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This contribution investigates the connection between isogeometric analysis and integral equation methods for full-wave electromagnetic problems up to the low-frequency limit. The proposed spline-based integral equation method allows for an…

Computational Engineering, Finance, and Science · Computer Science 2026-05-19 Maximilian Nolte , Riccardo Torchio , Sebastian Schöps , Jürgen Dölz , Felix Wolf , Albert E. Ruehli

One of the most used approaches in simulating materials is the tight-binding approximation. When using this method in a material simulation, it is necessary to compute the eigenvalues and eigenvectors of the Hamiltonian describing the…

Numerical Analysis · Computer Science 2009-10-29 Matthias Petschow , Edoardo Di Napoli , Paolo Bientinesi

An isogeometric boundary element method for problems in elasticity is presented, which is based on an independent approximation for the geometry, traction and displacement field. This enables a flexible choice of refinement strategies,…

Numerical Analysis · Computer Science 2015-02-04 Benjamin Marussig , Jürgen Zechner , Gernot Beer , Thomas-Peter Fries

The construction of volumetric parametrizations for computational domains is a key step in the pipeline of isogeometric analysis. Here, we investigate a solution to this problem based on the mesh deformation approach. The desired domain is…

Numerical Analysis · Mathematics 2019-03-25 Alexander Shamanskiy , Michael Helmut Gfrerer , Jochen Hinz , Bernd Simeon

This paper presents a configuration design optimization method for three-dimensional curved beam built-up structures having maximized fundamental eigenfrequency. We develop the method of computation of design velocity field and optimal…

Applied Physics · Physics 2021-01-26 Myung-Jin Choi , Jae-Hyun Kim , Bonyong Koo , Seonho Cho

The goal of this work is to improve focusing of high-intensity ultrasound by modifying the geometry of acoustic lenses through shape optimization. The shape optimization problem is formulated by introducing a tracking-type cost functional…

Optimization and Control · Mathematics 2017-12-15 Markus Muhr , Vanja Nikolić , Barbara Wohlmuth , Linus Wunderlich

The subject of simulating internal organs is a valuable and important topic of research to multiple fields from medical analysis to education and training. This paper presents a solution that utilizes a graphical technique in combination…

Graphics · Computer Science 2024-01-23 Benjamnin Kenwright , Kanida Sinmai

The efforts in this contribution consist in reassessing a modified Dirac equation that incorporates a $\gamma^0 \gamma_5$-Lorentz-symmetry violating (LSV) term induced as a Loop Quantum Gravity (LQG) effect. Originally, this equation has…

High Energy Physics - Theory · Physics 2024-09-19 João Paulo S. Melo , Mario J. Neves , Jefferson M. A. Paixão , José A. Helayël-Neto

Surrogate models for computational simulations are input-output approximations that allow computationally intensive analyses, such as uncertainty propagation and inference, to be performed efficiently. When a simulation output does not…

Computational Engineering, Finance, and Science · Computer Science 2014-08-05 Alex A. Gorodetsky , Youssef M. Marzouk

We study the consistency of having Lorentz invariance as a low energy approximation within the quantum field theory framework. A model with a scalar and a fermion field is used to show how a Lorentz invariance violating high momentum scale,…

High Energy Physics - Theory · Physics 2017-06-05 J. L. Cortes , J. Lopez-Sarrion

This paper presents a new method to obtain the deformation distribution on the main reflector of an antenna only by measuring the electric intensity on a spherical surface with the focal point as the center of the sphere, regardless of…

Instrumentation and Methods for Astrophysics · Physics 2021-12-08 Qian Ye , Boyang Wang , Qiang Yao , Jinqing Wang , Qinghui Liu , Zhiqiang Shen

On the basis of the Lorentz equations of motion, the orbit of a charge driven by a generic E.M. field with planar symmetry is formulated and analyzed within the framework of a Lorentzian geometry with a curvature whose order of magnitude is…

Mathematical Physics · Physics 2012-02-28 Kiam Heong Kwa

The finite element analysis of high frequency vibrations of quartz crystal plates is a necessary process required in the design of quartz crystal resonators of precision types for applications in filters and sensors. The anisotropic…

Computational Physics · Physics 2015-09-21 Ji Wang , Lihong Wang , Qiang Sun , Rongxing Wu , Bin Huang , Jianke Du , Wei Xiang

New exact formulas are derived for systems involving Landau-Zener transition rates and for absorption spectra in quantum dots. These rectify previous inaccurate approximations utilized in experimental studies. The exact formulas give an…

Quantum Physics · Physics 2024-03-07 Jorge G. Russo , Miguel Tierz

In this thesis, I investigate how to construct a self-consistent model of deformed general relativity using canonical methods and metric variables. The specific deformation of general covariance is predicted by some studies into loop…

General Relativity and Quantum Cosmology · Physics 2019-10-07 Rhiannon Cuttell

The state of art of electromagnetic integral equations has seen significant growth over the past few decades, overcoming some of the fundamental bottlenecks: computational complexity, low frequency and dense discretization breakdown,…

Numerical Analysis · Mathematics 2022-09-21 A. M. A. Alsnayyan , B. Shanker

The 2-dimensional Ising model on a square lattice is investigated with a variational autoencoder in the non-vanishing field case for the purpose of extracting the crossover region between the ferromagnetic and paramagnetic phases. The…

Computational Physics · Physics 2020-08-04 Nicholas Walker , Ka-Ming Tam

The low energy part of the FAST linear accelerator based on 1.3 GHz superconducting RF cavities was successfully commissioned. During commissioning, beam based model dependent methods were used to correct linear lattice and trajectory.…

Accelerator Physics · Physics 2017-09-15 A. Romanov , D. Edstrom , A. Halavanau

This study discusses the scale transformation of electromagnetic fields and trajectories of ions in radio-frequency linear accelerators. We will obtain a condition for mechanical similarity, where Maxwell equations with source terms and the…

Accelerator Physics · Physics 2025-07-08 Osamu Kamigaito

A simple model is constructed which allows to compute modified dispersion relations with effects from loop quantum gravity. Different quantization choices can be realized and their effects on the order of corrections studied explicitly. A…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Martin Bojowald , Hugo A. Morales-Tecotl , Hanno Sahlmann