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Seminar in SS 2005:
Absorbing
Boundary Conditions
Lecturer |
: |
Prof. R. Hiptmair |
Room |
: |
HG D. 5.2 |
Time |
: |
Di 10:00-12:00 |
Start date |
: |
12.4.2004
|
Prep meeting |
: |
Tue 29.3.2004, 10:15, HG D 5.2 |
Language |
: |
English
|
Contact |
: |
R.
Hiptmair, hiptmair@sam.math.ethz.ch,
S. Tordeux, sebastien.tordeux@math.ethz.ch |
Prerequisites |
: |
Familiarity
with calculus and numerical treatment of PDEs |
Description:
Volume based discretization schemes (finite elements and finite
differences) can only be used to deal with boundary value problems
posed on unbounded domains, when artificial truncation of the
domain is employed. At the new artificial boundary boundary conditions
have to employed that represent the impact of the neglected
exterior part of the domain. Various approaches to the construction
of such boundary conditions have been devised:
- Generalized impedance boundary conditions
- Boundary conditions based on eigendecompositions
- Fast convolution methods
- Boundary integral equations
- Perfectly matched layers (PML) =
focus of seminar
Talks and dates:
- 29.3.2005: Preparatory meeting
- 3.5.2005: Alexander Thomann ``Introduction to PML in time
domain'' [4, Ch. 1& 2], Slides
- 10.5.2005: Mark Fischer ``Construction of PML'' [8,9], Slides
- 17.5.2005: Marc Reinhardt ``Analysis of PML for Helmholtz
equation'' [5,6], Slides
- 31.5.2005: Norbert Stoop ``Optimization of PML'' [3], Slides
- 7.6.2005: Oliver Pfeifer ``Mathematical properties of PML in time
domain'' [4, Ch. 3], Slides
- 14.6.2005: Krish ``PML ABCs for finite volume methods on
triangular meshes", Slides
- 21.6.2005: Manuel Largo ''Adaptive PML'' [2], Slides
- 28.6.2005: Paolo Corti ''Local approximate absorbing boundary
conditions'' [1], cancelled
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Prof. Ralf Hiptmair
2005-03-29