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Related papers: Finite Element Formulations for Beam-to-Solid Inte…

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We analyse wave propagation in two-dimensional bianisotropic media with the Finite Element Method (FEM). We start from the Maxwell-Tellegen's equations in bianisotropic media, and derive some system of coupled Partial Difference Equations…

Optics · Physics 2016-12-21 Yan Liu , Boris Gralak , Sebastien Guenneau

We present a consistent approach that allows to solve challenging general nonlinear fluid-structure-contact interaction (FSCI) problems. The underlying continuous formulation includes both "no-slip" fluid-structure interaction as well as…

Computational Engineering, Finance, and Science · Computer Science 2019-05-24 Christoph Ager , Alexander Seitz , Wolfgang A. Wall

We present a theoretical and computational model for the behavior of a porous solid undergoing two interdependent processes, the finite deformation of a solid and species migration through the solid, which are distinct in bulk and on…

Soft Condensed Matter · Physics 2023-05-16 Jaemin Kim , Ida Ang , Francesco Ballarin , Chung-Yuen Hui , Nikolaos Bouklas

Electrical machines commonly consist of moving and stationary parts. The field simulation of such devices can be very demanding if the underlying numerical scheme is solely based on a domain discretization, such as in case of the Finite…

Computational Engineering, Finance, and Science · Computer Science 2017-09-18 Lars Kielhorn , Thomas Rüberg , Jürgen Zechner

We present 2-D, 3-D, and spherical mesh generators for the Finite Element Method (FEM) using triangular and tetrahedral elements. The mesh nodes are treated as if they were linked by virtual springs that obey Hooke's law. Given the desired…

Computational Geometry · Computer Science 2017-11-20 J. M. Taramón , J. P. Morgan , C. Shi , J. Hasenclever

Isogeometrically enriched finite elements offer efficient localized isogeometric analysis (IGA) enrichment for numerical simulations involving large computational domains. This is achieved by employing surface enriched elements to interface…

Fluid Dynamics · Physics 2017-11-30 Raheel Rasool , Maximilian Harmel , Roger A. Sauer

During the last ten years, increasing efforts were made to improve and simplify the process from Computer Aided Design (CAD) modeling to a numerical simulation. It has been shown that the transition from one model to another, i.e. the…

Computational Engineering, Finance, and Science · Computer Science 2018-10-01 Benjamin Wassermann , Stefan Kollmannsberger , Tino Bog , Ernst Rank

The virtual element method (VEM) allows discretization of the problem domain with polygons in 2D. The polygons can have an arbitrary number of sides and can be concave or convex. These features, among others, are attractive for meshing…

Numerical Analysis · Mathematics 2023-10-06 L. L. Yaw

This work undertakes to combine the interests of IsoGeometric Analysis (IGA) and standard Finite Element Methods (FEM) for the global/local simulation of structures. The idea is to adopt a hybrid global-IGA/local-FEM modeling, thereby…

Numerical Analysis · Mathematics 2022-11-14 Evgeniia Lapina , Paul Oumaziz , Robin Bouclier , Jean-Charles Passieux

Soft-bubble tactile sensors have the potential to capture dense contact and force information across a large contact surface. However, it is difficult to extract contact forces directly from observing the bubble surface because local…

Robotics · Computer Science 2023-10-18 Jing-Chen Peng , Shaoxiong Yao , Kris Hauser

In nodal based finite element method (FEM), degrees of freedom are associated with the nodes of the element whereas, for edge FEM, degrees of freedom are assigned to the edges of the element. Edge element is constructed based on Whitney…

Numerical Analysis · Mathematics 2022-03-29 Durgarao Kamireddy , Saurabh Madhukar Chavan , Arup Nandy

A finite element simulation of the mechanical behaviour of woven textile materials at the scale of individual fibers is proposed in this paper. The aim of the simulation is to understand and identify phenomena involved at different scales…

Soft Condensed Matter · Physics 2008-12-18 Damien Durville

A precise domain triangulation is recognized as indispensable for the accurate numerical approximation of differential operators within collocation methods, leading to a substantial reduction in discretization errors. An efficient finite…

Numerical Analysis · Mathematics 2025-07-15 G. Shylaja , V. Kesavulu Naidu , B. Venkatesh , S. M. Mallikarjunaiah

Nonlocality brings many challenges to the implementation of finite element methods (FEM) for nonlocal problems, such as large number of queries and invoke operations on the meshes. Besides, the interactions are usually limited to Euclidean…

Numerical Analysis · Mathematics 2023-02-16 Gengjian Chen , Yuheng Ma , Jiwei Zhang

Elastic contact in hydrodynamic environments is a complex multiphysics phenomenon and can be found in applications ranging from engineering to biological systems. Understanding the intricacies of this coupled problem requires the…

Fluid Dynamics · Physics 2024-09-17 Biswajeet Rath , Xiaoyu Mao , Rajeev K. Jaiman

Soft materials with a liquid component are an emerging paradigm in materials design. The incorporation of a liquid phase, such as water, liquid metals, or complex fluids, into solid materials imparts unique properties and characteristics…

Soft Condensed Matter · Physics 2021-06-18 Robert W. Style , Ravi Tutika , Jin Young Kim , Michael D. Bartlett

Th is paper is motivated by the growing importance of better understanding of the phenomena and consequences of high- intensity energetic particle beam interactions with accelerator, generic target , and detector components. It reviews the…

Accelerator Physics · Physics 2016-08-09 N. V. Mokhov , F. Cerutti

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

We present a methodology to simulate the mechanics of knots in elastic rods using geometrically nonlinear, full three-dimensional (3D) finite element analysis. We focus on the mechanical behavior of knots in tight configurations, for which…

Soft Condensed Matter · Physics 2021-02-03 Changyeob Baek , Paul Johanns , Tomohiko G. Sano , Paul Grandgeorge , Pedro M. Reis

Networks of flexible filaments often involve regions of tight contact. Predictively understanding the equilibrium configurations of these systems is challenging due to intricate couplings between topology, geometry, large nonlinear…