The course will introduce students to the basic principles of formulation of boundary and initial value problems and mathematical derivation of the finite element method. An attention is also paid to the computer implementation and analysis of the accuracy of the method.
Theoretical foundations provide qualified assessment of the results obtained by the available software tools as well as a further development of the finite element methods.
K. Rektorys:. Variational Methods in Mathematics, Science and Engineering, D. Reidel Publ. Comp, NY 1975
C. Johnson: Numerical solution of partial differential equations by the finite element method, Cambridge Univ. Press, 1995