The conventional finite element method dealing with stochastic problems is based on series expansion of stochastic quantities with respect to basic stochastic deviations, by means of either Taylor expansion, perturbation technique or Neumann expansion. The first-order approximation of the mean respo
A stochastic finite element method for real eigenvalue problems
β Scribed by W.Q. Zhu; W.Q. Wu
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 421 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0266-8920
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## Abstract We consider a Maxwellβeigenvalue problem on a brick. As is well known, we need to pay special attention to avoiding the soβcalled spurious eigenmodes. We extend the results obtained in (__SIAM J. Numer. Anal.__ 2000; **38**:580β607) to include the use of numerical quadrature. For simpli
The Method of Weighted Residuals (MWR) is a powerful tool in solving boundary value problems. A particular MWR is the "collocation method". The main theme of this paper is eigenvalue calculations with the collocation method. The bench mark problems considered are second andfourth order dtflerential