We investigate the use of least-squares methods to approximate the Helmholtz equation. The basis used in the discrete method consists of st lutions of the Helmholtz equation (either consisting of plane waves or Bessel functions) on each element of a finite element grid. Unlike p~evious methods of th
A least-squares finite element method for the Helmholtz equation
β Scribed by C.L. Chang
- Book ID
- 107876195
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 447 KB
- Volume
- 83
- Category
- Article
- ISSN
- 0045-7825
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π SIMILAR VOLUMES
An application of least squares finite element method (LSFEM) to wave scattering problems governed by the one-dimensional Helmholtz equation is presented. Boundary conditions are included in the variational formulation following Cadenas and Villamizar's previous paper in Cadenas and Villamizar [C. C
Tre tz-type elements, or T-elements, are ΓΏnite elements the internal ΓΏeld of which fulΓΏlls the governing di erential equations of the problem a priori whereas the prescribed boundary conditions and the interelement continuity must be enforced by some suitable method. In this paper, the relevant matc