Learning the method of boundary elements to solve engineer problems.
# | Title | Description | Hours |
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1 | Introduction | Introduction. Boundary Elements and Finite Elements. Historical development of the BEM. | 1Χ4=4 |
2 | The direct BEM for the Laplace and the Poisson equation | Preliminary Mathematical Concepts. The BEM for potential problems in two dimension. | 3Χ4=12 |
3 | Numerical Implementation of the ΒΕΜ | The BEM with constant boundary elements. Programming the method using Fortran or/and Μatlab. | 2Χ4=8 |
4 | Dual Reciprocity | The Dual Reciprocity Method. Domains with multiple boundaries. The method of subdomains. | 2Χ4=8 |
5 | Applications | Torsion of non-circular bars. Deflection of elastic membranes and simply supported plates. Heat transfer problems and Fluid flow problems. | 3Χ4=12 |
6 | The ΒΕΜ for nonhomogeneous bodies | Solutions of problems with unknown fundamental solutions. Applications. Potential problems to bodies with variable properties. | 2Χ4=8 |
After successful completion of the course, students will be able to: 1. understand the Boundary Element Method and its PC programming, 2. calculate real implementation cases using the relevant software codes.
Teaching methods | Lectures in class. Solve examples and problems in the classroom. |
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Teaching media | Presentations in the Table. Slides PowerPoint. Calculations on PC with software codes. |
Laboratories | An exemplary application to plates problems with boundary elements and finite element method. |
Computer and software use | Students solve the issues with the help of teachers using FORTRAN και MATLAB on PC. |
Problems - Applications | Yes |
Assignments (projects, reports) | Students are examined in solving engineering problems. |