We have studied examples of random walk methods (RWM) applied to electric problems, solving the Laplace equation. Especially we did calculationswith digital pictures as domains, and evaluated an improvement in calculation speed for the random walk method. The latter was done by varying thestep length depending on the distance to boundaries and obstructions in thedomain. Statistical numerical experiments have been used to see if the improved method had an effect on the accuracy of the solution. The results inthis work have been compared with the finite element method (FEM) usingthe commercial software Comsol. We have looked at four different geometrieswith varying complexity with respect to inner boundary conditions.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:oru-106562 |
| Date | January 2023 |
| Creators | Broliden, Oscar |
| Publisher | Örebro universitet, Institutionen för naturvetenskap och teknik |
| 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 |
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