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Multigrid solutions to quasi-elliptic schemes
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Taasan, S. Brandt, A. |
| Copyright Year | 1985 |
| Description | Quasi-elliptic schemes arise from central differencing or finite element discretization of elliptic systems with odd order derivatives on non-staggered grids. They are somewhat unstable and less accurate then corresponding staggered-grid schemes. When usual multigrid solvers are applied to them, the asymptotic algebraic convergence is necessarily slow. Nevertheless, it is shown by mode analyses and numerical experiments that the usual FMG algorithm is very efficient in solving quasi-elliptic equations to the level of truncation errors. Also, a new type of multigrid algorithm is presented, mode analyzed and tested, for which even the asymptotic algebraic convergence is fast. The essence of that algorithm is applicable to other kinds of problems, including highly indefinite ones. |
| File Size | 1004843 |
| Page Count | 24 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19860004486 |
| Archival Resource Key | ark:/13960/t3615x453 |
| Language | English |
| Publisher Date | 1985-05-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Elliptic Differential Equations Approximation Algorithms Truncation Errors Elliptic Functions Computational Grids Asymptotic Methods 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 |
