Learning the method of boundary elements to solve engineer problems.
|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.|
|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.|