Projection Methods in Field Computations
The objective of this chapter is to demonstrate, in a very basic way, how the finite element method and the integral equation method work to provide us with numerical solutions to linear field problems. These demonstrations are made in a very general way by the use of operators that represent the operations of differentiation and integration that are encountered in the equations that we solve.
KeywordsHilbert Space Finite Element Method Linear Space Orthogonal Projection Projection Method
Unable to display preview. Download preview PDF.
- 2.McDonald, B., Friedman, M., and Wexler, A., “Variational Solution of Integral Equations,” IEEE Transactions on Microwave Theory and Techniques,March 1974, Vol. MTT-22, No. 3.Google Scholar
- 3.Wexler, Alvin. Finite Elements for Technologists. Winnipeg: Electrical Engineering Department, University of Manitoba, 1974.Google Scholar
- 5.Milne, R. D., “Applied Functional Analysis.” Boston: Pitman Advanced Publishing Program, 1980.Google Scholar
- 6.Harrington, Roger, F. Field Computation by Moment Methods. New York: The Macmillan Company, 1968.Google Scholar
- 7.Nering, Evan D. Linear Algebra and Matrix Theory. New York: John Wiley and Sons, 1963.Google Scholar
- 8.Shilov, Georgi. Linear Spaces. Englewood Cliffs, N.J.: Prentice-Hall, Inc., 1961.Google Scholar