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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Numerical Solution of Partial Differential Equations, Fundamentals of Finite Element Method

The course is not on the list Without time-table
Code Completion Credits Range
W01A008 ZK 60
Lecturer:
Tutor:
Supervisor:
Department of Technical Mathematics
Synopsis:

Finite difference method in partial differential equations. Variational formulation of boundary value problems in partial differential equations, weak solution, mathematical principles of the finite element method. FEM for elliptic, parabolic, hyperbolic problems. Examples in 1D, 2D.

Requirements:
Syllabus of lectures:

1 - 3. Principle properties of finite diference method in partial differential equations.

4 - 6. Variational formulation of boundary value problems for partial differential equations,

Weak solution, mathematical principles of the finite element Metod (FEM).

7 - 9. FEM for elliptic, parabolic and hyperbolic equations. Examples in 1D, 2D.

10 - 12. Algorithms in FEM. Examples for individual work.

13 - 14. FEM for nonlinear problems. Software for FEM. Show of applications of FEM.

Syllabus of tutorials:

1 - 3. Principle properties of finite diference method in partial differential equations.

4 - 6. Variational formulation of boundary value problems for partial differential equations,

Weak solution, mathematical principles of the finite element Metod (FEM).

7 - 9. FEM for elliptic, parabolic and hyperbolic equations. Examples in 1D, 2D.

10 - 12. Algorithms in FEM. Examples for individual work.

13 - 14. FEM for nonlinear problems. Software for FEM. Show of applications of FEM.

Study Objective:
Study materials:

C.Johnson: Numerical Solution of Partial Differential Equation by the Finite Element Method, Cambridge University Press, 1987

Note:
Further information:
No time-table has been prepared for this course
The course is a part of the following study plans:
Data valid to 2019-09-18
For updated information see http://bilakniha.cvut.cz/en/predmet10865602.html