Course Contents
[list]
[*]Fundamentals of the Finite Element Method: weighted residuals, projection methods, variational formulations, weak formulations; Finite elements: definitions, classification, first order Whitney element complex, higher order elements; convergence and precision;
[*]Implementation details: data structures, matrix assembly, postprocessing of the solution;
[*]FEM application to electromagnetic problems: electrostatics, magnetostatics, stationary currents, quasistatics, wave propagation.
[/list]
Literature
[list]
[*]Lecture slides.
[*]Willi Törnig, Michael Gipser, Bernhard Kaspar. Numerische Lösung von partiellen Differentialgleichungen der Technik: Differenzenverfahren, Finite Elemente und die Behandlung großer Gleichungssysteme. Teubner, 1991
[*]Rolf Steinbuch. Finite Elemente - Ein Einstieg. Springer, 1998.
[*]Alain Bossavit. Computational electromagnetism: variational formulations, complementarity, edge elements. Academic Press, 1997
[*]Klaus Knothe, Heribert Wessels. Finite Elemente: Eine Einführung für Ingenieure (3. Aufl.). Springer, 1999.
[*]P. P. Silvester, R. L. Ferrari. Finite Elements for Electrical Engineers, Cambridge Universtity Press, 1991
[*]O. C. Zienkiewicz, R. L. Taylor. The finite element method (4. ed.). McGraw-Hill, 1989
[/list]
Preconditions
Maxwells equations, infinitesimal calculus, vector calculus. Basics of differential equations and linear algebra.
[list]
[*]Fundamentals of the Finite Element Method: weighted residuals, projection methods, variational formulations, weak formulations; Finite elements: definitions, classification, first order Whitney element complex, higher order elements; convergence and precision;
[*]Implementation details: data structures, matrix assembly, postprocessing of the solution;
[*]FEM application to electromagnetic problems: electrostatics, magnetostatics, stationary currents, quasistatics, wave propagation.
[/list]
Literature
[list]
[*]Lecture slides.
[*]Willi Törnig, Michael Gipser, Bernhard Kaspar. Numerische Lösung von partiellen Differentialgleichungen der Technik: Differenzenverfahren, Finite Elemente und die Behandlung großer Gleichungssysteme. Teubner, 1991
[*]Rolf Steinbuch. Finite Elemente - Ein Einstieg. Springer, 1998.
[*]Alain Bossavit. Computational electromagnetism: variational formulations, complementarity, edge elements. Academic Press, 1997
[*]Klaus Knothe, Heribert Wessels. Finite Elemente: Eine Einführung für Ingenieure (3. Aufl.). Springer, 1999.
[*]P. P. Silvester, R. L. Ferrari. Finite Elements for Electrical Engineers, Cambridge Universtity Press, 1991
[*]O. C. Zienkiewicz, R. L. Taylor. The finite element method (4. ed.). McGraw-Hill, 1989
[/list]
Preconditions
Maxwells equations, infinitesimal calculus, vector calculus. Basics of differential equations and linear algebra.
- Lehrende: Irina Munteanu
Semester: ST 2023