Lehrinhalte
[list]
[*]Fundamental concepts of discretization and approximation
[*]Mathematical modelling with partial differential equations (heat conduction, elasticity, fluid mechanics, electro-magnetics)
[*]Strong and weak forms of PDEs (variational principle, principle of virtual work, Ritz & Galerkin methods, method of weighted residuals)
[*]Isoparametric element formulations, basis functions and coordinate transformations
[*]Numerical integration and assembly
[*]Solution of sparse linear systems of equations
[*]Linear continuum elements in structural mechanics (rod, beam, 2D and 3D elements)
[*]Boundary conditions (Dirichlet, von Neumann and mixed types)
[*]Mathematical foundations of FEM and convergence analysis
[*]Adativity (h- & p-refinement), error estimation and adaptivity
[*]Locking phenomena, mixed methods and reduced integration
[/list]
Literatur
[list]
[*]Lecture notes and script
[*]K.-J. Bathe: Finite Element Procedures. K.J. Bathe, Watertown, MA, 2nd edition, 2014
[*]B. Szabó & I. Babuka: Introduction to Finite Element Analysis: Formulation, Verification and Validation. John Wiley & Sons, 2011
[*]T.J.R. Hughes: The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. Dover Publications, 2012
[/list]
Voraussetzungen
Basic knowledge in Technical Mechanics, Numerical Mathematics and Numerical Methods recommended
Erwartete Teilnehmerzahl
40
Further Grading Information
The lecture is conducted in English language and lecture materials are in English. Additionally, summaries in German language will be provided during class and a lecture script in German is provided.
In addition to the lectures a recitation is offered, which includes computer tutorials with MATLAB and finite element software.
[list]
[*]Fundamental concepts of discretization and approximation
[*]Mathematical modelling with partial differential equations (heat conduction, elasticity, fluid mechanics, electro-magnetics)
[*]Strong and weak forms of PDEs (variational principle, principle of virtual work, Ritz & Galerkin methods, method of weighted residuals)
[*]Isoparametric element formulations, basis functions and coordinate transformations
[*]Numerical integration and assembly
[*]Solution of sparse linear systems of equations
[*]Linear continuum elements in structural mechanics (rod, beam, 2D and 3D elements)
[*]Boundary conditions (Dirichlet, von Neumann and mixed types)
[*]Mathematical foundations of FEM and convergence analysis
[*]Adativity (h- & p-refinement), error estimation and adaptivity
[*]Locking phenomena, mixed methods and reduced integration
[/list]
Literatur
[list]
[*]Lecture notes and script
[*]K.-J. Bathe: Finite Element Procedures. K.J. Bathe, Watertown, MA, 2nd edition, 2014
[*]B. Szabó & I. Babuka: Introduction to Finite Element Analysis: Formulation, Verification and Validation. John Wiley & Sons, 2011
[*]T.J.R. Hughes: The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. Dover Publications, 2012
[/list]
Voraussetzungen
Basic knowledge in Technical Mechanics, Numerical Mathematics and Numerical Methods recommended
Erwartete Teilnehmerzahl
40
Further Grading Information
The lecture is conducted in English language and lecture materials are in English. Additionally, summaries in German language will be provided during class and a lecture script in German is provided.
In addition to the lectures a recitation is offered, which includes computer tutorials with MATLAB and finite element software.
- Lehrende: Markus Lazanowski
- Lehrende: Oliver Weeger
Semester: Inverno 2019/20