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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024

Finite Elements method

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Code Completion Credits Range Language
D01MKP_EN ZK 2P English
Garant předmětu:
Aleš Nekvinda
Lecturer:
Aleš Nekvinda
Tutor:
Supervisor:
Department of Mathematics
Synopsis:

Hilbert's spaces

Bilinear forms and functionals

Quadratic functional, symmetry, positive definitness, theorem about the minimum and relation to the equation

Riesz's theorem and Lax-Milgram's theorem

Finite element method, convergence (generally for nonsymmetric operator) - Riesz‘s and Galerkin‘s method

It can converge slowly

Better regularity converges better

The least square method

Variational crimes

Selection of base functions: h-version, p-version, hp-version, hierarchical base, cascade

Linear system preparation

Methods of solution of the resulting systems

- direct procedures

- iterative procedures

- possibilities of preconditioning

Requirements:
Syllabus of lectures:
Syllabus of tutorials:
Study Objective:
Study materials:
Note:
Time-table for winter semester 2023/2024:
Time-table is not available yet
Time-table for summer semester 2023/2024:
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The course is a part of the following study plans:
Data valid to 2024-07-15
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