K. Rektorys: Variational Methods in Mathematics, Science and Engineering. (Translation from Czech). Dortrecht—London—Boston, Reidel Publ. Co, 1st edition 1977,
2nd edition 1979. 566 pages
J. Nečas, I. Hlaváček: Mathematical Theory of Elastic and Elasto-Plastic Bodies: An. Introduction. Elsevier, Amsterdam-Oxford-New York, 1981; (Translation from Czech).
R. D. Cook: Finite element modelling for stress analysis, J. Wiley, New York, 1995.
Mathematical Modelling and FEM
| Language of instruction | angličtina, čeština |
|---|---|
| Code | 470-6502 |
| Abbreviation | MMMKP |
| Course title | Mathematical Modelling and FEM |
| Coordinating department | Department of Applied Mathematics |
| Course coordinator | doc. Ing. Dalibor Lukáš, Ph.D. |
Summary
The lectures concern the boundary value problems arising in the mathematical modelling of
heat transfer, elasticity and other phenomena (diffusion, electric and magnetic fields, etc.).
The differential and variational formulations of these problems are derived and the numerical solution by the finite element method is considered in detail, including analysis of the discretization error. The lectures also touch the principles of proper use of mathematical models for solving engineering problems.
heat transfer, elasticity and other phenomena (diffusion, electric and magnetic fields, etc.).
The differential and variational formulations of these problems are derived and the numerical solution by the finite element method is considered in detail, including analysis of the discretization error. The lectures also touch the principles of proper use of mathematical models for solving engineering problems.
Literature
Advised literature
C. Johnson: Numerical solution of partial differential equations by the finite element method, Cambridge Univ. Press, 1995