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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)…

数值分析 · 计算机科学 2015-01-28 Gernot Beer , Benjamin Marussig , Jürgen Zechner

The increased availability of observation data from engineering systems in operation poses the question of how to incorporate this data into finite element models. To this end, we propose a novel statistical construction of the finite…

统计方法学 · 统计学 2021-01-25 Mark Girolami , Eky Febrianto , Ge Yin , Fehmi Cirak

The virtual element method (VEM) is a stabilized Galerkin method that is robust and accurate on general polygonal meshes. This feature makes it an appealing candidate for simulations involving meshes with embedded interfaces and evolving…

数值分析 · 数学 2025-10-03 Ramsharan Rangarajan , N. Sukumar

Polytopal Element Methods (PEM) allow to solve differential equations on general polygonal and polyhedral grids, potentially offering great flexibility to mesh generation algorithms. Differently from classical finite element methods, where…

图形学 · 计算机科学 2024-09-23 M. Attene , S. Biasotti , S. Bertoluzza , D. Cabiddu , M. Livesu , G. Patanè , M. Pennacchio , D. Prada , M. Spagnuolo

A hybrid framework integrating the Virtual Element Method (VEM) with deep learning is presented as an initial step toward developing efficient and flexible numerical models for one-dimensional Euler-Bernoulli beams. The primary aim is to…

机器学习 · 计算机科学 2025-01-14 Paulo Akira F. Enabe , Rodrigo Provasi

We propose a boundary element method for the accurate solution of the cell-by-cell bidomain model of electrophysiology. The cell-by-cell model, also called Extracellular-Membrane-Intracellular (EMI) model, is a system of reaction-diffusion…

数值分析 · 数学 2024-06-28 Giacomo Rosilho de Souza , Rolf Krause , Simone Pezzuto

The isogeometric formulation of Boundary Element Method (BEM) is investigated within the adaptivity framework. Suitable weighted quadrature rules to evaluate integrals appearing in the Galerkin BEM formulation of 2D Laplace model problems…

In this paper, the boundary element method is combined with Chebyshev operational matrix technique to solve two-dimensional multi-order time-fractional partial differential equations; nonlinear and linear in respect to spatial and temporal…

偏微分方程分析 · 数学 2020-03-31 Moein Khalighi , Mohammad Amirian Matlob , Alaeddin Malek

Scanning transmission electron microscopy (STEM) is an extremely versatile method for studying materials on the atomic scale. Many STEM experiments are supported or validated with electron scattering simulations. However, using the…

We present the capabilities and results of the Parallel Edge-based Tool for Geophysical Electromagnetic modeling (PETGEM), as well as the physical and numerical foundations upon which it has been developed. PETGEM is an open-source and…

计算物理 · 物理学 2018-08-02 Octavio Castillo-Reyes , Josep de la Puente , José María Cela

Chaotic free surface flows are challenging problems to simulate numerically, mainly due to the significant changes in geometry and frequent topological changes. Methods that track the evolution of the fluid in a Lagrangian formulation are a…

流体动力学 · 物理学 2025-12-24 Thomas Leyssens , Jonathan Lambrechts , Jean-François Remacle

The finite element method (FEM) is among the most commonly used numerical methods for solving engineering problems. Due to its computational cost, various ideas have been introduced to reduce computation times, such as domain decomposition,…

计算工程、金融与科学 · 计算机科学 2019-11-07 Andrea Mendizabal , Pablo Márquez-Neila , Stéphane Cotin

A simple position-dependent body force-based confinement for simulating triaxial tests using the Discrete Element Method is presented. The said method is used to perform triaxial simulations on mono-disperse and segregated assemblies of…

软凝聚态物质 · 物理学 2024-05-27 Venkata Rama Manoj Pola , Ratna Kumar Annabattula

An Isogeometric Boundary Element Method (IgA-BEM) is considered for the numerical solution of Helmholtz problems on 3D bounded or unbounded domains, admitting a smooth conformal multi-patch representation of their finite boundary surface.…

数值分析 · 数学 2022-12-26 Antonella Falini , Tadej Kanduc , Maria Lucia Sampoli , Alessandra Sestini

Discharge of hazardous substances into the marine environment poses a substantial risk to both public health and the ecosystem. In such incidents, it is imperative to accurately estimate the release strength of the source and reconstruct…

信号处理 · 电气工程与系统科学 2024-10-29 Yang Liu , Christopher M. Harvey , Frederick E. Hamlyn , Cunjia Liu

The Finite Element Method (FEM) is the gold standard for spatial discretization in numerical simulations for a wide spectrum of real-world engineering problems. Prototypical areas of interest include linear heat transfer and linear…

数值分析 · 数学 2022-01-10 Marcelo Forets , Daniel Freire Caporale , Jorge M. Pérez Zerpa

This work develops an elasto-plastic cell-based smoothed finite element method (CSFEM) for geotechnical analysis. The formulation incorporates a smoothed strain field into the standard elasto-plastic framework based on the Mohr-Coulomb…

数值分析 · 数学 2025-11-26 Yang Yang , Mingjiao Yan , Zongliang Zhang , Miao Zhang , Feidong Zheng , Dong Pan , Xiaozi Lin

Non Uniform Rational B-spline (NURBS) patches are a standard way to describe complex geometries in Computer Aided Design tools, and have gained a lot of popularity in recent years also for the approximation of partial differential…

数值分析 · 数学 2018-07-04 Giuseppe Pitton , Luca Heltai

The use of glass for pharmaceutical new applications such as high-technology drugs, requires the strictest container inertness. A common theme of paramount importance in glass container integrity preservation is the detailed mechanism…

This paper describes the use of the corotational cut Finite Element Method (FEM) for real-time surgical simulation. Users only need to provide a background mesh which is not necessarily conforming to the boundaries/interfaces of the…

计算工程、金融与科学 · 计算机科学 2018-11-20 Huu Phuoc Bui , Satyendra Tomar , Stéphane P. A. Bordas