The Generalized Weighted Residual Method (GWRM) is a recently developed time- spectral method for parabolic or hyperbolic initial-value partial differential equations. In this paper, spatial subdomains, used in this method, are analyzed. Subdomains are used to enhance efficiency by dividing entire domains into smaller parts that can be independently solved for and then combined to get the final solution. An automatic grid mapping algorithm for spatial subdomains, called "Compressive Method", is presented and applied to Burgers' viscous equation. The error of the solution, as compared to the analytic solution, is compared for this compressive Method and the uniform grid case. Results show that accuracy can be gained at a small extra cost, using this compressive Method. Conclusions are that this adaptive algorithm shows great potential for further development.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:uu-328807 |
| Date | January 2017 |
| Creators | Gillgren, Andreas |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, info:eu-repo/semantics/bachelorThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | TVE-F ; 17032 |
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