Dual extremum principles and error bounds for a class of boundary value problems

DOI10.1016/0022-247X(73)90249-7zbMath0251.35049MaRDI QIDQ2556993

A. M. Arthurs

Publication date: 1973

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Heat equation (35K05) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (18)

Complementary variational principles with fractional derivatives ⋮ Complementary variational principles for diffusion problems with Michaelis-Menten kinetics ⋮ Complementary variational principles for a class of biharmonic problems ⋮ Error bounds via a new extremum variational principle, mean square residual and weighted mean square residual ⋮ Extremum principles for some nonlinear heat transfer problems ⋮ Complementary extremum principles for a nonlinear model of heat conduction in the human head ⋮ Variational principles for nonpotential operators ⋮ Variational principles for a class of boundary value problems ⋮ Complementary extremality ⋮ Zur Variationsformulierung nichtlinearer Randwertprobleme ⋮ Variational principles for complex equations ⋮ Variational principles for linear mixed boundary value problems ⋮ Geometrical formulation of Hamiltonian boundary value problems ⋮ On complementary extremum principles ⋮ Contribution to error estimate ⋮ An extremum variational principle for classical Hamiltonian systems ⋮ Error bounds via a new variational principle for classical Hamiltonian systems ⋮ An extremum variational principle for a class of boundary value problems

Cites Work

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• On complementary variational principles
• Application of Rall's theorem to classical elastodynamics
• Error bounds and variational methods for nonlinear boundary value problems
• A note on Komkov's class of boundary value problems and associated variational principles
• Canonical approach to biharmonic variational problems
• Error Bounds and Variational Methods for Non-linear Differential and Integral Equations

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