Title: A class of parabolic fractional reaction-diffusion systems with control of total mass: Theory and numerics Abstract: In this talk based on [1, 2], we present some new results about global-in-time existence of strong solutions to a class of fractional parabolic reaction–diffusion systems posed in a bounded open subset of…
Title: Energy consistent time discretisation of port-Hamiltonian systems Abstract Various ordinary and partial differential equations arising from physics can be written as port-Hamiltonian systems. Their Hamiltonian function represents an energy that is conserved or dissipated along solutions. Numerical schemes are energy consistent, if the Hamiltonian is preserved or dissipated also…
Development and personalisation of coupled 3d-1d models of cardiovascular function A key factor governing the mechanical performance of the heart is the bidirectional coupling with the cardiovascular system where alterations in the arterial system modulate the pulsatile load imposed on the heart. Current image-based computational models of cardiac electro-mechanics (EM)…
Title: Some perspectives on stochastic models for Bayesian image restoration Abstract: Random image models are central for solving inverse problems in imaging. In a Bayesian formalism, these models can be used as priors or regularisers and combined to an explicit likelihood function to define posterior distributions. Most of the time,…
Dimension reduction with auto-associative models We consider approximation of sets with the purpose of “reducing their dimension”, namely finding low dimensional systems of coordinates, either as an end in itself to search for interpretable structures, or as preliminary to optimisation, probabilistic modelling, or approximation of a function whith functional input…
Title: Finite Element Approximation of Elliptic Homogenization Problems in Nondivergence-Form Abstract: In the first part of the talk, we use uniform $W^{2,p}$ estimates to obtain corrector results for periodic homogenization problems of the form $A(x/\varepsilon) : D^2 u_{\varepsilon} = f$ subject to a homogeneous Dirichlet boundary condition. We then propose…
Modeling oscillating polymerization/depolymerization processes The process of protein aggregation and fragmentation is intimately linked to the development of a broad class of neurodegenerative diseases or amyloid disease. More particularly, oscillatory kinetic phenomena are identified in experiments on Prion diseases. As a first step, the analysis of experimental data leads us…
Iterative Refinement in Three Precisions. Support for multiprecision floating point arithmetic is increasingly common in emerging architectures. In an effort to exploit this available hardware, we present a general algorithm for solving an n × n nonsingular linear system Ax = b based on iterative refinement in three precisions, where…
Title : A unified Nitsche approach for fluid-structure interactions with contact (Joint work with E. Burman and M.A. Fernández) In this talk we discuss fluid-structure interaction (FSI) problems with large structural deflections and the transition to contact between parts of the structure and an exterior wall. Several modelling issues arise…
Title : Approximation with tree tensor networks Abstract: Many problems in computational science require the approximation of high-dimensional functions. Examples of such problems can be found in physics, stochastic analysis or statistical learning. Other examples include parametric or uncertainty analyses for parameter-dependent models. The approximation of a high-dimensional function requires…
