A multigrid based finite difference method for solving parabolic interface problem (Q2055155)

scientific article; zbMATH DE number 7438924

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English	A multigrid based finite difference method for solving parabolic interface problem	scientific article; zbMATH DE number 7438924

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instance of

scholarly article

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title

A multigrid based finite difference method for solving parabolic interface problem (English)

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Electronic Research Archive

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publication date

3 December 2021

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zbMATH Keywords

parabolic interface problem

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matched interface and boundary (MIB)

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multigrid method

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Schur complement

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gradient recovery

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.3934/era.2021031

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cites work

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A decomposed immersed interface method for variable coefficient elliptic equations with non-smooth and discontinuous solutions

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An Immersed Interface Technique for the Numerical Solution of the Heat Equation on a Moving Domain

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The Immersed Interface Technique for Parabolic Problems with Mixed Boundary Conditions

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Robust multigrid methods for nonsmooth coefficient elliptic linear systems

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Finite element methods and their convergence for elliptic and parabolic interface problems

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Finite-difference ghost-point multigrid methods on Cartesian grids for elliptic problems in arbitrary domains

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Second order finite-difference ghost-point multigrid methods for elliptic problems with discontinuous coefficients on an arbitrary interface

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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

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Immersed Finite Element Method for Interface Problems with Algebraic Multigrid Solver

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An augmented matched interface and boundary (MIB) method for solving elliptic interface problem

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FFT-based high order central difference schemes for three-dimensional Poisson's equation with various types of boundary conditions

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A fourth order finite difference method for solving elliptic interface problems with the FFT acceleration

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A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem

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The immersed interface method for a nonlinear chemical diffusion equation with local sites of reactions

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The immersed interface method for two-dimensional heat-diffusion equations with singular own sources

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Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients

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Q4325934

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Alternating direction ghost-fluid methods for solving the heat equation with interfaces

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A matched Peaceman-Rachford ADI method for solving parabolic interface problems

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IIM-based ADI finite difference scheme for nonlinear convection-diffusion equations with interfaces

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A dimension by dimension splitting immersed interface method for heat conduction equation with interfaces

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The Numerical Solution of Parabolic and Elliptic Differential Equations

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Efficient symmetric discretization for the Poisson, heat and Stefan-type problems with Robin boundary conditions

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Optimal Error Estimates for Linear Parabolic Problems with Discontinuous Coefficients

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A Boundary Condition--Capturing Multigrid Approach to Irregular Boundary Problems

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A spatially second order alternating direction implicit (ADI) method for solving three dimensional parabolic interface problems

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The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions

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MIB method for elliptic equations with multi-material interfaces

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Discontinuous Galerkin immersed finite element methods for parabolic interface problems

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A matched alternating direction implicit (ADI) method for solving the heat equation with interfaces

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High-order FDTD methods via derivative matching for Maxwell's equations with material interfaces

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High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources

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Identifiers

zbMATH Open document ID

1481.65178

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2055155