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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

The scaled boundary finite element method (SBFEM) is capable of generating polyhedral elements with an arbitrary number of surfaces. This salient feature significantly alleviates the meshing burden being a bottleneck in the analysis…

数学软件 · 计算机科学 2021-04-21 Shukai Ya , Sascha Eisenträger , Chongmin Song , Jianbo Li

The scaled boundary finite element method (SBFEM) is a semi-analytical computational scheme, which is based on the characteristics of the finite element method (FEM) and combines the advantages of the boundary element method (BEM). This…

数值分析 · 数学 2024-10-22 Yang Yang , Zongliang Zhang , Yelin Feng

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…

计算工程、金融与科学 · 计算机科学 2025-08-20 Tan Tran , Denisa Martonova , Sigrid Leyendecker

This study develops a polygonal cell-based smoothed finite element method (CSFEM) for two-dimensional seepage analyses in porous media, covering steady-state, transient, and free-surface problems. Wachspress interpolation on convex…

数值分析 · 数学 2026-02-19 Yang Yang , Mingjiao Yan , Zongliang Zhang , Yinpeng Yin , Qiang Liu , You liang Li

The $\ell$FEM MATLAB package provides a simple, efficient, and flexible implementation of isoparametric finite elements in bulk domains and on surfaces. The finite element matrix assemblies are based on MATLAB's paged operators and…

数值分析 · 数学 2026-05-15 Balázs Kovács , Michael Lantelme

This paper presents a steady-state and transient heat conduction analysis framework using the polygonal scaled boundary finite element method (PSBFEM) with polygon/quadtree meshes. The PSBFEM is implemented with commercial finite element…

数值分析 · 数学 2021-06-24 Yang Yang , Zongliang Zhang , Yelin Feng , Yuzhen Yu , Kun Wang , Lihui Liang

This manuscript presents a practical method for incorporating trained Neural Networks (NNs) into the Finite Element (FE) framework using a user material (UMAT) subroutine. The work exemplifies crystal plasticity, a complex inelastic…

计算物理 · 物理学 2024-10-14 Yuqing He , Yousef Heider , Bernd Markert

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

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

This paper proposes a strategy to solve the problems of the conventional s-version of finite element method (SFEM) fundamentally. Because SFEM can reasonably model an analytical domain by superimposing meshes with different spatial…

数值分析 · 数学 2023-10-09 Nozomi Magome , Naoki Morita , Shigeki Kaneko , Naoto Mitsume

This work develops a polygonal finite element method (PFEM) for the analysis of steady-state and transient thermal stresses in two dimensional continua. The method employs Wachspress rational basis functions to construct conforming…

数值分析 · 数学 2025-04-23 Yang Yang , Mingjiao Yan , Zongliang Zhang , Dengmiao Hao , Xuedong Chen , Weixiong Chen

This paper presents the first time implementation of the eXtended Finite Element Method (XFEM) in the general purpose commercial software COMSOL Multiphysics. An enrichment strategy is proposed, consistent with the structure of the…

计算工程、金融与科学 · 计算机科学 2021-09-08 Ahmad Jafari , Pooyan Broumand , Mohammad Vahab , Nasser Khalili

This paper introduces an accurate edge-based smoothed finite element method (ES-FEM) for electromagnetic analysis for both two dimensional cylindrical and three dimensional cartesian systems, which shows much better performance in terms of…

计算工程、金融与科学 · 计算机科学 2019-10-30 Yangfan Zhang , Pengfei Wang , Wenping Li , Shunchuan Yang

This letter aims at resolving the issues raised in the recent short communication [1] and answered by [2] by proposing a systematic approximation scheme based on non-mapped shape functions, which both allows to fully exploit the unique…

数值分析 · 计算机科学 2011-07-20 Stephane PA Bordas , Sundararajan Natarajan

This manuscript presents the Quantum Finite Element Method (Q-FEM) developed for use in noisy intermediate-scale quantum (NISQ) computers and employs the variational quantum linear solver (VQLS) algorithm. The proposed method leverages the…

量子物理 · 物理学 2025-04-01 Abhishek Arora , Benjamin M. Ward , Caglar Oskay

We present the first rigorous convergence analysis of the smoothed adaptive finite element method (S-AFEM) proposed in [Mulita, Giani, Heltai: SIAM J. Sci. Comput. 43, 2021]. S-AFEM modifies the classical adaptive finite element method…

数值分析 · 数学 2026-01-29 Philipp Bringmann , Christoph Lietz , Dirk Praetorius

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 paper, we present a new immersed finite element scheme for solving elliptic interface problems on unfitted meshes by combining the skeletal finite element method (FEM) with the standard FEM. The skeletal FEM is used for the…

数值分析 · 数学 2025-09-17 Lin Yang , Qilong Zhai

In this article, we present a new unified finite element method (UFEM) for simulation of general Fluid-Structure interaction (FSI) which has the same generality and robustness as monolithic methods but is significantly more computationally…

计算工程、金融与科学 · 计算机科学 2016-08-18 Yongxing Wang , Peter Jimack , Mark Walkley
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