Course detail
Numerical Methods III
FSI-SN3 Acad. year: 2025/2026 Winter semester
Supervisor
Department
Learning outcomes of the course unit
Prerequisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Course-unit credit is awarded on the following conditions: elaboration of assignments.
The exam is oral. Its aim is to verify the student's theoretical knowledge and his/her ability to apply the acquired knowledge independently.
Language of instruction
Czech
Aims
Specification of controlled education, way of implementation and compensation for absences
The study programmes with the given course
Programme N-MAI-P: Mathematical Engineering, Master's
branch ---: no specialisation, 5 credits, compulsory
Type of course unit
Lecture
26 hours, optionally
Syllabus
The Finite Element Method in 1D:
- Variational Formulation
- Finite Element Approximation
- Derivation of a Linear System of Equations
- Computer Implementation
- Galerkin Orthogonality, Best Approximation Property
- A Priori Error Estimate
- A Posteriori Error Estimate & Adaptive Finite Element Methods
The Finite Element Method in 2D:
- Variational Formulation
- Finite Element Approximation
- Derivation of a Linear System of Equations
- The Isoparametric Mapping
- Different Types of Finite Elements
- Computer Implementation (Data Structuring, Mesh Generation)
The Eigenvalue problems
Time-Dependant Problems
Computer-assisted exercise
13 hours, compulsory
Syllabus
Seminars will follow the lectures. Students work on assigned projects under the guidance of an instructor.