Loading...
Please wait, while we are loading the content...
A Hybrid Meshless-Collocation / Spectral-Element Method for Elliptic Partial Differential Equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Blakely, Christopher D. |
| Abstract | We present a hybrid numerical technique that couples spectral element approximation methods with meshless collocation methods for use in solving elliptic boundary value partial differential equations. After briefly reviewing the empirical Backus-Gilbert meshless collocation method by Blakely in [4], we introduce a domain decomposition procedure which effectively couples nodal spectral element approximations with the meshless collocation method. This domain decomposition approach is an adaptation of the three-field variational formulation by Brezzi et al. [6] which uses two additional functional spaces along the interface between the different approximations. Sufficient and necessary conditions for the hybrid numerical approach to yield stable approximations will be discussed followed by numerical examples using the Helmholtz equation and different choices of discrete three-field spaces. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.cscamm.umd.edu/publications/HybridFinal_CS-06-15.pdf |
| Alternate Webpage(s) | http://www2.cscamm.umd.edu/publications/HybridFinal_CS-06-15.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
