Convergence of energy stable finite-difference schemes with interfaces

DOI10.1016/J.JCP.2020.110020OpenAlexW3109800837MaRDI QIDQ2120042

Magnus Svärd, Jan Nordström

Publication date: 31 March 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2020.110020

zbMATH Keywords

stabilitywell-posednessinterfaceconvergence ratefinite difference

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx) General higher-order partial differential equations and systems of higher-order partial differential equations (35Gxx)

Related Items (3)

Dual-pairing summation by parts finite difference methods for large scale elastic wave simulations in 3D complex geometries ⋮ A new variational discretization technique for initial value problems bypassing governing equations ⋮ A symmetry and Noether charge preserving discretization of initial value problems

Cites Work

• Review of summation-by-parts schemes for initial-boundary-value problems
• On the order of accuracy for difference approximations of initial-boundary value problems
• A stable and conservative interface treatment of arbitrary spatial accuracy
• On the convergence rates of energy-stable finite-difference schemes
• The Convergence Rate for Difference Approximations to General Mixed Initial-Boundary Value Problems
• The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
• On error bounds of finite difference approximations to partial differential equations. -- Temporal behavior and rate of convergence

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