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This study presents an advanced numerical framework that integrates experimentally acquired Atomic Force Microscope (AFM) data into high-fidelity simulations for adhesive rough contact problems, bridging the gap between experimental physics…

Computational Engineering, Finance, and Science · Computer Science 2025-04-04 Maria Rosaria Marulli , Jacopo Bonari , Pasqualantonio Pingue , Marco Paggi

This paper presents a numerical method for the simulation of multiscale materials composed of an elastic matrix and slender active inclusions. The setting is motivated by the modeling of vascularized tissues and by problems arising in the…

Numerical Analysis · Mathematics 2025-08-19 Camilla Belponer , Alfonso Caiazzo , Luca Heltai

We describe and evaluate a numerical solution strategy for simulating surface acoustic waves through semiconductor devices with complex geometries. This multi-physics problem is of particular relevance to the design of quantum electronic…

Computational Physics · Physics 2007-05-23 S. Rahman , H. P. Langtangen , C. H. W. Barnes

Electro-active materials are classified as electrostrictive and piezoelectric materials. They deform under the action of an external electric field. Piezoelectric material, as a special class of active materials, can produce an internal…

Numerical Analysis · Mathematics 2024-04-16 Nima Noii , Mehran Ghasabeh , Peter Wriggers

Traditional sheet metal forming relies on time-consuming and expensive Finite Element Analysis (FEA) for design validation, a process that significantly prolongs design cycles. While surrogate models offer faster iteration, current…

Machine Learning · Computer Science 2026-05-20 Jiajie Luo , Mohamed Mohamed , Osama Hassan , Haosu Zhou , Yingxue Zhao , Haoran Li , Xinrun Li , Zhutao Shao , Yang Long , Nan Li , Jichun Li

Large-scale 3D martensitic microstructure evolution problems are studied using a finite-element discretization of a finite-strain phase-field model. The model admits an arbitrary crystallography of transformation and arbitrary elastic…

Computational Physics · Physics 2021-02-19 K. Tůma , M. Rezaee-Hajidehi , J. Hron , P. E. Farrell , S. Stupkiewicz

Numerical simulations of brittle fracture using phase-field approaches often employ a discrete approximation framework that applies the same order of interpolation for the displacement and phase-field variables. Most common is to use linear…

Numerical Analysis · Mathematics 2019-04-30 Juan Michael Sargado , Eirik Keilegavlen , Inga Berre , Jan Martin Nordbotten

Future developments of lighter, more compact and powerful motors-driven by environmental and sustainability considerations in the transportation industry-involve higher stresses, currents and electromagnetic fields. Strong couplings between…

Classical Physics · Physics 2021-02-24 N Hanappier , E Charkaluk , N Triantafyllidis

Fourth-order differential equations play an important role in many applications in science and engineering. In this paper, we present a three-field mixed finite-element formulation for fourth-order problems, with a focus on the effective…

Numerical Analysis · Mathematics 2022-10-13 Patrick E. Farrell , Abdalaziz Hamdan , Scott P. MacLachlan

In order to generate initial data for nonlinear relativistic simulations, one needs to solve the Einstein constraints, which can be cast into a coupled set of nonlinear elliptic equations. Here we present an approach for solving these…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Oleg Korobkin , Burak Aksoylu , Michael Holst , Enrique Pazos , Manuel Tiglio

In order to reduce the computational cost of the simulation of electromagnetic responses in geophysical settings that involve highly heterogeneous media, we develop a multiscale finite volume method with oversampling for the quasi-static…

Computational Physics · Physics 2016-10-10 Luz Angelica Caudillo Mata , Eldad Haber , Christoph Schwarzbach

Electromagnetic quasistatic (EMQS) fields, where radiation effects are neglected, while Ohmic losses and electric and magnetic field energies are considered, can be modeled using Darwin-type field models as an approximation to the full…

Computational Engineering, Finance, and Science · Computer Science 2022-04-14 Markus Clemens , Marvin-Lucas Henkel , Fotios Kasolis , Michael Günther , Herbert De Gersem , Sebastian Schöps

Magnetoelectric composites are an important class of multiferroic materials that pave the way towards a new generation of multifunctional devices directly integrable in data storage technology and spintronics. This study focuses on…

The enormous structural and chemical diversity of metal-organic frameworks (MOFs) forces researchers to actively use simulation techniques on an equal footing with experiments. MOFs are widely known for outstanding adsorption properties, so…

Materials Science · Physics 2021-11-22 Vadim V. Korolev , Yurii M. Nevolin , Thomas A. Manz , Pavel V. Protsenko

The swept-field experiments on magnetic molecular solids such as \Fe8 are studied using Monte Carlo simulations. A kinetic equation is developed to understand the phenomenon. It is found that the simulations provide a quantitatively…

Statistical Mechanics · Physics 2015-10-14 Erik Lenferink , Avinash Vijayaraghavan , Anupam Garg

We propose Electrostatic Field Matching (EFM), a novel method that is suitable for both generative modeling and distribution transfer tasks. Our approach is inspired by the physics of an electrical capacitor. We place source and target…

Machine Learning · Computer Science 2025-08-26 Alexander Kolesov , Manukhov Stepan , Vladimir V. Palyulin , Alexander Korotin

Data-driven constitutive modeling is an emerging field in computational solid mechanics with the prospect of significantly relieving the computational costs of hierarchical computational methods. Traditionally, these surrogates have been…

Computational Engineering, Finance, and Science · Computer Science 2022-04-20 Jan Niklas Fuhg , Nikolaos Bouklas

The full-wave simulation of complex electromagnetic surfaces such as reflectarrays and metasurfaces is a challenging problem. In this paper, we present a macromodeling approach to efficiently simulate complex electromagnetic surfaces…

Computational Engineering, Finance, and Science · Computer Science 2020-12-02 Utkarsh R. Patel , Piero Triverio , Sean V. Hum

The development of new computing technologies has given a new stimulus in the study of multiferroics. The use of multiferroics allows the realization of competitive energy efficient scalable logic and storage devices. The low-power…

Materials Science · Physics 2023-10-10 Z. V. Gareeva , N. V. Shulga , A. K. Zvezdin

A semi-implicit finite difference time domain (FDTD) numerical Maxwell solver is developed for full electromagnetic Particle-in-Cell (PIC) codes for the simulations of plasma-based acceleration. The solver projects the volumetric Yee…

Plasma Physics · Physics 2020-08-26 Alexander Pukhov