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Computational
Engineering (IV terms)
 1st
Term courses – compulsory hours
ECTS exam
C1
Continuum Mechanics
30 3 90
C2 The
Finite Element Method
30+30
6
120
C3
Fracture
Mechanics
30
3
90
C4
Programming
in Engineering
30+30 6
C6 Theory of
Plasticity
30
3
90
C7 Dynamics of Structure
30+30 6
120
300
30
C5 Numerical Methods
Lecturer:
Đ. Đorđević
Course Contents
Introduction to numerical methods used
for analyzing mechanical systems.
General principles of
numerical calculations, machine numbers,
error estimation, numerical stability.
Linear algebra:
Cholesky-decomposition, Gaussian elimination, LU-decomposition, QR-decomposition,
iterative methods, least squares problems. Iterative solution of large
systems of linear equations (conjugate gradients, the multigrid idea).
Standard
methods for ordinary differential equations
(single-step and multistep methods, explicit and implicit methods,
stiffness);
Basic
discretization schemes for partial differential equations
(finite differences vs. finite elements);
Grid generation
(structured grids,
unstructured grids, varying geometries).
Eigenvalue problem,
computation of eigenvectors.
Programming
numerical methods in
Fortran/Mathematica (MatLab)/Pascal/C++/Java (Free choice of language).
The lecture is supplemented by computer exercises
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