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NIMASTEP is a dedicated numerical software developed by us, which allows one to integrate the osculating motion (using cartesian coordinates) in a Newtonian approach of an object considered as a point-mass orbiting a homogeneous central…

Earth and Planetary Astrophysics · Physics 2012-04-09 N. Delsate , A. Compère

The Cesam code is a consistent set of programs and routines which perform calculations of 1D quasi-hydrostatic stellar evolution including microscopic diffusion of chemical species and diffusion of angular momentum. The solution of the…

Astrophysics · Physics 2009-06-23 Pierre Morel , Yveline Lebreton

This paper presents a shape optimisation system to design the shape of an acoustically-hard object in the three-dimensional open space. Boundary element method (BEM) is suitable to analyse such an exterior field. However, the conventional…

Numerical Analysis · Mathematics 2021-05-11 Toru Takahashi , Daisuke Sato , Hiroshi Isakari , Toshiro Matsumoto

A new approach is presented to compute the seismic normal modes of a fully heterogeneous, rotating planet. Special care is taken to separate out the essential spectrum in the presence of a fluid outer core. The relevant…

Computational Physics · Physics 2021-09-28 Jia Shi , Ruipeng Li , Yuanzhe Xi , Yousef Saad , Maarten V. de Hoop

We present a novel method for extracting moving objects from TESS data using machine learning. Our approach uses two stacked 3D U-Nets with skip connections, which we call a W-Net, to filter background and identify pixels containing moving…

Earth and Planetary Astrophysics · Physics 2026-05-13 Brian P. Powell , Jorge Martinez-Palomera , Amy Tuson , Christina Hedges , Jessie Dotson , Jordan Caraballo-Vega

This work presents a Boundary Element Method (BEM) formulation for contactless electromagnetic field assessments. The new scheme is based on a regularized BEM approach that requires the use of electric measurements only. The regularization…

Medical Physics · Physics 2017-03-08 Rajendra Mitharwal , Francesco P. Andriulli

We present a new, simple, fast algorithm to numerically evolve disks of inelastically colliding particles surrounding a central star. Our algorithm adds negligible computational cost to the fastest existing collisionless N-body codes, and…

Astrophysics · Physics 2008-11-26 Yoram Lithwick , Eugene Chiang

Seismic imaging is the numerical process of creating a volumetric representation of the subsurface geological structures from elastic waves recorded at the surface of the Earth. As such, it is widely utilized in the energy and construction…

Geophysics · Physics 2024-11-05 Juan Romero , Wolfgang Heidrich , Nick Luiken , Matteo Ravasi

A simple, yet efficient procedure to solve quasistatic problems of special linear visco-elastic solids at small strains with equal rheological response in all tensorial components, utilizing boundary element method (BEM), is introduced.…

Numerical Analysis · Mathematics 2014-02-27 C. G. Panagiotopoulos , V. Mantic , T. Roubicek

This paper outlines a numerical algorithm that could be used for simulating full 3D dynamics of magnetic fluid droplet shapes in external magnetic fields, by solving boundary integral equations. The algorithm works with arbitrary droplet…

Fluid Dynamics · Physics 2022-03-18 Aigars Langins , Andris P. Stikuts , Andrejs Cēbers

An isogeometric boundary element method (BEM) is presented to solve scattering problems in an isotropic homogeneous medium. We consider wave problems governed by the scalar wave equation as in acoustics and the Lam\'e-Navier equations for…

Computational Engineering, Finance, and Science · Computer Science 2025-10-09 Thomas Kramer , Benjamin Marussig , Martin Schanz

The frequency-domain fast boundary element method (BEM) combined with the exponential window technique leads to an efficient yet simple method for elastodynamic analysis. In this paper, the efficiency of this method is further enhanced by…

Computational Engineering, Finance, and Science · Computer Science 2013-03-22 Jinyou Xiao , Wenjing Ye , Lihua Wen

We present a new formulation of the Boundary Element Method (BEM) for simulating the non-adhesive and adhesive contact between an indenter of arbitrary shape and an elastic half-space coated with an elastic layer of different material. We…

Soft Condensed Matter · Physics 2018-07-06 Qiang Li , Roman Pohrt , Iakov A. Lyashenko , Valentin L. Popov

The numerical simulation of acoustic waves in complex 3D media is a key topic in many branches of science, from exploration geophysics to non-destructive testing and medical imaging. With the drastic increase in computing capabilities this…

Computational Physics · Physics 2016-12-21 Alexis Bottero , Paul Cristini , Dimitri Komatitsch , Mark Asch

The concept of isogeometric analysis, whereby the parametric func- tions that are used to describe CAD geometry are also used to approx- imate the unknown fields in a numerical discretisation, has progressed rapidly in recent years. This…

Numerical Analysis · Mathematics 2013-02-22 R. N. Simpson , S. P. A. Bordas , H. Lian , J. Trevelyan

The scaled boundary finite element method (SBFEM) is a semi-analytical computational scheme, which is based on the characteristics of the finite element method (FEM) and combines the advantages of the boundary element method (BEM). This…

Numerical Analysis · Mathematics 2024-10-22 Yang Yang , Zongliang Zhang , Yelin Feng

Knowledge of the interior density distribution of an asteroid can reveal its composition and constrain its evolutionary history. However, most asteroid observational techniques are not sensitive to interior properties. We investigate the…

Earth and Planetary Astrophysics · Physics 2022-10-20 Jack T Dinsmore , Julien de Wit

A surface integral representation of Maxwell's equations allows the efficient electromagnetic (EM) modeling of three-dimensional structures with a two-dimensional discretization, via the boundary element method (BEM). However, existing BEM…

Numerical Analysis · Mathematics 2021-12-14 Shashwat Sharma , Piero Triverio

The finite element method (FEM) and the boundary element method (BEM) can numerically solve the Helmholtz system for acoustic wave propagation. When an object with heterogeneous wave speed or density is embedded in an unbounded exterior…

Numerical Analysis · Mathematics 2021-11-29 Elwin van 't Wout

As the amount of asteroseismic data available continues to grow, the inability to accurately model observed oscillation frequencies is becoming a critical problem for interpreting these frequencies. A major component of this problem is the…

Solar and Stellar Astrophysics · Physics 2020-07-01 J. Schou , A. C. Birch