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SPIE Photonics West Conference on Emerging Liquid Crystal Technologies VIII

作者： Burger, Sven Zschiedrich, Lin Pomplun, Jan Blome, Mark Schmidt, Frank JCMwave GmbH Bolivarallee 22 D-14050 Berlin Germany Zuse Inst Berlin D-14195 Berlin Germany

ISBN: (纸本)9780819494115

An overview on recent applications of the finite-element method Maxwell-solver JCMsuite to simulation tasks in nanooptics is given. Numerical achievements in the fields of optical metamaterials, plasmonics, photonic crystal fibers, light emitting devices, solar cells, optical lithography, optical metrology, integrated optics, and photonic crystals are summarized.

关键词： 3D electromagnetic field simulations finite-element methods Maxwell-solver nanooptics nanophotonics

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Estimating Sliding and Penetrating Resistances of a Tolerably Mobile Subsea Mudmat: Large Deformation Modeling and Theoretical Framework

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JOURNAL OF GEOTECHNICAL AND GEOENVIRONMENTAL ENGINEERING 2025年第6期151卷

作者： Liu, Kehan Wang, Dong Fu, Dengfeng Ocean Univ China Shandong Engn Res Ctr Marine Explorat & Conservat 238 Songling Rd Qingdao 266100 Peoples R China Qingdao Marine Sci & Technol Ctr Lab Marine Geol Qingdao 266237 Peoples R China

A tolerably mobile mudmat suffers from long-term maintained self-weight and periodic sliding events with intervening consolidation during its whole life, resulting in changes in seabed strength and mudmat capacity. In this paper, the performance of a mobile mudmat founded on fine-grained soil is investigated through results of a coupled large deformation finite-element (LDFE) analysis, with focus on the consolidation effect induced from the installation. A series of LDFE simulations of several typical field scenarios is undertaken, which provide the basis for developing an extended effective stress framework. The main development is the extended reconsolidation solution allowing coupled dissipation of excess pore pressure that remains from partial installation consolidation and is progressively generated from cyclic shearing. Dissipations of the excess pore pressures caused by vertical self-weight load and horizontal sliding are calculated respectively. Existing centrifuge tests on kaolin clay are reproduced to validate the performances of both LDFE and framework simulations. Variations in stress state and strength profile are discussed to interpret the changing sliding and penetrating resistances. A shorter installation period followed by frequent slide events is found to contribute to a rapid hardening of resistance. The framework approach is further examined through retrospective simulations of centrifuge tests performed on an offshore carbonate silt, which demonstrates its robustness in practice.

关键词： Consolidation Bearing capacity Shallow foundations finite-element methods Theoretical analysis

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Insight into soil-anchor interface frictional resistance for dynamically installed maverick anchor

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GEOTECHNIQUE 2025年

作者： Bae, Junsik Hossain, Muhammad Shazzad Kim, Youngho Univ Western Australia Ctr Offshore Fdn Syst COFS Sch Earth & Oceans Perth WA Australia

This paper investigates soil-anchor interface frictional resistance, linking directly to the mobilised soil failure mechanisms, during the dynamic installation of a maverick anchor in clay. Systematic finite-element analyses were performed using Abaqus/CEL, varying the undrained shear strength of the soil and impact velocity of the anchor. The numerical model incorporated the recently developed integrated nodal frictional algorithm (INFA) for precisely capturing the behaviour of the interface between soil and anchor. The performance of the maverick anchor, in terms of final embedment depth, and end bearing and frictional resistance profiles, was compared with that of other existing and proposed anchors. The results showed that the maverick anchor has achieved remarkable embedment depths by effectively reducing interface frictional resistance. Interestingly, contact area, between the surface of the installing anchor and the adjacent soil, varied with penetration velocity and corresponding soil failure mechanics, influencing frictional resistance at a penetration depth. Thus, a new factor (termed the 'corrected cavity expansion factor') was introduced to account for the evolving contact area in relation to the soil failure mechanisms. Finally, the application of the corrected cavity expansion factor for assessing anchor tip embedment depth using an expression based on Newton's second law of motion was highlighted.

关键词： anchors & anchorages cavity expansion factor clays finite-element methods soil-anchor interface frictional resistance soil failure mechanisms

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A novel subgridding scheme based on a combination of the finite-element and finite-difference time-domain methods

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IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 1998年第9期46卷 1391-1393页

作者： Monorchio, A Mittra, R Univ Pisa Dept Informat Engn I-56126 Pisa Italy Penn State Univ Electromagnet Commun Res Lab University Pk PA 16802 USA

A simple and versatile local mesh refinement scheme, based on the hybridization of the finite-element (FE) and the finite-difference time-domain (FDTD) algorithms, is presented in this letter. The scheme achieves considerable flexibility in subgridding by using a transition region between the coarse and fine FDTD grids, meshed according to an unstructured grid, and solved by means of the FE method in TD. An interpolation scheme in the time domain, which allows the use of different time steps in the coarse and fine mesh regions, is included in the paper.

关键词： FDTD methods finite-element methods

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On the formulation of hybrid finite-element and boundary-integral methods for 3-D scattering

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IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 1998年第3期46卷 303-311页

作者： Sheng, XQ Jin, JM Song, JM Lu, CC Chew, WC Univ Illinois Ctr Computat Electromagnet Dept Elect & Comp Engn Urbana IL 61801 USA

This paper studies, in detail, a variety of formulations for the hybrid finite-element and boundary-integral (FE-BI) method for three-dimensional (3-D) electromagnetic scattering by inhomogeneous objects. It is shown that the efficiency and accuracy of the FE-BI method depends highly on the formulation and discretization of the boundary-integral equation (BIE) used. A simple analysis of the matrix condition number identifies the efficiency of the different FE-BI formulations and an analysis of weighting functions shows that the traditional FE-BI formulations cannot produce accurate solutions. A new formulation is then proposed and numerical results show that the resulting solution has a good efficiency and accuracy and is completely immune to the problem of interior resonance. Finally, the multilevel fast multipole algorithm (MLFMA) is employed to significantly reduce the memory requirement and computational complexity of the proposed FE-BI method.

关键词： boundary-integral equations electromagnetic scattering finite-element methods nonhomogeneous media

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HIGH-ORDER ADAPTIVE finite element-SINGLY IMPLICIT RUNGE-KUTTA methods FOR PARABOLIC DIFFERENTIAL-EQUATIONS

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BIT 1993年第2期33卷 309-331页

作者： MOORE, PK FLAHERTY, JE TULANE UNIV DEPT MATHNEW ORLEANSLA 70118 RENSSELAER POLYTECH INST DEPT COMP SCITROYNY 12180

We describe an adaptive mesh refinement finite element method-of-lines procedure for solving one-dimensional parabolic partial differential equations. Solutions are calculated using Galerkin's method with a piecewise hierarchical polynomial basis in space and singly implicit Runge-Kutta (SIRK) methods in time. A modified SIRK formulation eliminates a linear systems solution that is required by the traditional SIRK formulation and leads to a new reduced-order interpolation formula. Stability and temporal error estimation techniques allow acceptance of approximate solutions at intermediate stages, yielding increased efficiency when solving partial differential equations. A priori energy estimates of the local discretization error are obtained for a nonlinear scalar problem. A posteriori estimates of local spatial discretization errors, obtained by order variation, are used with the a priori error estimates to control the adaptive mesh refinement strategy. Computational results suggest convergence of the a posteriori error estimate to the exact discretization error and verify the utility of the adaptive technique.

关键词： SINGLY IMPLICIT RUNGE-KUTTA methods finite-element methods ADAPTIVE MESH REFINEMENT ERROR ESTIMATION

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Numerical Partial Differential Equations

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丛书名： Computational Science & Engineering

2025年

作者： James H. Adler Hans De Sterck Scott MacLachlan Luke Olson

Get 10% off by pre-ordering this book.This item has not yet published. Pre-order now and we will ship and process payment when the book becomes available.To pre-order contact Customer Service:800-447-SIAM (US &amp... 详细信息

ISBN: (数字)9781611978285

ISBN: (纸本)9781611978278

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Publishing May 2025

This comprehensive textbook focuses on numerical methods for approximating solutions to partial differential equations (PDEs). The authors present a broad survey of these methods, introducing readers to the central concepts of various families of discretizations and solution algorithms and laying the foundation needed to understand more advanced material. The authors include over 100 well-established definitions, theorems, corollaries, and lemmas and summaries of and references to in-depth treatments of more advanced mathematics when needed.

Numerical Partial Differential Equations is divided into four parts:

Part I covers basic background on PDEs and numerical methods.
Part II introduces the three main classes of numerical methods for PDEs that are the book's focus (finite-difference, finite-element, and finite-volume methods).
Part III discusses linear solvers and finite-element and finite-volume methods at a more advanced level.
Part IV presents further high-level topics on discretizations and solvers.

关键词： finite-element methods finite-difference methods finite-volume methods iterative methods preconditioning hyperbolic conservation laws elliptic equations diffusion equations multigrid methods consistency stability accuracy of discretizations partial differential equations

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finite-element-based assessment of analytical methods for the design of fuselage frames

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PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART G-JOURNAL OF AEROSPACE ENGINEERING 2006年第G5期220卷 387-398页

作者： Boni, L. Fanteria, D. Univ Pisa Dept Aerosp Engn I-56126 Pisa Italy

The paper presents the results of a number of finite-element analyses carried out to support the development of an analytical design procedure for fuselage frames of a transport aircraft. The numerical simulation by means of finite-element method has the aim of developing an adequate sensitivity about the advantages and the limitations of the analytical approach and in quantifying the magnitude of such limitations with respect to more refined design tools. In particular, the final objective is to achieve a deeper insight into some of the design aspects of the frames, such as the influence of realistic load cases and the effects of the frames on the behaviour of the structure in their vicinity. The results indicate that the analytical design method is capable of describing correctly the influence of the frame on the stress state of the structure at a sufficient distance from the frame location, in the simplifying hypothesis of negligible effects of adjacent loaded frames. In the immediate surroundings of the frame and within the frame itself, the analytical method can provide a first approximation of the stress fields.

关键词： frame design fuselage design finite-element methods structural optimisation

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A comparative analysis of two test methods of measuring d- and q-axes inductances of interior permanent-magnet machine

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IEEE TRANSACTIONS ON MAGNETICS 2006年第11期42卷 3712-3718页

作者： Dutta, Rukmi Rahman, M. F. Univ New S Wales Sch Elect Engn & Telecom Sydney NSW 2052 Australia

The interior permanent-magnet (IPM) machine is used in many industrial drives. In order to analyze performance and to design efficient and fast controllers, accurate knowledge of machine parameters such as d- and q-axes inductances is essential. Although there are a number of methods available to calculate these inductances, none of them is considered standard. Accuracy levels of all these methods are also not consistent, and some of the measurement methods require complicated arrangements. Among these test methods, the ac standstill test and a newly developed test method that uses vector current control technique are ideal for a laboratory environment. In this paper, these two methods are compared by applying them to a prototype IPM machine. The paper analyzes the test results of the methods and their differences in detail with the help of finite-element analysis.

关键词： finite-element methods inductance measurement interior permanent-magnet (IPM) machines

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Nodal diffusion methods for space-time neutron kinetics

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PROGRESS IN NUCLEAR ENERGY 2007年第3期49卷 181-216页

作者： Grossman, Lawrence M. Hennart, Jean-Pierre Univ Nacl Autonoma Mexico Mexico City 11570 DF Mexico Univ Calif Berkeley Berkeley CA 94720 USA

After recalling the space-time kinetics equations, the finite-element method is presented as a general discretization technique and then applied to the so-called nodal diffusion methods, both primal and mixed-hybrid ones, for the space discretization. In the last section of the paper, a general nodal formalism is applied to the time discretization. (C) 2006 Elsevier Ltd. All rights reserved.

关键词： nodal methods diffusion equations finite-element methods space-time kinetics

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