Open AccessGeneral variational principles applicable to the hybrid element method
Author(s) -
Ismael Herrera
Publication year - 1977
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.74.7.2595
Subject(s) - elasticity (physics) , mathematics , element (criminal law) , variational principle , mathematical optimization , computer science , mathematical analysis , calculus (dental) , physics , thermodynamics , medicine , dentistry , political science , law
Functional valued operators are used to formulate diffraction problems in a general abstract form. Variational principles for this formulation are developed. They are then applied to derive results on the linearized theory of free surface flows previously reported. Applications are also made to potential theory and elasticity.