Mathematical analysis and numerical simulation of the motion of a glacier

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In a previous paper, a new gyrokinetic quasilinear model was proposed to study turbulent momentum transport in tokamaks with up-down asymmetric plasma shaping and toroidal flow shear (Sun et al 2024 Nuclear Fusion 64 036026). In this work, we start by appl ...

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 ...

We present a simple and versatile approach to test the accuracy of scattering calculations. Based on the Lorentz reciprocity relation, this criterion can be used for any scattering object, especially where a reference solution (e.g. from Mie theory) does n ...

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 ...

We investigate the isogeometric approximation of the Stokes problem in a trimmed domain, where the underlying mesh is not fitted to the physical domain boundary, posing a challenge for enforcing essential boundary conditions. We introduce three families of ...

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 ...

To constrain cosmological models beyond ACDM, the development of the Euclid analysis pipeline requires simulations that capture the non-linear phenomenology of such models. We present an overview of numerical methods and N-body simulation codes developed t ...

In this work, we analyze space-time reduced basis methods for the efficient numerical simulation of haemodynamics in arteries. The classical formulation of the reduced basis (RB) method features dimensionality reduction in space, while finite difference sc ...

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 ...

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 ...

In less than a century, electronic computers have become essential to everyday life and have transformed scientific research. Their use in solving scientific problems has integrated theoretical and experimental approaches, often blurring the lines between ...

We consider fluid flows, governed by the Navier-Stokes equations, subject to a steady symmetry-breaking bifurcation and forced by a weak noise acting on a slow timescale. By generalizing the multiple-scale weakly nonlinear expansion technique employed in t ...

To address the global loss of biodiversity in freshwater environments, understanding river habitat requirements for key species, such as brown trout (Salmo trutta L.), is crucial. The Habitat Suitability Index (HSI) aids ecologists in identifying preferred ...

The design of small solenoids without/with-partial insulation (PI) among turns or layers has been proven to grant higher thermal stability than for standard insulated cases. This technology also implies higher safety standards, by e.g. reducing the coil vo ...

Purpose: This study aims to evaluate two distinct approaches for fiber radius estimation using diffusion-relaxation MRI data acquired in biomimetic microfiber phantoms that mimic hollow axons. The methods considered are the spherical mean power-law approac ...

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 ...

This paper presents the new 2D electrostatic particle -in -cell code FENNECS developed to study the formation of magnetized non -neutral plasmas in geometries with azimuthal symmetry. This code has been developed in the domain of gyrotron electron gun desi ...

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 ...

Molecular quantum dynamics simulations are essential for understanding many fundamental phenomena in physics and chemistry. They often require solving the time-dependent Schrödinger equation for molecular nuclei, which is challenging even for medium-sized ...

This article describes a field-based analytical model of single-sided linear induction motors (SLIMs) that explicitly considers the following effects altogether: finite motor length, magnetomotive force mmf space harmonics, slot effect, edge effect, and ta ...

Mathematical analysis and numerical simulation of the motion of a glacier

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A Quasilinear Model for Momentum Transport Including Rotation and Electron-scale Turbulence

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

Convergence analysis of the discretization of continuous-domain inverse problems

Isogeometric discretizations of the Stokes problem on trimmed geometries

ERGODICITY OF 2D SINGULAR STOCHASTIC NAVIER–STOKES EQUATIONS

Euclid preparation: LXII. Simulations and non-linearities beyond Lambda cold dark matter. 1. Numerical methods and validation

SPACE-TIME REDUCED BASIS METHODS FOR PARAMETRIZED UNSTEADY STOKES EQUATIONS

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

Defining myocardial fiber bundle architecture in atrial digital twins

Simulating Interacting Quantum Systems with Near-Term Quantum Computers

Noise-induced transitions past the onset of a steady symmetry-breaking bifurcation: The case of the sudden expansion

Assessing the Weighted Usable Area for the Habitat Suitability of brown trout (Salmo trutta L.) in rivers

Numerical Analysis of Non-Insulated DEMO TF Coils

Pore size estimation in axon-mimicking microfibers with diffusion-relaxation MRI

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

FENNECS: a novel particle-in-cell code for simulating the formation of magnetized non-neutral plasmas trapped by electrodes of complex geometries

Anisotropic Adaptive Finite Elements for a p-Laplacian Problem

High-order geometric integrators for the variational Gaussian wavepacket dynamics and application to vibronic spectra at finite temperature

Analytical Model of Single-Sided Linear Induction Motors for High-Speed Applications