Course detail
FEM in Engineering Computations
FSI-9MKP Acad. year: 2025/2026 Winter semester
The course presents the Finite Element Method on the advanced level corresponding to a skilled user, who has the capability of an individual creative work with FEM. The relation between theory and practical FEM programming is explained. Application of the FEM in the areas of engineering analysis connected to the topics of PhD dissertations is presented in theory and practice.
Language of instruction
Czech
Supervisor
Entry knowledge
Matrix notation, linear algebra, function of one and more variables, calculus, differential equations, elementary dynamics, elasticity, thermal conduction and fluid flow problems.
Rules for evaluation and completion of the course
Final evaluation is based on the ability of active work with a selected FEM system, which is proved by individual preparation and presentation of a semestral project.
Active participation in the course is controlled individually according to the progression of the semestral project.
Aims
Aim of the course is to gain an advaced level of knowledge of the Finite Element Method, including the understanding of algorithm and procedures of the FEM. Student gains practical competences targeted to the area of his/her topic of dissertation and a general view of the possibilities of commercial FE packages.
Students learn how to apply the FEM theory to problems connected with his/her dissetation, including the programming of user subroutines which enhance the capability of commercial FEM packages.
The study programmes with the given course
Programme D-ENE-P: Power Engineering, Doctoral, recommended course
Programme D-IME-P: Applied Mechanics, Doctoral, recommended course
Programme D-APM-P: Applied Mathematics, Doctoral, recommended course
Type of course unit
Lecture
20 hours, optionally
Syllabus
1. Introduction to FEM theory, algorithm, discretisation
2. FEM algorithm, element matrices, assembly of global matrices, program structure
3. Effective methods of solution of large systems of equations
4. Basic element types and their element matrices
5. Isoparametric formulation of elements
6. Thin-walled elements in bending, hermitean shape functions
7. User subroutines and macro in ANSYS and ABAQUS
8. Convergence, compatibility, hierarchical and adaptive algorithms
9. FEM in dynamics, heat conduction, flow problems, transient analysis
10.Explicit solution of transient problems, nonlinear problems
11.FEM application in the area of PhD dissertation, individual work, consultation
12.FEM application in the area of PhD dissertation, individual work, consultation
13.FEM application in the area of PhD dissertation, individual work, consultation