Functional Analysis Derivation and Generalization of Hybrid Variational Methods.
Final rept. 15 Nov 72-14 Nov 73,
NAPLES UNIV (ITALY) ISTITUTO DI AERODINAMICA
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By means of a Hilbert space functional approach the paper presents a unified derivation of variational formulations for boundary value problems which on one-hand leads to already known functionals such as the hybrid ones, used in finite elements works and, on the other hand, affords the obtainment of new variational functionals which may form the basis for the development of new approximating techniques. Although the presentation of the method is carried out with specific reference to the Poisson equation, the general framework of its derivation is such that it can be extended to problems involving formally self-adjoint operators of higher order.
- Theoretical Mathematics