Università della Svizzera italiana

Geometry–aware finite element framework for multi–physics simulations : an algorithmic and software-centric perspective

Zulian, Patrick ; Krause, Rolf (Dir.)

Thèse de doctorat : Università della Svizzera italiana, 2017 ; 2017INFO006.

In finite element simulations, the handling of geometrical objects and their discrete representation is a critical aspect in both serial and parallel scientific software environments. The development of codes targeting such envinronments is subject to great development effort and man-hours invested. In this thesis we approach these issues from three fronts. First, stable and efficient ...

Università della Svizzera italiana

Domain decomposition preconditioning for the Helmholtz equation : a coarse space based on local Dirichlet-to-Neumann maps

Conen, Lea ; Krause, Rolf (Dir.)

Thèse de doctorat : Università della Svizzera italiana, 2015 ; 2015INFO001.

In this thesis, we present a two-level domain decomposition method for the iterative solution of the heterogeneous Helmholtz equation. The Helmholtz equation governs wave propagation and scattering phenomena arising in a wide range of engineering applications. Its discretization with piecewise linear finite elements results in typically large, ill-conditioned, indefinite, and non- Hermitian...

Università della Svizzera italiana

Coupling different discretizations for fluid structure interaction in a monolithic approach

Steiner, Johannes ; Krause, Rolf (Dir.)

Thèse de doctorat : Università della Svizzera italiana, 2014 ; 2014INFO010.

In this thesis we present a monolithic coupling approach for the simulation of phenomena involving interacting fluid and structure using different discretizations for the subproblems. For many applications in fluid dynamics, the Finite Volume method is the first choice in simulation science. Likewise, for the simulation of structural mechanics the Finite Element method is one of the most, if...