Study of the Laplacian eigenvalues of fractal sets
This thesis presents an example of known discretization methods for spectral problems in partial dierential equations and it is applied with some computations in planar domains with irregular (non-smooth) and self-similar boundary.
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| Tipo de recurso: | tesis de maestría |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/106756 |
| Acceso en línea: | https://hdl.handle.net/2117/106756 |
| Access Level: | acceso abierto |
| Palabra clave: | Difference equations, Partial--Numerical solutions Partial Differential Equations Fractal Sets Finite Element Methods Eigenvalue Problems Equacions diferencials parcials--solucions numèriques Classificació AMS::65 Numerical analysis::65N Partial differential equations, boundary value problems Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica |
| Sumario: | This thesis presents an example of known discretization methods for spectral problems in partial dierential equations and it is applied with some computations in planar domains with irregular (non-smooth) and self-similar boundary. |
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