Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System : Models, Algorithms, and Applications

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A key component in developing atrial digital twins (ADT) - virtual representations of patients’ atria — is the accurate prescription of myocardial fibers which are essential for the tissue characterization. Due to the difficulty of reconstructing atrial fi ...

We study continuous-domain linear inverse problems that involve a general data-fidelity term and a regularisation term. We consider a regularisation that is formed by the sparsity-promoting total-variation norm, pre-composed with a differential operator th ...

This paper presents an efficient modeling approach for parallel counterpoise wires used in the tower-footing grounding systems of high-voltage transmission lines. The proposed method is based on transmission line theory, with the governing equations solved ...

We consider the 2D stochastic Navier–Stokes equations driven by noise that have the regularity of space-time white noise but don’t exactly coincide with it. We show that, provided that the intensity of the noise is sufficiently weak at high frequencies, th ...

We investigate two hydraulic stimulation stages performed in April 2022 at the Utah FORGE enhanced geothermal system test site using analytical solutions and numerical modeling of fluid-induced tensile and shear rupture problems. These stimulation stages d ...

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MiMiC is a flexible and efficient framework for multiscale simulations in which different subsystems are treated by individual client programs. In this work, we present a new interface with OpenMM to be used as an MM client program and we demonstrate its e ...

The goal of this work is to use anisotropic adaptive finite elements for the numerical simulation of aluminium electrolysis. The anisotropic adaptive criteria are based on a posteriori error estimates derived for simplified problems. First, we consider an ...

The thesis is dedicated to the study of two main partial differential equations (PDEs) in fluid dynamics: the Navier-Stokes equations, which describe the motion of incompressible fluids, and the transport equation with divergence-free velocity fields, whic ...

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The sensing of left ventricular (LV) activity is fundamental in the diagnosis and monitoring of cardiovascular health in high-risk patients after cardiac surgery to achieve better short- and long-term outcome. Conventional approaches rely on noninvasive me ...

The p-Laplacian problem -del & sdot; ((mu + |del u|(p-2))del u) = f is considered, where mu is a given positive number. An anisotropic a posteriori residual-based error estimator is presented. The error estimator is shown to be equivalent, up to higher ord ...

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In algorithms for solving optimization problems constrained to a smooth manifold, retractions are a well-established tool to ensure that the iterates stay on the manifold. More recently, it has been demonstrated that retractions are a useful concept for ot ...

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Time-domain solutions of Maxwell’s equations in homogeneous and isotropic media are paramount to studying transient or broadband phenomena. However, analytical solutions are generally unavailable for practical applications, while numerical solutions are co ...

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Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System : Models, Algorithms, and Applications

Chattez avec Graph Search

Defining myocardial fiber bundle architecture in atrial digital twins

Convergence analysis of the discretization of continuous-domain inverse problems

Efficient modeling of parallel counterpoise wires using an FDTD-based transmission line approach

ERGODICITY OF 2D SINGULAR STOCHASTIC NAVIER–STOKES EQUATIONS

The Utah FORGE 2022 hydraulic stimulations: tensile hydraulic fractures or/and fluid-induced dilatant shear ruptures?

Testing the accuracy and convergence of scattering calculations using Lorentz reciprocity

Minimally Invasive and in Situ Capacitive Sensing of Cardiac Troponin I From Interstitial Fluid

OpenMM–MiMiC Interface for Efficient and Flexible Multiscale Simulations

Adaptive Finite Elements with Large Aspect Ratio. Application to Aluminium Electrolysis

Anomalous dissipation and other non-smooth phenomena in fluids

Generalization of Scaled Deep ResNets in the Mean-Field Regime

SPACE-TIME REDUCED BASIS METHODS FOR PARAMETRIZED UNSTEADY STOKES EQUATIONS

Implementation of an epicardial implantable MEMS sensor for continuous and real-time postoperative assessment of left ventricular activity in adult minipigs over a short- and long-term period

Anisotropic Adaptive Finite Elements for a p-Laplacian Problem

Learning the intrinsic dynamics of spatio-temporal processes through Latent Dynamics Networks

From low-rank retractions to dynamical low-rank approximation and back

Reliable data-driven decision-making through optimal transport

A cut-cell method for the numerical simulation of 3D multiphase flows with strong interfacial effects

The time-domain Cartesian multipole expansion of electromagnetic fields

Understanding snow saltation parameterizations: lessons from theory, experiments and numerical simulations