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

Lecturer:

Pavel Burda (gar.)

Tutor:

Pavel Burda (gar.)

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:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue	roomKN:D-105 Burda P. 09:00–12:15 (lecture parallel1) Karlovo nám. konzultační místnost KD105
Fri
Thu
Fri

The course is a part of the following study plans: