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This paper presents a novel exact finite element formulation of quasi-3D beam for high-fidelity analysis of functionally graded sandwich beams. Unlike conventional displacement-based elements that rely on approximate interpolation functions…

数值分析 · 数学 2026-01-21 Wenxiong Li , Suiyin Chen

While purely data-driven assessment is feasible for the first levels of the Structural Health Monitoring (SHM) process, namely damage detection and arguably damage localization, this does not hold true for more advanced processes. The tasks…

计算工程、金融与科学 · 计算机科学 2021-05-03 Thomas Simpson , Vasilis Dertimanis , Costas Papadimitriou , Eleni Chatzi

We report on the investigation of an approach for modelling light transmission through systems consisting of several jointed optical fibres, in which the analytical modelling of the waveguides was replaced by Finite Element Modelling (FEM)…

应用物理 · 物理学 2018-07-31 Natascia Castagna , Jacques Morel , Luc Testa , Sven Burger

Despite recent advances in diagnosis and treatment, atherosclerotic coronary artery diseases remain a leading cause of death worldwide. Various imaging modalities and metrics can detect lesions and predict patients at risk; however,…

计算工程、金融与科学 · 计算机科学 2024-05-24 Ross Straughan , Karim Kadry , Sahil A. Parikh , Elazer R. Edelman , Farhad R. Nezami

Methods for solving Maxwell's equations are integral part of optical metrology and computational lithography setups. Applications require accurate geometrical resolution, high numerical accuracy and/or low computation times. We present a…

光学 · 物理学 2015-03-24 S. Burger , L. Zschiedrich , J. Pomplun , S. Herrmann , F. Schmidt

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

Photoemission orbital tomography provides direct access from laboratory measurements to the real-space molecular orbitals of well-ordered organic semiconductor layers. Specifically, the application of phase retrieval algorithms to…

FEpX is a modeling framework for computing the elastoplastic deformations of polycrystalline solids. Using the framework, one can simulate the mechanical behavior of aggregates of crystals, referred to as virtual polycrystals, over large…

材料科学 · 物理学 2015-04-14 Paul R. Dawson , Donald E. Boyce

This article addresses the research question if and how the finite cell method, an embedded domain finite element method of high order, may be used in the simulation of metal deposition to harvest its computational efficiency. This…

数值分析 · 数学 2018-09-26 Ali Özcan , Stefan Kollmannsberger , John N. Jomo , Ernst Rank

Adult spine deformity (ASD) is prevalent and leads to a sagittal misalignment in the vertebral column. Computational methods, including Finite Element (FE) Models, have emerged as valuable tools for investigating the causes and treatment of…

An extremely fast time-harmonic finite element solver developed for the transmission analysis of photonic crystals was applied to mask simulation problems. The applicability was proven by examining a set of typical problems and by a…

光学 · 物理学 2009-05-28 S. Burger , R. Köhle , L. Zschiedrich , W. Gao , F. Schmidt , R. März , C. Nölscher

The Finite element method (FEM) has long served as the computational backbone for topology optimization (TO). However, for designing structures undergoing large deformations, conventional FEM-based TO often exhibits numerical instabilities…

计算工程、金融与科学 · 计算机科学 2026-03-17 Rahul Kumar Padhy , Aaditya Chandrasekhar , Krishnan Suresh

This article is a review on basic concepts and tools devoted to a posteriori error estimation for problems solved with the Finite Element Method. For the sake of simplicity and clarity, we mostly focus on linear elliptic diffusion problems,…

数值分析 · 数学 2021-10-06 Ludovic Chamoin , Frederic Legoll

Several novel imaging and non-destructive testing technologies are based on reconstructing the spatially dependent coefficient in an elliptic partial differential equation from measurements of its solution(s). In practical applications, the…

数值分析 · 数学 2021-08-27 Bastian Harrach

We propose a parametric finite element method (PFEM) for efficiently solving the morphological evolution of solid-state dewetting of thin films on a flat rigid substrate in three dimensions (3D). The interface evolution of the dewetting…

计算物理 · 物理学 2020-03-03 Quan Zhao , Wei Jiang , Weizhu Bao

Adaptive finite elements are the method of choice for accurate simulations of optical components. However as shown recently by Bienstman et al. many finite element mode solvers fail to compute the propagation constant's imaginary part of a…

光学 · 物理学 2009-05-28 L. Zschiedrich , S. Burger , J. Pomplun , F. Schmidt

We use a finite-element method to obtain highly converged results for a nano-optical light scattering setup with a non-periodic geometry.

光学 · 物理学 2013-10-11 S. Burger , L. Zschiedrich , J. Pomplun , F. Schmidt

New low-order $H(\textrm{div})$-conforming finite elements for symmetric tensors are constructed in arbitrary dimension. The space of shape functions is defined by enriching the symmetric quadratic polynomial space with the $(d+1)$-order…

数值分析 · 数学 2024-02-22 Xuehai Huang , Chao Zhang , Yaqian Zhou , Yangxing Zhu

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 thesis we develop a stabilised finite element method for solving the equations of poroelasticity to enable solving complex models of biological tissues such as the human lungs. For the proposed numerical scheme, we use the lowest…

数值分析 · 数学 2016-09-23 Lorenz Berger