Artificial boundary conditions for diffusion equations: Numerical study

DOI10.1016/0377-0427(95)00140-9zbMath0873.65096OpenAlexW2071618161MaRDI QIDQ1919504

Eric Dubach

Publication date: 30 October 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00140-9

zbMATH Keywords

collocationadvection-diffusion equationartificial boundary conditions

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order parabolic equations (35K15)

Related Items (9)

A low-rank approach to the computation of path integrals ⋮ A continued-fraction approach for transient diffusion in unbounded medium ⋮ Perfectly matched layers for the heat and advection-diffusion equations ⋮ On the numerical solution of the heat equation. I: Fast solvers in free space ⋮ Discrete transparent boundary conditions for parabolic systems ⋮ A local high-order doubly asymptotic open boundary for diffusion in a semi-infinite layer ⋮ Discrete absorbing boundary conditions for Schrödinger-type equations. Practical implementation ⋮ Efficient thermal field computation in phase-field models ⋮ Construction, structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation.

Cites Work

• Unnamed Item
• Absorbing boundary conditions for diffusion equations
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Well-Posedness of One-Way Wave Equations and Absorbing Boundary Conditions

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