On conservation and dual consistency for summation-by-parts based approximations of parabolic problems

DOI10.1016/J.JCP.2020.109282zbMath1436.65131OpenAlexW2978538402WikidataQ126289177 ScholiaQ126289177MaRDI QIDQ777516

Fatemeh Ghasemi, Jan Nordström

Publication date: 7 July 2020

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

Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-164558

zbMATH Keywords

parabolic problemsconservationsummation-by-partsweak interface conditionsdual consistent

Mathematics Subject Classification ID

Heat equation (35K05) Symmetries, invariants, etc. in context of PDEs (35B06) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (1)

Simultaneous approximation terms and functional accuracy for diffusion problems discretized with multidimensional summation-by-parts operators

Cites Work

• Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients
• Revisiting and extending interface penalties for multi-domain summation-by-parts operators
• Corrigendum to: ``On the relation between conservation and dual consistency for summation-by-parts schemes
• On the relation between conservation and dual consistency for summation-by-parts schemes
• Superconvergent functional output for time-dependent problems using finite differences on summation-by-parts form
• Stable and Accurate Interpolation Operators for High-Order Multiblock Finite Difference Methods
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

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