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Guía DocenteCurso Facultade de Informática |
| Mestrado Universitario en Matemática Industrial (2013) |
 Subjects |
| Boundary element methods |
| Contents |
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| Identifying Data | 2014/15 | |||||||||||||
| Subject | Boundary element methods | Code | 614855230 | |||||||||||
| Study programme |
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| Descriptors | Cycle | Period | Year | Type | Credits | |||||||||
| Official Master's Degree | 2nd four-month period |
First | Optativa | 3 | ||||||||||
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| Topic | Sub-topic |
| The boundary element method for potential problems | - Interior and exterior problems for the Laplace equation - Fundamental solution of the Laplacian - Representation formula of a harmonic function - Derivation of the boundary integral equations - Direct and indirect methods. Analysis of the variational formulations - Discretization. A priori error estimates - Practical considerations of the numerical solution of the discrete problem |
| The boundary element method in acoustics | - The wave equation and the Helmholtz equation - Acoustic scattering and radiation problems in harmonic regime - Fundamental solutions of the Helmholtz operator - Green's representation formula. Single and double layer potentials - Boundary integral equations - Direct and indirect methods - Discretization - Implementation |
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