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We explore the recently-proposed Virtual Element Method (VEM) for numerical solution of boundary value problems on arbitrary polyhedral meshes. More specifically, we focus on the elasticity equations in three-dimensions and elaborate upon…

数值分析 · 数学 2015-07-22 Arun L. Gain , Cameron Talischi , Glaucio H. Paulino

Accurately predicting wave-structure interactions is critical for the effective design and analysis of marine structures. This is typically achieved using solvers that employ the boundary element method (BEM), which relies on linear…

计算工程、金融与科学 · 计算机科学 2025-09-04 Kapil Khanal , Carlos A. Michelén Ströfer , Matthieu Ancellin , Maha Haji

We provide a numerical platform for the analysis of particle shape and topology effect on the macroscopic behavior of granular media. We work within a Discrete Element Method (DEM) framework and apply a peridynamic model for deformable…

软凝聚态物质 · 物理学 2023-08-09 Debdeep Bhattacharya , Robert P. Lipton

We present a new formulation of the Boundary Element Method (BEM) for simulating the non-adhesive and adhesive contact between an indenter of arbitrary shape and an elastic half-space coated with an elastic layer of different material. We…

软凝聚态物质 · 物理学 2018-07-06 Qiang Li , Roman Pohrt , Iakov A. Lyashenko , Valentin L. Popov

We revisit the cell-based smoothed finite element method (SFEM) for quadrilateral elements and extend it to arbitrary polygons and polyhedrons in 2D and 3D, respectively. We highlight the similarity between the SFEM and the virtual element…

数值分析 · 数学 2014-10-08 Sundararajan Natarajan , Stéphane P. A. Bordas , Ean Tat Ooi

The aim of this study was to check how efficient can be smoothed finite element method (FEM) for solution of the linear fracture mechanics problems. Accuracy of stress intensity factor (SIF) computation were investigated using three types…

计算工程、金融与科学 · 计算机科学 2019-03-28 I. V. Rokach

Numerical homogenization for mechanical multiscale modeling by means of the finite element method (FEM) is an elegant way of obtaining structure-property relations, if the behavior of the constituents of the lower scale is well understood.…

数值分析 · 数学 2025-08-07 Nils Lange , Geralf Hütter , Bjoern Kiefer

Concrete heterogeneity originates from its production process, which involves bonding aggregates with a binder matrix. This study presents a mesoscale finite element model (MFEM) that offers detailed insights into the fracture process at…

材料科学 · 物理学 2025-09-17 Jan Mašek , Petr Miarka

This paper presents transient numerical simulations of hydraulic systems in engineering applications using the spectral element method (SEM). Along with a detailed description of the underlying numerical method, it is shown that the SEM…

This article addresses the problem of efficient Bayesian inference in dynamic systems using particle methods and makes a number of contributions. First, we develop a correlated pseudo-marginal (CPM) approach for Bayesian inference in state…

统计方法学 · 统计学 2016-12-22 P. Choppala , D. Gunawan , J. Chen , M. -N. Tran , R. Kohn

This work presents a practical finite element modeling strategy, the Crack Element Method (CEM), for simulating the dynamic crack propagation in two-dimensional structures. The method employs an element-splitting algorithm based on the…

计算工程、金融与科学 · 计算机科学 2025-08-04 Yuxi Xie , Ethan J. Wu , Lu Xu , Jimmy Perez , Shaofan Li

In this work, possibility of simulating biological organs in realtime using the Boundary Element Method (BEM) is investigated. Biological organs are assumed to follow linear elastostatic material behavior, and constant boundary element is…

计算工程、金融与科学 · 计算机科学 2014-02-11 Kirana Kumara P

In this study, we present the bicubic Hermite element method (BHEM), a new computational framework devised for the elastodynamic simulation of parametric thin-shell structures. The BHEM is constructed based on parametric quadrilateral…

图形学 · 计算机科学 2025-03-28 Xingyu Ni , Xuwen Chen , Cheng Yu , Bin Wang , Baoquan Chen

This paper deals with the discrete counterpart of 2D elliptic model problems rewritten in terms of Boundary Integral Equations. The study is done within the framework of Isogeometric Analysis based on B-splines. In such a context, the…

数值分析 · 数学 2018-02-14 A. Aimi , F. Calabrò , M. Diligenti , M. L. Sampoli , G. Sangalli , A. Sestini

In this work we present a novel bulk-surface virtual element method (BSVEM) for the numerical approximation of elliptic bulk-surface partial differential equations (BSPDEs) in three space dimensions. The BSVEM is based on the discretisation…

数值分析 · 数学 2023-05-24 Massimo Frittelli , Anotida Madzvamuse , Ivonne Sgura

Responding to a lack in the literature, mechanical properties of polygonal wood particles are determined for use in a discrete element model (DEM) for flow analysis in silos, and some methods are proposed for determining such parameters.…

The finite element method (FEM) is a well-established numerical method for solving partial differential equations (PDEs). However, its mesh-based nature gives rise to substantial computational costs, especially for complex multiscale…

计算工程、金融与科学 · 计算机科学 2025-06-24 Weihang Ouyang , Yeonjong Shin , Si-Wei Liu , Lu Lu

A model for computing acoustic scattering by a swimbladdered fish with coupling to surrounding fish tissue that is assumed to behave as a homogeneous fluid, is presented. Mathematically, this corresponds to considering the problem of two…

计算物理 · 物理学 2020-08-03 Juan D. Gonzalez , Edmundo F. Lavia , Silvia Blanc , Martin Maas , Adrián Madirolas

A highly efficient fast boundary element method (BEM) for solving large-scale engineering acoustic problems in a broad frequency range is developed and implemented. The acoustic problems are modeled by the Burton-Miller boundary integral…

数值分析 · 计算机科学 2015-11-16 Yanchuang Cao , Lihua Wen , Jinyou Xiao

One of the most suitable methods for modeling fully dynamic earthquake cycle simulations is the spectral boundary integral element method (sBIEM), which takes advantage of the fast Fourier transform (FFT) to make a complex numerical dynamic…

地球物理 · 物理学 2022-02-09 Pierre Romanet , So Ozawa