In this chapter, we will first develop the machinery associated with variational principles and the Rayleigh-Ritz procedure. This will be used to derive the finite element method for a simple one-dimensional Laplace problem. FEM algorithms will then be developed for two-dimensional (2-D) Helmholtz problems, including modal eigenvalue problems and radiation and scattering. FEM will then be combined with a surface integral equation to develop the FEM-BEM algorithm.
Finite Element Method, Page 1 of 2
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