A dimension splitting method for time dependent PDEs on irregular domains
type: Item
instance of: scholarly article
title: A dimension splitting method for time dependent PDEs on irregular domains
zbMATH Open document ID: 1504.65183
author: Han Zhou
author: Wenjun Ying
published in: Journal of Scientific Computing
publication date: 2022-12-23T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 7637340
zbMATH Keywords: time dependent PDEs
zbMATH Keywords: time splitting method
zbMATH Keywords: Cartesian grid
zbMATH Keywords: ADI method
zbMATH Keywords: LOD method
zbMATH Keywords: kernel-free boundary integral method
describes a project that uses: FEAPpv
describes a project that uses: GitHub
MaRDI profile type: Publication
full work available at URL: s10915-022-02066-5
OpenAlex ID: W4313308048
cites work: A Grid-Based Boundary Integral Method for Elliptic Problems in Three Dimensions
cites work: A simple level set method for solving Stefan problems
cites work: The finite element methods for elliptic problems.
cites work: Alternating Direction Methods for Parabolic Systems in m Space Variables
cites work: On the Numerical Integration of $\frac{\partial ^2 u}{\partial x^2 } + \frac{\partial ^2 u}{\partial y^2 } = \frac{\partial u}{\partial t}$ by Implicit Methods
cites work: Difference schemes with a “disintegrating” operator for multidimensional problems
cites work: Operator splitting methods for wave equations
cites work: Q4421310
cites work: High-order schemes for acoustic waveform simulation
cites work: Linear integral equations
cites work: The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
cites work: Q4325934
cites work: A Fast Iterative Algorithm for Elliptic Interface Problems
cites work: A dimension by dimension splitting immersed interface method for heat conduction equation with interfaces
cites work: Efficient high-order immersed interface methods for heat equations with interfaces
cites work: The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
cites work: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
cites work: The Numerical Solution of Parabolic and Elliptic Differential Equations
cites work: The immersed boundary method
cites work: Q4414854
cites work: On the Construction and Comparison of Difference Schemes
cites work: A spatially second order alternating direction implicit (ADI) method for solving three dimensional parabolic interface problems
cites work: A fourth-order kernel-free boundary integral method for the modified Helmholtz equation
cites work: A fourth-order kernel-free boundary integral method for implicitly defined surfaces in three space dimensions
cites work: A High-Order Kernel-Free Boundary Integral Method for Incompressible Flow Equations in Two Space Dimensions
cites work: A high-order kernel-free boundary integral method for the biharmonic equation on irregular domains
cites work: On the convergence of the splitting method for the heat conductivity equation with variable coefficients
cites work: A Cartesian Grid-Based Boundary Integral Method for an Elliptic Interface Problem on Closely Packed Cells
cites work: A kernel-free boundary integral method for elliptic boundary value problems
cites work: A kernel-free boundary integral method for implicitly defined surfaces
cites work: A Kernel-Free Boundary Integral Method for Variable Coefficients Elliptic PDEs
cites work: A matched alternating direction implicit (ADI) method for solving the heat equation with interfaces
cites work: High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
cites work: Q5177422
DOI: 10.1007/S10915-022-02066-5
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description: scientific article; zbMATH DE number 7637340