Numerical Solution of Partial Differential Equations, Fundamentals of Finite Element Method
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 timetable has been prepared for this course
 The course is a part of the following study plans: