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In this paper, we introduce the Phantom Domain Finite Element Method (PDFEM), a novel computational approach tailored for the efficient analysis of heterogeneous and composite materials. Inspired by fictitious domain methods, this method…

Numerical Analysis · Mathematics 2025-05-06 Tianlong He , Philippe Karamian-Surville , Daniel Choï

This paper presents two approaches: the virtual element method (VEM) and the stabilization-free virtual element method (SFVEM) for analyzing thermomechanical behavior in electronic packaging structures with geometric multi-scale features.…

Numerical Analysis · Mathematics 2025-12-29 Yanpeng Gong , Sishuai Li , Fei Qin , Bingbing Xu

This paper introduces a smart model for intelligent energy management of steam generators which are utilized for steam generator and controlling the air to fuel ratio for steam generator all over the firing curve and transient mode…

Signal Processing · Electrical Eng. & Systems 2024-06-26 Ahmed S. Hussein , Noha H. El-Amary , Loai Saad El-din Nasrat , Ali Selim

It is often difficult to quantitatively determine if a new molecular simulation algorithm or software properly implements sampling of the desired thermodynamic ensemble. We present some simple statistical analysis procedures to allow…

Statistical Mechanics · Physics 2013-03-04 Michael R. Shirts

We present a multiscale simulation framework that couples the Finite Element Method with molecular dynamics. Bypassing traditional equations of state (EOS) by using in-line atomistic simulations, the method offers the advantage of…

We present a new parallel spectral element solver, FNPF-SEM, for simulating linear and fully nonlinear potential flow-based water waves and their interaction with offshore structures. The tool is designed as a general-purpose wave model for…

Numerical Analysis · Mathematics 2025-06-12 Jens Visbech , Anders Melander , Allan Peter Engsig-Karup

We propose a numerical integrator for the coupled system of the eddy-current equation with the nonlinear Landau-Lifshitz-Gilbert equation. The considered effective field contains a general field contribution, and we particularly cover…

Numerical Analysis · Mathematics 2015-04-24 Kim-Ngan Le , Marcus Page , Dirk Praetorius , Thanh Tran

We introduce an efficient finite-element approach for large-scale real-space pseudopotential density functional theory (DFT) calculations incorporating noncollinear magnetism and spin-orbit coupling. The approach, implemented within the…

Materials Science · Physics 2025-06-11 Nikhil Kodali , Phani Motamarri

We make progress towards a 3D finite-element model for the magnetization of a high temperature superconductor (HTS): We suggest a method that takes into account demagnetisation effects and flux creep, while it neglects the effects…

The development of thermal stresses inside refractory ceramics experiencing severe thermal shock is studied. The present analysis departs from the linear theory of thermal stresses as it accounts for temperature dependent thermal and…

Materials Science · Physics 2015-12-02 Theodosios K. Papathanasiou , Francesco Dal Corso , Andrea Piccolroaz

Computational modelling offers a cost-effective and time-efficient alternative to experimental studies in biomedical engineering. In cardiac electro-mechanics, finite element method (FEM)-based simulations provide valuable insights into…

Computational Engineering, Finance, and Science · Computer Science 2025-08-20 Tan Tran , Denisa Martonova , Sigrid Leyendecker

The recently proposed soft finite element method (SoftFEM) reduces the stiffness (condition numbers), consequently improving the overall approximation accuracy. The method subtracts a least-square term that penalizes the gradient jumps…

Numerical Analysis · Mathematics 2024-02-27 Jipei Chen , Victor M. Calo , Quanling Deng

This paper validates 3D simulation results of electron beam melting (EBM) processes comparing experimental and numerical data. The physical setup is presented which is discretized by a three dimensional (3D) thermal lattice Boltzmann method…

Computational Engineering, Finance, and Science · Computer Science 2014-02-12 Regina Ammer , Matthias Markl , Vera Jüchter , Carolin Körner , Ulrich Rüde

Finite element models of electrical machines allow insights in electrothermal stresses which endanger the insulation system of the machine. This paper presents a thermal finite element model of a 3.7 kW squirrel-cage induction machine. The…

Computational Engineering, Finance, and Science · Computer Science 2023-11-16 Christian Bergfried , Yvonne Späck-Leigsnering , Roland Seebacher , Heinrich Eickhoff , Annette Muetze

SfePy (Simple finite elements in Python) is a software for solving various kinds of problems described by partial differential equations in one, two or three spatial dimensions by the finite element method. Its source code is mostly (85\%)…

Mathematical Software · Computer Science 2019-08-20 Robert Cimrman , Vladimír Lukeš , Eduard Rohan

The peridynamic theory brings advantages in dealing with discontinuities, dynamic loading, and non-locality. The integro-differential formulation of peridynamics poses challenges to numerical solutions of complicated and practical problems.…

Numerical Analysis · Mathematics 2021-06-01 Xue Liang , Linjuan Wang , Jifeng Xu , Jianxiang Wang

Thermal simulation plays a fundamental role in the thermal design of integrated circuits, especially 3D ICs. Current simulators require significant runtime for high-resolution simulation, and dismiss the complex nonlinear thermal effects,…

Applied Physics · Physics 2026-01-19 Qipan Wang , Tianxiang Zhu , Yibo Lin , Runsheng Wang , Ru Huang

The computation of damping rates of an oscillating fluid with a free surface in which viscosity is small and surface tension high is numerically challenging. A typical application requiring such computation is drop-on-demand (DoD)…

Computational Physics · Physics 2024-12-11 Søren Taverniers , Svyatoslav Korneev , Christoforos Somarakis , Morad Behandish , Adrian J. Lew

This work deals with Direct Numerical Simulations (DNS) and Large Eddy Simulations (LES) of turbulent gravity currents, performed by means of a Discontinuous Galerkin (DG) Finite Element method. In particular, a DG-LES approach in which the…

Computational Physics · Physics 2016-12-23 C. Bassi , A. Abbà , L. Bonaventura , L. Valdettaro

Workflow support typically focuses on single simulation experiments. This is also the case for simulation based on finite element methods. If entire simulation studies shall be supported, flexible means for intertwining revising the model,…

Computational Engineering, Finance, and Science · Computer Science 2020-10-16 Andreas Ruscheinski , Pia Wilsdorf , Julius Zimmermann , Ursula van Rienen , Adelinde M. Uhrmacher
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