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Two-dimensional topological insulators are central to our understanding of the connection between topological symmetries in a material and its band electronics. Within this class of materials, a breadth of complex quantum behaviors, such as…

This paper introduces a constructive method for approximating relative continuum measurements in two-dimensional electrical impedance tomography based on data originating from either the point electrode model or the complete electrode…

Numerical Analysis · Mathematics 2021-03-09 Henrik Garde , Nuutti Hyvönen

We propose high-order FDTD schemes based on the Correction Function Method (CFM) for Maxwell's interface problems with discontinuous coefficients and complex interfaces. The key idea of the CFM is to model the correction function near an…

Numerical Analysis · Mathematics 2022-03-11 Yann-Meing Law , Jean-Christophe Nave

In this work a novel method for the analysis with trimmed CAD surfaces is presented. The method involves an additional mapping step and the attraction stems from its sim- plicity and ease of implementation into existing Finite Element (FEM)…

Numerical Analysis · Computer Science 2015-01-28 Gernot Beer , Benjamin Marussig , Jürgen Zechner

This work illustrates the possibility to apply the Fast Fourier Transformation to obtain the integrals of the Boundary Element Method (BEM) on arbitrary shapes. The procedure is inspired by the technique used with great success within the…

Computational Physics · Physics 2018-09-05 Justus Benad

Fused Deposition Modeling (FDM) is one of the most widely explored additive manufacturing method that uses thermoplastic materials to manufacture products. Mechanical properties of parts manufactured using FDM are influenced by different…

Materials Science · Physics 2022-02-14 Santosh Rajkumar

We present the development of extended diffraction tomography, a new approach to the solution of the linear seismic waveform inversion problem. This method has several appealing features, such as the use of arbitrary depth-dependent…

Geophysics · Physics 2009-05-05 R. B. Schlottmann

Two-dimensional materials-based field-effect transistors (2DM-FETs) exhibit both ambipolar and unipolar transport types. To physically and compactly cover both cases, we put forward a quasi-Fermi-level phase space (QFLPS) approach to model…

We present Advancing Front Mapping (AFM), a provably robust algorithm for the computation of surface mappings to simple base domains. Given an input mesh and a convex or star-shaped target domain, AFM installs a (possibly refined) version…

Computational Geometry · Computer Science 2024-01-08 Marco Livesu

Lower limb amputees often suffer skin and tissue problems from using their prosthesis which is a challenging biomechanical problem. The finite element method (FEM) has previously been applied to analyse internal mechanical conditions of the…

Medical Physics · Physics 2019-08-02 Sara Kallin , Asim Rashid , Kent Salomonsson , Peter Hansbo

Electrical Impedance Tomography can be cost-effective, portable, non-invasive imaging technique. It has preclinical and a few of them already proven industrial applications. This technique can only recover images of low spatial and contrast…

Instrumentation and Detectors · Physics 2023-04-17 Vaishali Sharma , Mayank Goswami

We consider the scattering of time periodic electro-magnetic fields by metallic obstacles, the eddy current problem. In this interface problem different sets of Maxwell equations must be solved in the obstacle and outside, while the…

Numerical Analysis · Mathematics 2016-05-26 M. Maischak , Z. Nezhi , J. E. Ospino , E. P. Stephan

A method to design gratings in integrated photonics, is presented. The method is based on a transfer matrix formalism enhanced by Finite Element Method (FEM) parameter calculations. The main advantages of the proposed technique are the easy…

Optics · Physics 2021-06-14 Clara Zaccaria , Mattia Mancinelli , Lorenzo Pavesi

Finite element modeling (FEM) is a critical tool in the design and analysis of piezoelectric devices, offering detailed numerical simulations that guide various applications. While traditionally applied to eigenfrequency analysis and…

Robotics · Computer Science 2024-09-18 Zhanyue Zhao , Yang Wang , Charles Bales , Yiwei Jiang , Gregory Fischer

Periodic micromagnetic finite element method (PM-FEM) is introduced to solve periodic unit cell problems using the Landau-Lifshitz-Gilbert equation. PM-FEM is applicable to general problems with 1D, 2D, and 3D periodicities. PM-FEM is based…

Numerical Analysis · Mathematics 2024-09-24 Fangzhou Ai , Jiawei Duan , Vitaliy Lomakin

Source localization based on electroencephalography (EEG) has become a widely used neuroimagining technique. However its precision has been shown to be very dependent on how accurately the brain, head and scalp can be electrically modeled…

Medical Physics · Physics 2020-04-22 Lyes Rahmouni , Adrien Merlini , Axelle Pillain , Francesco P. Andriulli

The determination of the contact area is a key step to derive mechanical properties such as hardness or an elastic modulus by instrumented indentation testing. Two families of procedures are dedicated to extracting this area: on the one…

Materials Science · Physics 2016-08-14 L. Charleux , V. Keryvin , M. Nivard , J. -P. Guin , J. -C. Sanglebœuf , Y. Yokoyama

Focused electron beam induced deposition (FEBID) is a powerful technique for 3D-printing of complex nanodevices. However, for resolutions below 10 nm, it struggles to control size, morphology and composition of the structures, due to a lack…

The immersed finite element-finite difference (IFED) method is a computational approach to modeling interactions between a fluid and an immersed structure. This method uses a finite element (FE) method to approximate the stresses and forces…

Numerical Analysis · Mathematics 2023-02-01 David Wells , Ben Vadala-Roth , Jae H. Lee , Boyce E. Griffith

MEMS Inertial Measurement Units (IMUs) as ubiquitous proprioceptive motion measurement devices are available on various everyday gadgets and robotic platforms. Nevertheless, the direct inference of geometrical transformations or odometry…

Machine Learning · Computer Science 2022-03-22 R. Khorrambakht , H. Damirchi , H. D. Taghirad
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