaces
- A fitted numerical method for singularly perturbed parabolic reaction-diffusion problems
- The tailored finite point method
- Finite point solver for the simulation of 2-D laminar incompressible unsteady flows
- A tailored finite point method for a singular perturbation problem on an unbounded domain
- A tailored finite point method for convection-diffusion-reaction problems
- Tailored finite point method for steady-state reaction-diffusion equations
- A bilinear partially penalized immersed finite element method for elliptic interface problems with multi-domain and triple-junction points
- High-order compact finite-difference scheme for singularly-perturbed reaction-diffusion problems on a new mesh of Shishkin type
- Uniform fourth order difference scheme for a singular perturbation problem
- Bifurcation analysis of reaction-diffusion equations. III: Chemical oscillations
- An exponentially fitted finite volume method for the numerical solution of 2D unsteady incompressible flow problems
- Ten ways to generate the Il'in and related schemes
- Additive Runge-Kutta schemes for convection-diffusion-reaction equations
- Uniform convergence of arbitrary order on nonuniform meshes for a singularly perturbed boundary value problem
- A fourth-order kernel-free boundary integral method for implicitly defined surfaces in three space dimensions
- Tailored finite point method for the interface problem
- A parameter-uniform Schwarz method for a coupled system of reaction-diffusion equations
- A kernel-free boundary integral method for elliptic boundary value problems
- A compact finite difference scheme for 2D reaction-diffusion singularly perturbed problems
- Towards multiscale functions: enriching finite element spaces with local but not bubble-like functions
- \(\varepsilon\)-uniformly convergent fitted mesh finite difference methods for general singular perturbation problems
- Differencing scheme for a differential equation with a small parameter affecting the highest derivative
- High order methods for elliptic and time dependent reaction-diffusion singularly perturbed problems
- A semi-discrete tailored finite point method for a class of anisotropic diffusion problems
- Singularly perturbed reaction–diffusion equations in a circle with numerical applications
- Fitted Numerical Methods For Singular Perturbation Problems
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- On the Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems in Two and One Dimensions
- Uniform High-Order Difference Schemes for a Singularly Perturbed Two-Point Boundary Value Problem
- A High-Order Difference Method for Differential Equations
- High accuracy finite difference approximation to solutions of elliptic partial differential equations
- The Construction of Finite Difference Approximations to Ordinary Differential Equations
- A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
- A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems
- An alternating direction scheme on a nonuniform mesh for reaction-diffusion parabolic problems
- A novel finite point method for flow simulation
- Uniform approximation of singularly perturbed reaction-diffusion problems by the finite element method on a Shishkin mesh
- Tailored finite point method based on exponential bases for convection-diffusion-reaction equation
- A High-Order Kernel-Free Boundary Integral Method for Incompressible Flow Equations in Two Space Dimensions
- A Cartesian Grid-Based Boundary Integral Method for an Elliptic Interface Problem on Closely Packed Cells
- A Kernel-Free Boundary Integral Method for Variable Coefficients Elliptic PDEs
- The optimization of methods of solving boundary value problems with a boundary layer
- Boundary Layers in Linear Elliptic Singular Perturbation Problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A Cartesian grid based tailored finite point method for reaction-diffusion equation on complex domains
