Boundary methods - Development of complete systems of solutions
Abstract
Reference is made to the studies by Joseph (1979) and Herrera and Spence (1981), in which it is shown that a general version of the separation of variables procedure yields biorthogonal systems that are c-complete. Simplicity, as seen in the case of plane waves (Sanchez-Sesma et al., 1982), is one of the convenient features of c-complete systems. Another is that the system can be applied to largea classes of regions and boundary conditions. A brief survey is given of the methods available for the construction fo c-complete systems. The treatment includes c-complete systems and Hilbert-spaces, changes of boundary conditions, change of region, the source method, separation of variables, and ad-hoc procedures.
- Publication:
-
Finite Element Flow Analysis
- Pub Date:
- 1982
- Bibcode:
- 1982fefa.proc..897H
- Keywords:
-
- Boundary Integral Method;
- Boundary Value Problems;
- Computational Fluid Dynamics;
- Fluid Mechanics;
- Biharmonic Equations;
- Boundary Conditions;
- Harmonic Functions;
- Hilbert Space;
- Orthogonality;
- Plane Waves;
- Variational Principles;
- Fluid Mechanics and Heat Transfer