A stable domain decomposition technique for advection-diffusion problems

DOI10.1007/s10915-018-0722-xzbMath1407.65174OpenAlexW2799336683WikidataQ129882716 ScholiaQ129882716MaRDI QIDQ1632193

Jan Nordström, Oskar Ålund

Publication date: 13 December 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0722-x

zbMATH Keywords

stabilitydomain decompositionfinite difference methodspartial differential equationssummation-by-parts

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (2)

Summation-by-Parts Operators for General Function Spaces ⋮ On an eigenvalue property of summation-by-parts operators

Cites Work

• Summation-by-parts in time
• Review of summation-by-parts schemes for initial-boundary-value problems
• The SBP-SAT technique for initial value problems
• Block Kronecker products and the vecb operator
• On the order of accuracy for difference approximations of initial-boundary value problems
• A stable and conservative interface treatment of arbitrary spatial accuracy
• Summation by parts operators for finite difference approximations of second derivatives
• Numerical models for differential problems
• Stable and Accurate Interpolation Operators for High-Order Multiblock Finite Difference Methods
• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• Domain Decomposition Algorithms with Small Overlap
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