This work focuses in the utilization of current HPC technologies to explore mathematical optimization algorithms in which a PDE acts as main constraint. A development framework is proposed, together with a novel application ...

The heart is a complex system. From the transmembrane cell activity to the spatial organization in helicoidal fibers, it includes several spatial and temporal scales. The heart muscle is surrounded by two main tissues that ...

(English) Computational modeling and simulation (CM&S) provides a powerful cost- and time-efficient tool to access detailed mechanistic information of biomedical problems, which is not accessible in either clinical imaging ...

This thesis develops a new electro-mechanical model based on the model of Rice et al. used to couple the electrophysiological and cardiac models developed in Barcelona Supercomputing Center. This model consists in a system ...

In the field of nonlinear computational solid mechanics, contact problems deal with the deformation of separate bodies which interact when they come in touch. Usually, these problems are formulated as constrained minimization ...

This report presents the study of the conservation properties for the Euler and Navier-Stokes equations ofcompressible flow, using Galerkin finite element methods. Most simulation methods for compressible flow attainnumerical ...

In this thesis the finite and spectral element methods (FEM and SEM, respectively) applied to problems in atmospheric simulations are explored through the common thread of Variational Multiscale Stabilization (VMS). This ...