Spectral representations, and approximations, of divergence-free vector fields

DOI10.1090/qam/1427zbMath1344.35088OpenAlexW2470920997MaRDI QIDQ5741508

Douglas R. Simpkins, J. F. G. Auchmuty

Publication date: 25 July 2016

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

Full work available at URL: https://doi.org/10.1090/qam/1427

zbMATH Keywords

spectral representationssolenoidal vector fieldflux boundary conditions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) General topics in linear spectral theory for PDEs (35P05) Spectral methods applied to problems in fluid mechanics (76M22) Approximations and expansions (41A99)

Related Items (4)

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Uses Software

• FreeFem++

Cites Work

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• Bases and comparison results for linear elliptic eigenproblems
• Steklov Eigenproblems and the Representation of Solutions of Elliptic Boundary Value Problems
• Spectral Characterization of the Trace Spaces ${H^s({\partial \Omega})}$
• Finite energy solutions of self-adjoint elliptic mixed boundary value problems
• New development in freefem++

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