MHPC Workshop on High Performance Computing

Session

HPC in Mathematics

Feb 25, 2016, 3:45 PM

SISSA, International School for Advanced Studies

Conveners

HPC in Mathematics

• Nicola Cavallini
• Luca Heltai

11. Finite Element Methods at Realistic Complexities

Wolfgang Bangerth (Texas A&M)

2/25/16, 3:45 PM

Solving realistic, applied problems with the most modern numerical methods introduces many levels of complexity. In particular, one has to think about not just a single method, but a whole collection of algorithms: a single code may utilize fully adaptive, unstructured meshes; nonlinear, globalized solvers; algebraic multigrid and block preconditioners; and do all this on 1,000 processors or...

12. MHPC Thesis: Hybrid Parallelisation Strategies for Boundary Element Methods

Mr Nicola Giuliani (MHPC - SISSA)

2/25/16, 4:25 PM

Whenever a mathematical problem admits a boundary integral representation, it can be straightforwardly discretised by Boundary Element Methods (BEM). In this work, we present an efficient hybrid parallel solver for FSI problems based on collocation BEM. The major bottlenecks for a serial implementations of BEM is the computational cost and memory requirements needed to respectively assemble...

14. High performance computing for computational electrocardiology. Part I: motivation and mathematical models.

Piero Colli Franzone (UNIPV)

2/25/16, 4:45 PM

Life sciences could benefit immensely from the massive growth of HPC processing power occurred in the last ten years. Indeed, complex biological systems are described by sophisticated mathematical models, whose solution requires highly scalable solvers. In particular, for what concerns cardiac electrophysiology, the simulation of the electrical excitation of the heart muscle, and the...

13. High performance computing for computational electrocardiology. Part II: scalable solvers.

Simone Scacchi (UNIMI)

2/25/16, 5:15 PM

The complex interaction between the cardiac bioelectrical and mechanical phenomena is modeled by a system of non-linear partial differential equations (PDEs), known as cardiac electro-mechanical coupling (EMC) model. Due to the extremely different spatial and temporal scales of the physical phenomena occurring during a single heartbeat, the discretization of the EMC model with finite elements...