Title: Optimal control in ferromagnetism: minimal time to reverse the magnetization Abstract In this presentation, we consider a ferromagnetic material with an ellipsoidal geometry immersed in an external magnetic field. In this case, the material magnetization satisfies the Landau-Lifshitz equation. We are interested in the following question: can we reserve…
Title: Adipose tissue dynamics modeling Abstract Adipose tissue, made of adipocyte cells (also known as fat cells), is central in many physiological pathways involved in obesity-related diseases. Clarifying the dynamics of adipocytes size and number evolution is crucial to better understand the pathophysiological basis of those diseases. We will study…
Title: Neural Operator Surrogates for Elliptic PDEs Abstract Approximating solution sets of PDEs is an important task for many applications such as model order reduction and uncertainty quantification. In this talk, we consider the problem of approximating the solution operator of a PDE, viewed as a (nonlinear) map between subsets…
Title: Flow simulations in large-scale fractured porous media Abstract In underground environments, fractures are numerous and present at all scales (from cm to km), with very heterogeneous properties. The most commonly used model for fractured rocks is the Discrete Fracture Matrix (DFM) model, in which fractures are represented as structures…
Title: Collocated Simulation of Incompressible Flows on Node-Based Octrees Abstract: Incompressible fluid flows are ubiquitous in science and engineering applications and lie at the heart of numerous research questions. Developing control strategies to minimize drag, understanding arterial wall deformation in the human heart, and even optimizing the energy consumption of…
Title: Heterogeneous domain decomposition methods Abstract: Heterogeneous domain decomposition methods are domain decomposition methods where one does not solve the same equation in each subdomain. There are two reasons for this to occur: first the physics are different in different regions, and second, the physics is the same, but one…
Title: A reconstruction method for the gravimetric inverse problem Abstract: For a constant density, the gravimetric inverse problem is equivalent to a geometric inverse problem. The reconstruction method that we propose hinges on the computation of harmonic momenta for the target domain. We will first present our algorithm, then convergence…
Title: Shallow Water models for viscoplastic flows Abstract: We present some developments on the Saint Venant equations from the Navier-Stokes-Bingham model. Specific finite volume schemes are designed to deal with the yield stress of the constitutive law. Comparisons with dam-break physical experiments will also be discussed.
Title: Enabling technologies for predictive digital twins Abstract: We adopt the following definition of a Digital Twin [1]: A digital twin is defined as a virtual representation of a physical asset, or a process enabled through data and simulators for real-time prediction, optimization, monitoring, control, and decision-making. To enable predictive…
Title: Computational mechanics of hyperelastic soft tissues: numerical solver and modeling challenges Abstract: An important aspect of employing computational mechanics for biomechanical systems is theconstitutive modeling of soft tissues. Even after decades-long investigations into the constitutivemodeling using ex-vivo, in-vivo, and in-silico models, several challenges remain. In this talk, I will…
