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Teaching GuideTerm Faculty of Computer Science |
| Mestrado Universitario en Matemática Industrial (2013) |
 Subjects |
| Boundary element methods |
| Contents |
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| Identifying Data | 2019/20 | |||||||||||||
| 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 | Optional | 3 | ||||||||||
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| Topic | Sub-topic |
| Introduction to the boundary element method. Potential problems. | - Interior and exterior problems for the Laplace equation. - Fundamental solution for the Laplace operator. - Representation formulae of an harmonic function. - Integral equations on the boundary. - Direct and indirect methods. Analysis of the variational formulations. - Discretization. A priori error estimates. - Some practical considerations on the numerical solution of the discrete problem. |
| Boundary element methods 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 formulae. Single and double layer potentials. - Boundary integral equations. - Direct and indirect methods. - Discretization of the equations. - Implementation. |
| Introduction to the coupling of boundary elements and finite elements |
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