Variational principles for advection-diffusion problems

DOI10.1016/j.camwa.2017.09.023zbMath1409.76121OpenAlexW2765583773MaRDI QIDQ1732453

J. F. G. Auchmuty

Publication date: 25 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.09.023

zbMATH Keywords

variational principlesmixed boundary conditionsadvection-diffusion equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Variational methods applied to problems in fluid mechanics (76M30)

Cites Work

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• Bases and comparison results for linear elliptic eigenproblems
• A variational formulation for convection-diffusion problems
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Steklov Eigenproblems and the Representation of Solutions of Elliptic Boundary Value Problems
• Variational Analysis in Sobolev andBVSpaces
• Finite energy solutions of self-adjoint elliptic mixed boundary value problems
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)

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