| Sommersemester 2009 | Sommersemester 2010 |
Dienstag, 27.10.2009
|
K1 - Konferenz-/Seminarsaal 1, Erwin-Rommel-Str. (Hörsaalgebäude) 14 Uhr s.t. |
Rückfragen |
H. Garcke, Regensburg: »The Stefan Problem with anisotropic Gibbs-Thomson law: Analysis and Numerical Computations«
Dienstag, 03.11.2009
|
Kleiner Hörsaal, Math. Inst., Bismarckstr. 1½ 17 Uhr c.t. |
Rückfragen |
Gerald Teschl, Wien: »Nonlinear steepest decent on one foot«
Solitons are well-known to be the stable part of short-range perturbations of completely integrable wave equations. In this lecture I want to review how this can be proven using the nonlinear steepest decent approach for oscillatory Riemann-Hilbert problems developed by Deift and Zhou based on earlier work of Manakov and Its. In the classical case, one deals with short-range perturbations of the constant solution. Replacing the constant by a periodic solution brings geometry into the game and exhibits new phenomena.
Dienstag, 17.11.2009
|
Kleiner Hoersaal, Erlangen , Bismarckstr. 1½ 17 Uhr s.t., Tee: 16:45 |
Rückfragen |
H.-D. Alber, Darmstadt: »New development in the regularity theory for the equations of viscoelasticity«
New developments in the regularity theory for the equations of viscoelasticity Material behavior is called inelastic, or, with almost equivalent meaning, plastic or viscoelastic, if the stress depends on the time history of the strain. Mathematical investigations of models for viscoelastic materials where mostly concentrated on the Prandtl,Reuss model. But even for the Prandtl-Reuss law, little was known about the regularity of the solution. For the time dependent problem it was essentially only known that the stress field is locally in $H 1$. This result was proeved in [2]. Though up to know no results exist on the boundary regularity of solutions for the Prandtl-Reuss law, progress has been made recently by several authors in the investigation of the boundary regularity for less singular models. We shall first introduce these models in a formulation based on thermodynamics, explain the relation to the Prandtl-Reuss law, and discuss the results on boundary regularity.
Dienstag, 15.12.2009
|
K1 - Konferenz-/Seminarsaal 1, Erwin-Rommel-Str. (Hörsaalgebäude) 14 Uhr s.t. |
Rückfragen |
P. Steinmann, Erlangen: »t.b.a.«
|
Kleiner Hörsaal, Math. Inst., Bismarckstr. 1½ 17 Uhr c.t. |
Rückfragen |
S. Nazarov, St. Petersburg, Russland: »Trapped modes in cranked and branched waveguides«
Dienstag, 19.01.2010
|
K1 - Konferenz-/Seminarsaal 1, Erwin-Rommel-Str. (Hörsaalgebäude) 14 Uhr s.t. |
Rückfragen |
C.-J. Heine, Freiburg: »Unfitted Finite Elements for Incompressible Free Boundary Flow«
|
Kleiner Hörsaal, Math. Inst., Bismarckstr. 1½ 17 Uhr c.t. |
Rückfragen |
Erwin Bolthausen, Zürich: »On the TAP equations in spin glass theory«
Dienstag, 02.02.2010
|
K1 - Konferenz-/Seminarsaal 1, Erwin-Rommel-Str. (Hörsaalgebäude) 14 Uhr s.t. |
Rückfragen |
P. Knobloch, Prag: »A new variant of the local projection stabilization for convection-diffusion-reaction equations«
We introduce a new variant of the local projection stabilization for scalar steady convection-diffusion-reaction equations which allows to use local projection spaces defined on overlapping sets. This enables to define the local projection method without the need of a mesh refinement or an enrichment of the finite element space and increases the robustness of the local projection method with respect to the choice of the stabilization parameter. The stabilization term is slightly modified, which leads to an optimal estimate of the consistency error even if the stabilization parameters scale correctly with respect to convection, diffusion and mesh width. We prove that the bilinear form corresponding to the method satisfies an inf-sup condition with respect to the SUPG norm and establish an optimal error estimate in this norm. Moreover, we show that approximation of exponential boundary layers can be significantly improved by increasing the polynomial degree of the approximation on elements of the triangulation at an outflow boundary. The theoretical considerations are illustrated by numerical results.