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We numerically investigate, and improve upon, a computational approach originally introduced in [Cottereau, IJNME 2013] which aims at evaluating the effective coefficient of a medium modelled by a highly oscillatory coefficient. This…

Optimization and Control · Mathematics 2020-05-21 Olga Gorynina , Claude Le Bris , Frédéric Legoll

We present the mathematical study of a computational approach originally introduced by R. Cottereau in [R. Cottereau, IJNME 2013]. The approach aims at evaluating the effective (a.k.a. homogenized) coefficient of a medium with some…

Analysis of PDEs · Mathematics 2021-06-10 Olga Gorynina , Claude Le Bris , Frederic Legoll

The electron temperature dependent electron density of states, Fermi-Dirac distribution, and electron-phonon spectral function are computed as prerequisites before achieving effective electron-phonon coupling factor. The obtained coupling…

Computational Physics · Physics 2016-03-09 Pengfei Ji , Yuwen Zhang

This paper presents a simple yet novel two-dimensional modelling approach for approximating the coupling coefficient between neighbouring inductors as a function of co-planar separation and relative angular displacement. The approach…

Applied Physics · Physics 2023-11-15 Robert R. Hughes , Alexis Hernandez Arroyo , Anthony J. Mulholland

An overview of quantum-mechanical methods to generate cross-section data for electron collisions with atoms and molecules is presented. Particular emphasis is placed on the time-independent close-coupling approach, since it is particularly…

Plasma Physics · Physics 2016-10-21 Klaus Bartschat , Jonathan Tennyson , Oleg Zatsarinny

We present the short description of the methods for calculation of the coupling coefficients in the Coupling Cavity Model of arbitrary chain of resonators. In the first part the procedure that is based on the Mode Matching Method is given.…

Accelerator Physics · Physics 2016-09-07 M. I. Ayzatsky , V. V. Mytrochenko

We calculate the pair correlation function and the order parameter correlation function, which probe, respectively, the intra-pair and inter-pair correlations of a Fermi gas with attractive inter-particle interaction, in terms of a…

Superconductivity · Physics 2014-06-18 F. Palestini , G. C. Strinati

Metasurfaces have provided a novel and promising platform for the realization of compact and large-scale optical devices. The conventional metasurface design approach assumes periodic boundary conditions for each element, which is…

In this paper, a parallel overlapping domain decomposition preconditioner is proposed to solve the linear system of equations arising from the extended finite element discretization of elastic crack problems. The algorithm partitions the…

Computational Engineering, Finance, and Science · Computer Science 2021-12-07 Tian Wei , Huang Jingjing , Chen Rongliang , Jiang Yi

A procedure is presented to estimate the diffusion coefficient of a uniform patch of argon gas in a uniform background of helium gas. Molecular Dynamics (MD) simulations of the two gases interacting through the Lennard-Jones potential are…

Numerical Analysis · Mathematics 2026-05-12 Isaac Viviano

We show an efficient way to compute the electron-phonon coupling constant, $\lambda$, and the superconducting transition temperature, Tc from first-principles calculations. This approach gives rapid convergence of Tc with respect to the…

Superconductivity · Physics 2017-10-11 Takashi Koretsune , Ryotaro Arita

We consider the well-posedness and a priori error estimates of a 3d FEM-BEM coupling method for fluid-structure interaction in the time domain. For an elastic body immersed in a fluid, the exterior linear wave equation for the fluid is…

Numerical Analysis · Mathematics 2020-08-12 Heiko Gimperlein , Ceyhun Oezdemir , Ernst P. Stephan

Local-nonlocal coupling approaches combine the computational efficiency of local models and the accuracy of nonlocal models. However, the coupling process is challenging, requiring expertise to identify the interface between local and…

Machine Learning · Computer Science 2024-08-12 Noujoud Nader , Patrick Diehl , Marta D'Elia , Christian Glusa , Serge Prudhomme

The chromium dimer (Cr2) presents an outstanding challenge for many-body electronic structure methods. Its complicated nature of binding, with a formal sextuple bond and an unusual potential energy curve, is emblematic of the competing…

Computational Physics · Physics 2015-02-17 Wirawan Purwanto , Shiwei Zhang , Henry Krakauer

The paper is concerned with the derivation and analysis of nonoverlapping domain decomposition for heterogeneous, anisotropic diffusion problems discretized by the finite element cell-centered (FECC) scheme. Differently from the standard…

Numerical Analysis · Mathematics 2019-05-24 Thanh Hai Ong , Duc Cam Hai Vo , Thi-Thao-Phuong Hoang

We develop and analyze an optimization-based method for the coupling of a static peri-dynamic (PD) model and a static classical elasticity model. The approach formulates the coupling as a control problem in which the states are the…

Numerical Analysis · Mathematics 2021-10-12 Marta D'Elia , David Littlewood , Jeremy Trageser , Mauro Perego , Pavel Bochev

In this work, a new partition-collocation strategy for the parallel execution of CFD--DEM couplings is investigated. Having a good parallel performance is a key issue for an Eulerian-Lagrangian software that aims to be applied to solve…

Computational Engineering, Finance, and Science · Computer Science 2018-10-09 Gabriele Pozzetti , Xavier Besseron , Alban Rousset , Bernhard Peters

The massive quantities of genomic data being made available through gene sequencing techniques are enabling breakthroughs in genomic science in many areas such as medical advances in the diagnosis and treatment of diseases. Analyzing this…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-24 Wayne Joubert , James Nance , Sharlee Climer , Deborah Weighill , Daniel Jacobson

We study a puzzle raised recently regarding the running coupling prescription used in the calculation of forward particle production in proton-nucleus collisions at next-to-leading order: using a coordinate space prescription which is…

High Energy Physics - Phenomenology · Physics 2019-02-20 B. Ducloué , E. Iancu , T. Lappi , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos , Y. Zhu

Objective: We propose a novel approach for modelling the inter-dependence of electrical and mechanical phenomena in nervous cells, by using electro-thermal equivalences in finite element (FE) analysis so that existing thermo-mechanical…

Applied Physics · Physics 2020-09-09 Ilaria Cinelli , Michel Destrade , Maeve Duffy , Peter McHugh
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