On MultiScale ADI Methods for Parabolic PDEs with a Discontinuous Coefficient

DOI10.1137/17M1151985zbMath1412.65083OpenAlexW2897973899WikidataQ129066223 ScholiaQ129066223MaRDI QIDQ4627429

Xiaohong Chen, Zhilin Li, Zheng-Ru Zhang

Publication date: 11 March 2019

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1151985

zbMATH Keywords

stabilityjump conditionsmultiscalediscontinuous coefficientinterface problemsADI methodaugmented variable

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) 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)

Related Items (6)

An augmented immersed finite element method for variable coefficient elliptic interface problems in two and three dimensions ⋮ A fast sine transform accelerated high-order finite difference method for parabolic problems over irregular domains ⋮ A reduced-order immersed interface method based on POD basis for parabolic interface problem ⋮ Alternating direction ghost-fluid methods for solving the heat equation with interfaces ⋮ An ADI Crank-Nicolson orthogonal spline collocation method for 2D parabolic problems with an interface ⋮ A multigrid based finite difference method for solving parabolic interface problem

Uses Software

• IIMPACK

Cites Work

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• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• A Fast Iterative Algorithm for Elliptic Interface Problems
• Compact ADI method for solving parabolic differential equations
• Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients
• The Immersed Interface Method

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