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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 | 2020/21 | |||||||||||||
| 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. | 1. Interior and exterior problems for the Laplace equation. 2. Fundamental solution for the Laplace operator. 3. Representation formulae of an harmonic function. 4. Integral equations on the boundary. 5. Direct and indirect methods. Analysis of the variational formulations. 6. Discretization. A priori error estimates. 7. Some practical considerations on the numerical solution of the discrete problem. |
| Other applications of the boundary element methods. | 1. The boundary element method in acoustics. Acoustic scattering problems and radiation problems in harmonic regime. 2. The boundary element method for the Stokes problem. 3. The boundary element method in elastostatics. |
| Introduction to the coupling of boundary elements and finite elements | 1. The method of Johnson and Nédelec. 2. The symmetric method of Costabel and Han. |
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