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Optimal least-squares finite element method for elliptic problems
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Jiang, Bo-Nan Povinelli, Louis A. |
| Copyright Year | 1991 |
| Description | An optimal least squares finite element method is proposed for two dimensional and three dimensional elliptic problems and its advantages are discussed over the mixed Galerkin method and the usual least squares finite element method. In the usual least squares finite element method, the second order equation (-Delta x (Delta u) + u = f) is recast as a first order system (-Delta x p + u = f, Delta u - p = 0). The error analysis and numerical experiment show that, in this usual least squares finite element method, the rate of convergence for flux p is one order lower than optimal. In order to get an optimal least squares method, the irrotationality Delta x p = 0 should be included in the first order system. |
| File Size | 648613 |
| Page Count | 20 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19920006444 |
| Archival Resource Key | ark:/13960/t2m66ds0j |
| Language | English |
| Publisher Date | 1991-12-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Finite Element Method Galerkin Method Error Analysis Partial Differential Equations Least Squares Method Convergence Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
