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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 | 2021/22 | |||||||||||||
| 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 and some preliminaries | 1. Introduction 2. Integral equations 3. Singular integrals 4. Fractional index Sobolev spaces |
| Potential problems | 1. The model problem 2. Fundamental solution for the Laplace operator 3. The transmission property 4. Jump relations 5. Boundary integral equations 6. The boundary element method 7. Indirect formulations 8. Implementation in MATLAB |
| Other applications of the boundary element methods | 1. Acoustics: the Helmholtz equation 2. The Stokes problem 3. Linear elastostatics |
| Introduction to the coupling of boundary elements and finite elements | 1. Introduction 2. The one integral equation method 3. The two integral equations methods 4. The uncoupling method |
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