Module Description

Module: Numerical Algorithms in Structural Mechanics

Courses:

TitleTypeHrs/WeekPeriod
Numerical Algorithms in Structural MechanicsLecture2Summer Semester
Numerical Algorithms in Structural MechanicsRecitation Section (small)2Summer Semester

Module Responsibility:

Prof. Alexander Düster

Admission Requirements:

None

Recommended Previous Knowledge:

Knowledge of partial differential equations is recommended.

Educational Objectives:

Professional Competence

Theoretical Knowledge

Students are able to
+ give an overview of the standard algorithms that are used in finite element programs.
+ explain the structure and algorithm of finite element programs.
+ specify problems of numerical algorithms, to identify them in a given situation and to explain their mathematical and computer science background.

Capabilities

Students are able to 
+ construct algorithms for given numerical methods.
+ select for a given problem of structural mechanics a suitable algorithm.
+ apply numerical algorithms to solve problems of structural mechanics.
+ implement algorithms in a high-level programming languate (here C++).
+ critically judge and verfiy numerical algorithms.

Personal Competence

Social Competence

Students are able to
+ solve problems in heterogeneous groups and to document the corresponding results.

Autonomy

Students are able to
+ acquire independently knowledge to solve complex problems.

ECTS-Credit Points Module:

6 ECTS

Examination:

Written exam

Workload in Hours:

Independent Study Time: 124, Study Time in Lecture: 56


Course: Numerical Algorithms in Structural Mechanics

Lecturer:

Alexander Düster

Language:

German

Period:

Summer Semester

Content:

1. Motivation
2. Basics of C++
3. Numerical integration
4. Solution of nonlinear problems
5. Solution of linear equation systems
6. Verification of numerical algorithms
7. Selected algorithms and data structures of a finite element code

Literature:

[1] D. Yang, C++ and object-oriented numeric computing, Springer, 2001.
[2] K.-J. Bathe, Finite-Elemente-Methoden, Springer, 2002.