A multigrid based finite difference method for solving parabolic interface problem
DOI10.3934/era.2021031zbMath1481.65178OpenAlexW3156862488MaRDI QIDQ2055155
Publication date: 3 December 2021
Published in: Electronic Research Archive (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/era.2021031
Schur complementmultigrid methodgradient recoveryparabolic interface problemmatched interface and boundary (MIB)
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods for boundary value problems involving PDEs (65N06) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
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Cites Work
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- Finite-difference ghost-point multigrid methods on Cartesian grids for elliptic problems in arbitrary domains
- IIM-based ADI finite difference scheme for nonlinear convection-diffusion equations with interfaces
- A dimension by dimension splitting immersed interface method for heat conduction equation with interfaces
- MIB method for elliptic equations with multi-material interfaces
- A decomposed immersed interface method for variable coefficient elliptic equations with non-smooth and discontinuous solutions
- A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem
- FFT-based high order central difference schemes for three-dimensional Poisson's equation with various types of boundary conditions
- The immersed interface method for two-dimensional heat-diffusion equations with singular own sources
- Finite element methods for semilinear elliptic and parabolic interface problems
- Finite element methods and their convergence for elliptic and parabolic interface problems
- Robust multigrid methods for nonsmooth coefficient elliptic linear systems
- Second order finite-difference ghost-point multigrid methods for elliptic problems with discontinuous coefficients on an arbitrary interface
- Symmetric interior penalty Galerkin approaches for two-dimensional parabolic interface problems with low regularity solutions
- A spatially second order alternating direction implicit (ADI) method for solving three dimensional parabolic interface problems
- A matched Peaceman-Rachford ADI method for solving parabolic interface problems
- The immersed interface method for a nonlinear chemical diffusion equation with local sites of reactions
- High-order FDTD methods via derivative matching for Maxwell's equations with material interfaces
- A fourth order finite difference method for solving elliptic interface problems with the FFT acceleration
- Alternating direction ghost-fluid methods for solving the heat equation with interfaces
- An augmented matched interface and boundary (MIB) method for solving elliptic interface problem
- A matched alternating direction implicit (ADI) method for solving the heat equation with interfaces
- High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
- Efficient symmetric discretization for the Poisson, heat and Stefan-type problems with Robin boundary conditions
- An Immersed Interface Technique for the Numerical Solution of the Heat Equation on a Moving Domain
- The Immersed Interface Technique for Parabolic Problems with Mixed Boundary Conditions
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- 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
- Partially penalized immersed finite element methods for parabolic interface problems
- On MultiScale ADI Methods for Parabolic PDEs with a Discontinuous Coefficient
- New Geometric Immersed Interface Multigrid Solvers
- A Boundary Condition--Capturing Multigrid Approach to Irregular Boundary Problems
- The Immersed Interface/Multigrid Methods for Interface Problems
- The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions
- Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients
- Immersed Finite Element Method for Interface Problems with Algebraic Multigrid Solver
- Optimal Error Estimates for Linear Parabolic Problems with Discontinuous Coefficients
- Discontinuous Galerkin immersed finite element methods for parabolic interface problems
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