Relevant bibliographies by topics / Boundary element methods – Mathematical models

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Boundary element methods – Mathematical models'

Author: Grafiati
Published: 4 June 2021
Last updated: 28 January 2023

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Journal articles on the topic "Boundary element methods – Mathematical models"

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Sheng, X., C. J. C. Jones, and D. J. Thompson. "Modelling ground vibration from railways using wavenumber finite- and boundary-element methods." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, no. 2059 (2005): 2043–70. http://dx.doi.org/10.1098/rspa.2005.1450.

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A mathematical model is presented for ground vibration induced by trains, which uses wavenumber finite- and boundary-element methods. The track, tunnel and ground are assumed homogeneous and infinitely long in the track direction ( x -direction). The models are formulated in terms of the wavenumber in the x -direction and discretization in the yz -plane. The effect of load motion in the x -direction is included. Compared with a conventional, three-dimensional finite- or boundary-element model, this is computationally faster and requires far less memory, even though calculations must be perform
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Čavka, Damir, Dragan Poljak, and Andres Peratta. "Comparison Between Finite and Boundary Element Methods for Analysis of Electrostatic Field Around Human Head Generated by Video Display Units." Journal of Communications Software and Systems 7, no. 1 (2011): 22. http://dx.doi.org/10.24138/jcomss.v7i1.184.

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Boundary and finite element modeling approach to the assessment of electrostatic field on human head generated by Video Display Units (VDU’s) are compared and discussed. Attention is focused to the field distribution over the surface of the face. The mathematical formulation for the assessment of the electrostatic field is based on the Laplace equation for the electric scalar potential. The electrostatic field is calculated for two different models of face. Numerical results are presented and compared in order to estimate the accuracy and computational efficiency of the two methods for the con
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M, Berdnyk. "Mathematical modeling of temperature fields in antenna reflectors of space vehicles." Artificial Intelligence 27, jai2022.27(1) (2022): 212–18. http://dx.doi.org/10.15407/jai2022.01.212.

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The main factor that determines the distortion of the shape of the reflectors in outer space is the temperature deformation due to the uneven distribution of heat fluxes in the structural elements. Therefore, it is important to develop models and methods for calculating temperature fields in reflectors with uneven distribution of heat fluxes on the surface. The use of such methods will reduce the number of expensive field experiments. The paper first constructs a mathematical model for calculating temperature fields in a parabolic reflex antenna, in the form of a paraboloid of rotation rotatin
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Arora, Vikas. "Comparative study of finite element model updating methods." Journal of Vibration and Control 17, no. 13 (2011): 2023–39. http://dx.doi.org/10.1177/1077546310395967.

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The effects of vibrations present major hazards and operating limitations ranging from discomfort (including noise), malfunctioning, reduced performance, early breakdown and structural failure which, in the worst case can be catastrophic. Hence, accurate mathematical models are required to describe the vibration characteristics of structures, which subsequently can be used for design purposes to limit the negative effects of vibrations. Finite element (FE) predictions are often called into question when they are in conflict with test results. Inaccuracies in FE models and errors in results pre
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Soloveva, Anastasia A., and Sergey A. Solovev. "Reliability analysis of planar steel trusses based on p-box models." Vestnik MGSU, no. 2 (February 2021): 153–67. http://dx.doi.org/10.22227/1997-0935.2021.2.153-167.

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Introduction. The development of probabilistic approaches to the assessment of mechanical safety of bearing structural elements is one of the most relevant areas of research in the construction industry. In this research, probabilistic methods are developed to perform the reliability analysis of steel truss elements using the p-box (probability box) approach. This approach ensures a more conservative (interval-based) reliability assessment made within the framework of attaining practical objectives of the reliability analysis of planar trusses and their elements. The truss is analyzed as a pro
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Mello, Carlos Eduardo Ferraz de. "BEM numerical simulation of spillway flows." Rem: Revista Escola de Minas 67, no. 1 (2014): 21–26. http://dx.doi.org/10.1590/s0370-44672014000100003.

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The study of gravity-free surface flows presents difficulties, such as the nonlinearity of the dynamic boundary condition in the free surface, and also the fact that the location of this surface is not known a priori. Traditionally, this phenomenon has been investigated by physical models, but the progress of computer science and numeric methods has allowed more and more the successful use of mathematical models to simulate this type of flow. This work presents a boundary element method (BEM) numerical simulation of spillway flows with discontinuous linear elements. The solution procedure invo
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SHAW, RICHARD PAUL, PAUL VAN SLOOTEN, and MATTHEW NOBILE. "OPTIMAL SOURCE LOCATIONS FOR VARIOUS GEOMETRIES FOR ACOUSTIC REFLECTORS BY BOUNDARY ELEMENT METHODS." Journal of Computational Acoustics 02, no. 04 (1994): 423–39. http://dx.doi.org/10.1142/s0218396x94000245.

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A boundary element method (BEM) approach is used to solve the acoustic problem of a point source within an enclosure with a large opening to an infinite (without a baffle) or semi-infinite (with a baffle) acoustic space. Emphasis is placed on 2D models with the source located along the center line of three types of geometries: a wedge, a parabola, and a rectangular enclosure.
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Shabouei, M., and K. B. Nakshatrala. "Mechanics-Based Solution Verification for Porous Media Models." Communications in Computational Physics 20, no. 5 (2016): 1127–62. http://dx.doi.org/10.4208/cicp.oa-2016-0007.

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AbstractThis paper presents a new approach to verify the accuracy of computational simulations. We develop mathematical theorems which can serve as robusta posteriorierror estimation techniques to identify numerical pollution, check the performance of adaptive meshes, and verify numerical solutions. We demonstrate performance of this methodology on problems from flow thorough porous media. However, one can extend it to other models. We construct mathematical properties such that the solutions to Darcy and Darcy-Brinkman equations satisfy them. The mathematical properties include the total mini
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Wang, Changsheng, Yang Wang, Caixia Yang, Xiangkui Zhang, and Ping Hu. "8-node and 12-node plane elements based on assumed stress quasi-conforming method immune to distorted mesh." Engineering Computations 34, no. 8 (2017): 2731–51. http://dx.doi.org/10.1108/ec-11-2016-0404.

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Purpose Severe accuracy loss may occur when finite element comes to the distorted mesh model, and the calculation may fail when element mesh degenerates into concave quadrangle or the element boundary is curved. This is a valuable research topic, and many efforts have been made to develop new finite element models. This paper aims to propose two quasi-conforming membrane elements based on the assumed stress quasi-conforming method and fundamental analytical solutions to overcome the difficulties. Design/methodology/approach First, the fundamental analytical solutions which satisfied both the e
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Lin, Ray-Qing, Weijia Kuang, and Arthur M. Reed. "Numerical Modeling of Nonlinear Interactions Between Ships and Surface Gravity Waves, Part 1: Ship Waves in Calm Water." Journal of Ship Research 49, no. 01 (2005): 1–11. http://dx.doi.org/10.5957/jsr.2005.49.1.1.

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This paper presents a pseudo-spectral model for nonlinear ship-surface wave interactions. The algorithm used in the model is a combination of spectral and boundary element methods: the boundary element method is used to translate physical quantities between the nonuniform ship surface and the regular grid of the spectral representation; the spectral method is used throughout the remainder of the fluid domain. All possible wave-wave interactions are included in the model (up to N-wave interactions for the truncation order N of the spectral expansions). This paper focuses on the mathematical the
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Dissertations / Theses on the topic "Boundary element methods – Mathematical models"

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Zietsman, Christiaan Abraham. "A hierarchical linear elastic boundary element solver for lenticular ore bodies." Thesis, Stellenbosch : University of Stellenbosch, 2007. http://hdl.handle.net/10019.1/1686.

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Thesis (MSc (Mathematical Sciences. Applied Mathematics))--University of Stellenbosch, 2007.<br>South Africa is involved in huge mining operations deep in the earth's crust. Stresses induced by these mining operations may cause seismic events or rockbursts to occur, which could damage infrastructure and put miners' lives at risk. The effect of different mining layouts are modelled and used by engineers to make design decisions. The frequency at which models are updated and integrated with the decision making process is not optimal. These large mining layouts can not be modelled adequately
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Cooke, Tristrom Peter. "Some problems in anisotropic elasticity /." Title page, contents and summary only, 1998. http://web4.library.adelaide.edu.au/theses/09PH/09phc773.pdf.

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Esterhuizen, Jacob J. B. "The evaluation of embankment stresses by coupled boundary element - finite element method." Thesis, Virginia Tech, 1993. http://hdl.handle.net/10919/42954.

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<p>Numerical methods and specifically the finite element method have improved significantly since their introduction in the 60's. These advances were mainly in: 1) introducing higher-order elements, 2) developing effective solution schemes, 3) developing sophisticated means of modeling the constitutive behavior of geotechnical materials, and 4) introducing iteration techniques to model material non-linearity. This thesis, on the other hand, deals with the topic of modeling the boundary conditions of the finite element problem. Typically, the boundary conditions will be approximated by specifyi
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Muthedath, Premkumar. "Numerical study of nonlinear free-surface flows." Thesis, This resource online, 1992. http://scholar.lib.vt.edu/theses/available/etd-07212009-040300/.

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Kotik, Nikolai. "Solution to boundary-contact problems of elasticity in mathematical models of the printing-plate contact system for flexographic printing." Doctoral thesis, Karlstad : Faculty of Technology and Science, Mathematics, Karlstad University, 2007. http://www.diva-portal.org/kau/abstract.xsql?dbid=773.

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陸穎剛 and Wing-kong Luk. "Concept space approach for cross-lingual information retrieval." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2000. http://hub.hku.hk/bib/B30147724.

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Saeed, Usman. "Adaptive numerical techniques for the solution of electromagnetic integral equations." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/41173.

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Various error estimation and adaptive refinement techniques for the solution of electromagnetic integral equations were developed. Residual based error estimators and h-refinement implementations were done for the Method of Moments (MoM) solution of electromagnetic integral equations for a number of different problems. Due to high computational cost associated with the MoM, a cheaper solution technique known as the Locally-Corrected Nyström (LCN) method was explored. Several explicit and implicit techniques for error estimation in the LCN solution of electromagnetic integral equations were pro
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Marth, Wieland. "Hydrodynamic Diffuse Interface Models for Cell Morphology and Motility." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-204651.

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In this thesis, we study mathematical models that describe the morphology of a generalized biological cell in equilibrium or under the influence of external forces. Within these models, the cell is considered as a thermodynamic system, where streaming effects in the cell bulk and the surrounding are coupled with a Helfrich-type model for the cell membrane. The governing evolution equations for the cell given in a continuum formulation are derived using an energy variation approach. Such two-phase flow problems that combine streaming effects with a free boundary problem that accounts for bendin
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Moosbrugger, John C. "Numerical computation of metal/mold boundary heat flux in sand castings using a finite element enthalpy model." Thesis, Georgia Institute of Technology, 1985. http://hdl.handle.net/1853/16365.

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Ashour, Osama Naim. "Receptivity to free stream acoustic disturbances due to a roughness element on a flat plate." Thesis, This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-09052009-040628/.

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Books on the topic "Boundary element methods – Mathematical models"

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Boundary element methods in transport phenomena. Computational Mechanics Publications, 1994.

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Subrata, Mukherjee, ed. Boundary element methods in manufacturing. Oxford University Press, 1997.

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Portela, A. Dual boundary element analysis of crack growth. Computational Mechanics Publications, 1993.

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S, Hall W., Oliveto G, and EUROMECH Colloquium 414 on Boundary Element Methods for Soil-Structure Interaction (2000 : Catania, Italy), eds. Boundary element methods for soil-structure interaction. Kluwer Academic Publishers, 2003.

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1947-, Rajakumar C., ed. Boundary element method: Application in sound and vibration. A. A. Balkema Publishers, 2004.

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Boundary element analysis in computational fracture mechanics. Kluwer Academic Publishers, 1988.

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Ali, Ashraf. The boundary element method: Applications in sound and vibration. A.A. Balkema Publishers, 2004.

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Dell'Erba, Diego N. Thermoelastic fracture mechanics using boundary elements. WIT Press, 2002.

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Leitão, V. M. A. Boundary elements in nonlinear fracture mechanics. Computational Mechanics Publications, 1994.

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The boundary element method for groundwater flow. Springer-Verlag, 1991.

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Book chapters on the topic "Boundary element methods – Mathematical models"

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Mukanova, Balgaisha, and Igor Modin. "Electrical Survey Technique and Mathematical Models." In The Boundary Element Method in Geophysical Survey. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72908-4_3.

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Hromadka, Theodore V., and Chintu Lai. "Basic Principles and Mathematical Models of Engineering Mechanics Problems." In The Complex Variable Boundary Element Method in Engineering Analysis. Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4660-2_2.

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Rank, E. "Adaptive Boundary Element Methods (Invited contribution)." In Mathematical and Computational Aspects. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-662-21908-9_17.

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Wendland, W. L. "Mathematical Properties and Asymptotic Error Estimates for Elliptic Boundary Element Methods." In Advanced Boundary Element Methods. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-83003-7_52.

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Gaul, Lothar, Martin Kögl, and Marcus Wagner. "Mathematical Preliminaries." In Boundary Element Methods for Engineers and Scientists. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-662-05136-8_2.

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Schatz, Albert H., Vidar Thomée, and Wolfgang L. Wendland. "Boundary Integral Equations." In Mathematical Theory of Finite and Boundary Element Methods. Birkhäuser Basel, 1990. http://dx.doi.org/10.1007/978-3-0348-7630-8_3.

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Hackbusch, Wolfgang. "Implementational Details of the Boundary Element Method." In Problems and Methods in Mathematical Physics. Vieweg+Teubner Verlag, 1994. http://dx.doi.org/10.1007/978-3-322-85161-1_6.

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Schippers, H. "Multigrid Methods in Boundary Element Calculations (Invited contribution)." In Mathematical and Computational Aspects. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-662-21908-9_31.

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Schatz, Albert H., Vidar Thomée, and Wolfgang L. Wendland. "Collocation Methods." In Mathematical Theory of Finite and Boundary Element Methods. Birkhäuser Basel, 1990. http://dx.doi.org/10.1007/978-3-0348-7630-8_5.

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Annigeri, Balkrishna S. "Development of Yield Strip Models Using the Surface Integral and Finite Element Hybrid Method." In Boundary Element Methods in Engineering. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-84238-2_43.

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Conference papers on the topic "Boundary element methods – Mathematical models"

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Merigaud, Alexis, Jean-Christophe Gilloteaux, and John V. Ringwood. "A Nonlinear Extension for Linear Boundary Element Methods in Wave Energy Device Modelling." In ASME 2012 31st International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/omae2012-83581.

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To date, mathematical models for wave energy devices typically follow Cummins equation, with hydrodynamic parameters determined using boundary element methods. The resulting models are, for the vast majority of cases, linear, which has advantages for ease of computation and a basis for control design to maximise energy capture. While these linear models have attractive properties, the assumptions under which linearity is valid are restrictive. In particular, the assumption of small movements about an equilibrium point, so that higher order terms are not significant, needs some scrutiny. While
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Neda, Monika, Pengtao Sun, Ilias Kotsireas, Roderick Melnik, and Brian West. "A mixed finite element method with time relaxation for recirculating flows: the slip with friction boundary condition." In ADVANCES IN MATHEMATICAL AND COMPUTATIONAL METHODS: ADDRESSING MODERN CHALLENGES OF SCIENCE, TECHNOLOGY, AND SOCIETY. AIP, 2011. http://dx.doi.org/10.1063/1.3663446.

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Harari, Isaac, and Gabriel Blejer. "Finite Element Methods for the Interaction of Acoustic Fluids With Elastic Solids." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0394.

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Abstract Computation is essential to the solution of many problems of structural acoustics, particularly when wavelengths are of the same order as characteristic length scales. The development of finite element methods for large-scale computation of solutions to these problems should be preceded by a thorough analytical understanding of their performance in simplified settings in order to validate application to general configurations. Coupling such an analysis with the design of numerical methods that is based on understanding the underlying mathematical framework leads to the development of
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Bhattacharya, Anindya. "Stress Analysis of Pipe Support Attachments: A Comparison of Analytical Methods and Finite Element Analysis for Circular and Non-Circular Attachments." In ASME 2013 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/pvp2013-97622.

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Despite the availability of special purpose FE codes with post processing facilities as per rules of ASME SEC VIII Division 2, use of simple analytical methods like ring loading around a circumference or more complex methods like Welding Research council bulletins 107 and 297, will continue to be used in the industry for a significant period of time for stress analysis of pipe support attachments. The reasons are few: not all engineering companies have such custom made FE codes, lack of trained personnel to work with general purpose FE codes, ease of implementation of the available methods and
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Ebna Hai, Bhuiyan Shameem Mahmood, and Markus Bause. "Adaptive Multigrid Methods for Extended Fluid-Structure Interaction (eXFSI) Problem: Part I — Mathematical Modelling." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-53265.

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This contribution is the first part of three papers on Adaptive Multigrid Methods for eXtended Fluid-Structure Interaction (eXFSI) Problem, where we introduce a monolithic variational formulation and solution techniques. In a monolithic nonlinear fluid-structure interaction (FSI), the fluid and structure models are formulated in different coordinate systems. This makes the FSI setup of a common variational description difficult and challenging. This article presents the state-of-the-art of recent developments in the finite element approximation of FSI problem based on monolithic variational fo
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Wiktorski, Ekaterina, and Dan Sui. "Investigation of Stick-Slip Severity in a Coupled Axial-Torsional Drillstring Dynamics Using a Two DOF Finite Element Model." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-19320.

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Abstract Drilling industry focuses nowadays on process optimization and cost reduction. Unwanted events should be predicted and avoided to increase drilling efficiency, improve safety, and save costs. Development and application of mathematical models enable us to understand the dynamics of the drilling process, learn parameter interaction and regulate system behavior. It is also a way to reduce the risk of occurrence of such events or mitigate negative outcomes. Challenges in two-dimensional modeling of drillstring vibrations include: (1) correct and precise interpretation of coupled two-dime
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Senjanović, Ivo, Nikola Vladimir, Dae-Seung Cho, and Tae-Muk Choi. "Vibration Analysis of Thick Plates: Analytical and Numerical Approaches." In ASME 2014 33rd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/omae2014-23273.

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In this paper an examination of methods for vibration analysis of moderately thick rectangular plates has been presented. First, the state-of-the art in thick plate vibration theories and analysis methods is described and it is followed with basic equations of the original Mindlin theory, which represents a starting point for the development of all other mathematical models. Then, the problem of analytical solving of equilibrium equations is considered based on the modified Mindlin theory of thick plate vibrations, which has been published in the literature recently. Further, energy methods th
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Schünemann, Martin, Hannes Heidfeld, Sebastian Koch, Christian Daniel, and Elmar Woschke. "Parameter Identification of mathematical-empirical Tire Models using Measurement Data of a Wheel Force Transducer." In FISITA World Congress 2021. FISITA, 2021. http://dx.doi.org/10.46720/f2020-vdc-064.

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"In research and development, the use of model-based methods has been established widely. In spite of the required costs and time for modelling and parameterization, the models become applicable in many steps of the design process from concept studies until parameter optimization. Particularly, during the early phase of the development of products or functions, it is necessary to keep time and cost efforts as low as possible without significantly reducing the quality of the simulation results. For the development of vehicle dynamic controls, the quality of the used models depends highly on the
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Kim, Hyunchul, and I. Y. Shen. "Mode Evolution of Asymmetric Rotors Assembled to Flexible Bearings and Housing." In ASME Turbo Expo 2009: Power for Land, Sea, and Air. ASMEDC, 2009. http://dx.doi.org/10.1115/gt2009-59024.

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This paper is to study how vibration modes of a stationary asymmetric rotor evolve when it is assembled to a flexible housing via multiple bearing supports. Prior to the assembly, vibration modes of the rotor are classified as “balanced modes” and “unbalanced modes.” Balanced modes are those modes whose natural frequencies and mode shapes remain unchanged after the rotor is assembled to the housing via bearings. Otherwise, the vibration modes are classified as “unbalanced modes.” In this paper, we first develop two mathematical criteria to identify balanced modes. For the first criteria, the r
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Gustad, Halvor Snersrud, Per Thomas Moe, and Elena Celledoni. "A PDE Model for Estimating the Life Time of a Riser." In ASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/omae2019-96185.

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Abstract Subsea intervention operations may expose wellheads to very high structural loads. Traditionally, structural fatigue was not regarded as a challenge for wellheads, and design codes did not include verification with respect to structural loads. However, development in mathematical modeling and numerical techniques as well as monitoring systems have revealed that semi-submersible rigs with marine riser systems and BOP (Blowout Preventer) can cause quite significant loads on permanently installed equipment. Being able to describe a risers movement under the action of external forces is i
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