PIMS-Germany Workshop on Discretization of Variational Eigenvalue Problems

Recent years have seen intense development of discretization schemes for incompressible flow problems in two directions. On the one hand, pairs of discrete spaces with a commuting diagram property for the divergence operator have been developed, with the result that it is now possible to compute actually divergence free solutions with reasonable effort. In particular for high Reynolds number flow, this property is important, since the control of the divergence by the gradient is too weak. Alternatively, penalization of the divergence has been investigated thoroughly with the same goal of achieving better solutions for high Reynolds numbers. On the other hand, replacements for the pressure Poisson problem have been developed, allowing for much faster projection of approximate solutions into the divergence free subspace, in particular with high performance computing in mind. The study of stability of such flows and of critical modes requires the solution of nonsymmetric variational eigenvalue problems. Critical modes are characterized by eigenvalues with small real part, which again may suffer from spurious divergence. In order to approximate such eigenvalues, many flow problems must be solved iteratively, which brings fast solvers back into the game.

The goal of this workshop is convening top researchers in the fields of flow and eigenvalue problems in order to understand the interplay of the interacting components better and to profit from recent research of groups with different focus. Furthermore, its aim is intensifying cooperation between the members of PIMS and universities in Germany with a clear focus on common interest.

Schedule:

TBA

Confirmed Participants:

Sebastian Dominguez (SFU)

Christian Engwer (University of Münster)

Joscha Gedicke (University of Vienna) 

Bin Han (Unviersity of Alberta) 

Volker John (WIAS Berlin) 

Guido Kanschat (Heidelberg University 

Alexander Linke (WIAS Berlin)Nilima Nigam (SFU)

Volker Mehrmann(Technical University of Berlin)

Peter Minev (University of Alberta)

Mario Ohlberger (University of Münster) 

Robyn Reid (Portland State University)

Location:

University of Heidelberg