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

DOI10.1016/j.camwa.2017.06.037zbMath1409.65059OpenAlexW2730591665MaRDI QIDQ1732481

Chuan Li, Zhihan Wei, Shan Zhao

Publication date: 25 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.06.037

zbMATH Keywords

parabolic interface problemmatched interface and boundary (MIB)Douglas-Rachford ADI schemematched alternating direction implicit (ADI) method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (10)

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 ⋮ A Discontinuous Galerkin Method by Patch Reconstruction for Elliptic Interface Problem on Unfitted Mesh ⋮ 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 ⋮ An augmented matched interface and boundary (MIB) method for solving elliptic interface problem ⋮ High-order ADI-FDTD schemes for Maxwell's equations with material interfaces in two dimensions ⋮ An unfitted finite element method by direct extension for elliptic problems on domains with curved boundaries and interfaces ⋮ A dimension splitting method for time dependent PDEs on irregular domains

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