SoSe 18: Basismodul: Numerik III
Carsten Gräser
Zusätzl. Angaben / Voraussetzungen
Voraussetzungen
Prerequisites for this course are basic knowledge in calculus (Analysis I-III) and Numerical Analysis (Numerik I). Some knowledge in Functional Analysis will help a lot. <!-- This lecture will be accompanied by a seminar on "Finite Elements" and a Summerschool both held in block form, probabely in late September. -->
SchließenKommentar
Inhalt:
Mathematical modelling of spatial or spatial/temporal phenomena such as porous medium flow, solidification of melts, weather prediction, etc. typically leads to partial differential equations (pdes). After some remarks on the modelling with and classification of pdes, the course will concentrate on elliptic problems. Starting with a brief introduction to the classical theory (existence and uniqueness of solutions, Green's functions) and assiciated difference methods we will mainly focus on weak solutions and their approximation by finite element methods. Adaptivity and multigrid methods will be also discussed.
SchließenLiteraturhinweise
- F. John: Partial Differential Equations. Springer (1982)
- M. Renardy, R. C. Rogers: An introduction to partial differential equations, Springer, 2. Auflage (2004)
- A. Quarteroni, R. Sacco, F. Saleri: Numerische Mathematik 2. Springer (2002)
- D. Braess: Finite Elemente. Springer, 3. Auflage (2002)
- P. A. Raviart, J. M. Thomas: Introduction à l'analyse numérique des équations aux dérivées partielles, Dunod (1998)
27 Termine
Zusätzliche Termine
Fr, 05.10.2018 10:00 - 12:00Regelmäßige Termine der Lehrveranstaltung
Inhalt:
Mathematical modelling of spatial or spatial/temporal phenomena such as porous medium flow, solidification of melts, weather prediction, etc. typically leads to partial ... Lesen Sie weiter