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Dissertationen zum Thema „Boundary element methods“

Autor: Grafiati

Veröffentlicht am 4. Juni 2021

Zuletzt aktualisiert am 25. Juli 2025

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1

Of, Günther, Gregory J. Rodin, Olaf Steinbach, and Matthias Taus. "Coupling Methods for Interior Penalty Discontinuous Galerkin Finite Element Methods and Boundary Element Methods." Universitätsbibliothek Chemnitz, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-96885.

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This paper presents three new coupling methods for interior penalty discontinuous Galerkin finite element methods and boundary element methods. The new methods allow one to use discontinuous basis functions on the interface between the subdomains represented by the finite element and boundary element methods. This feature is particularly important when discontinuous Galerkin finite element methods are used. Error and stability analysis is presented for some of the methods. Numerical examples suggest that all three methods exhibit very similar convergence properties, consistent with available t

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2

Ostrowski, Jörg. "Boundary element methods for inductive hardening." [S.l. : s.n.], 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=973933941.

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3

Onyango, Thomas Tonny Mboya. "Boundary element methods for solving inverse boundary conditions identification problems." Thesis, University of Leeds, 2008. http://etheses.whiterose.ac.uk/11283/.

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This thesis explores various features of the boundary element method (BEM) used in solving heat transfer boundary conditions identification problems. In particular, we present boundary integral equation (BIE) formulations and procedures of the numerical computation for the approximation of the boundary temperatures, heat fluxes and space, time or temperature dependent heat transfer coefficients. There are many practical heat transfer situations where such problems occur, for example in high temperature regions or hostile environments, such as in combustion chambers, steel cooling processes, et

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4

Shah, Nawazish A. "Boundary element methods for road vehicle aerodynamics." Thesis, Loughborough University, 1985. https://dspace.lboro.ac.uk/2134/26942.

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The technique of the boundary element method consists of subdividing the boundary of the field of a function into a series of discrete elements, over which the function can vary. This technique offers important advantages over domain type solutions such as finite elements and finite differences. One of the most important features of the method is the much smaller system of equations and the considerable reduction in data required to run a program. Furthermore, the method is well-suited to problems with an infinite domain. Boundary element methods can be formulated using two different approache

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5

Leon, Ernesto Pineda. "Dual boundary element methods for creep fracture." Thesis, Queen Mary, University of London, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.435177.

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6

OLIVEIRA, MARIA FERNANDA FIGUEIREDO DE. "CONVENTIONAL, HYBRID AND SIMPLIFIED BOUNDARY ELEMENT METHODS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2004. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=5562@1.

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COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>Apresentam-se as formulações, consolidando a nomenclatura e os principais conceitos dos métodos de elementos de contorno: convencional (MCCEC), híbrido de tensões (MHTEC), híbrido de deslocamentos (MHDEC) e híbrido simplificado de tensões (MHSTEC). proposto o método híbrido simplificado de deslocamentos (MHSDEC), em contrapartida ao MHSTEC, baseando-se nas mesmas hipóteses de aproximação de tensões e deslocamentos do MHDEC e supondo que a solução fundamental em termos de tensões seja válida no contorno. Como decorrência do

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7

Zarco, Mark Albert. "Solution fo soil-structure interaction problems by coupled boundary element-finite element method /." This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-06062008-164808/.

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8

Vu, Thu Hang. "Enhancing the scaled boundary finite element method." University of Western Australia. School of Civil and Resource Engineering, 2006. http://theses.library.uwa.edu.au/adt-WU2006.0068.

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[Truncated abstract] The scaled boundary finite element method is a novel computational method developed by Wolf and Song which reduces partial differential equations to a set of ordinary linear differential equations. The method, which is semi-analytical, is suitable for solving linear elliptic, parabolic and hyperbolic partial differential equations. The method has proved to be very efficient in solving various types of problems, including problems of potential flow and diffusion. The method out performs the finite element method when solving unbounded domain problems and problems involving

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9

Yan, Shu. "Efficient numerical methods for capacitance extraction based on boundary element method." Texas A&M University, 2005. http://hdl.handle.net/1969.1/3230.

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Fast and accurate solvers for capacitance extraction are needed by the VLSI industry in order to achieve good design quality in feasible time. With the development of technology, this demand is increasing dramatically. Three-dimensional capacitance extraction algorithms are desired due to their high accuracy. However, the present 3D algorithms are slow and thus their application is limited. In this dissertation, we present several novel techniques to significantly speed up capacitance extraction algorithms based on boundary element methods (BEM) and to compute the capacitance extraction in the

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10

Hamina, M. (Martti). "Some boundary element methods for heat conduction problems." Doctoral thesis, University of Oulu, 2000. http://urn.fi/urn:isbn:951425614X.

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Abstract This thesis summarizes certain boundary element methods applied to some initial and boundary value problems. Our model problem is the two-dimensional homogeneous heat conduction problem with vanishing initial data. We use the heat potential representation of the solution. The given boundary conditions, as well as the choice of the representation formula, yield various boundary integral equations. For the sake of simplicity, we use the direct boundary integral approach, where the unknown boundary density appearing in the boundary integral equation is a quantity of physical mean

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11

Zarco, Mark Albert. "Solution of soil-structure interaction problems by coupled boundary element-finite element method." Diss., Virginia Tech, 1993. http://hdl.handle.net/10919/38298.

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12

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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13

Nesemann, Leo [Verfasser]. "Finite element and boundary element methods for contact with adhesion / Leo Nesemann." Hannover : Technische Informationsbibliothek und Universitätsbibliothek Hannover (TIB), 2011. http://d-nb.info/1013365542/34.

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14

Chidgzey, Steven R. "Advances in the development of the scaled boundary method for applications in fracture mechanics." University of Western Australia. School of Civil and Resource Engineering, 2007. http://theses.library.uwa.edu.au/adt-WU2007.0176.

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[Truncated abstract] The scaled boundary method is a powerful, though undervalued, computational analysis method. The complex mathematics of the original derivation of the method has rendered it unattractive to researchers. However, the method has proven more efficient than conventional computational analysis methods for problems involving unbounded domains and for problems involving stress singularities. The advantages of the scaled boundary method in dealing with stress singularities make it uniquely suited to the analysis of fracture mechanics problems. This study will extend the capabiliti

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15

Peng, Xuan. "Isogeometric boundary element methods for linear elastic fracture mechanics." Thesis, Cardiff University, 2016. http://orca.cf.ac.uk/92543/.

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We develop in this work a procedure for obtaining the fatigue life of complex structures directly from Computer-Aided Design (CAD) data, without any mesh generation or regeneration as the cracks evolve. The method relies on a standard isogeometric boundary element method (IGABEM) where the same basis functions are used to both describe the geometry of the component and approximate the displacement and traction fields. The contributions of this work include: (1) Dual boundary integral equations have been applied to model 2D/3D fracture problems in the framework of IGA and that such simulations

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16

Vartiainen, Markku Juhani. "Singular boundary element methods for the hyperbolic wave equation." Thesis, University of Cambridge, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.621821.

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17

雷哲翔 and Zhexiang Lei. "Time domain boundary element method & its applications." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1993. http://hub.hku.hk/bib/B31233703.

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18

Lei, Zhexiang. "Time domain boundary element method & its applications /." [Hong Kong : University of Hong Kong], 1993. http://sunzi.lib.hku.hk/hkuto/record.jsp?B13570365.

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19

Pai, Ravindra. "Calculation of wave resistance and elevation of arbitrarily shaped bodies using the boundary integral element method." Thesis, This resource online, 1991. http://scholar.lib.vt.edu/theses/available/etd-10222009-125057/.

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20

Azis, Mohammad Ivan. "On the boundary integral equation method for the solution of some problems for inhomogeneous media." Title page, contents and summary only, 2001. http://web4.library.adelaide.edu.au/theses/09PH/09pha995.pdf.

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Errata pasted onto front end-paper. Bibliography: leaves 101-104. This thesis employs integral equation methods, or boundary element methods (BEMs), for the solution of three kinds of engineering problems associated with inhomogeneous materials or media: a class of elliptical boundary value problems (BVPs), the boundary value problem of static linear elasticity, and the calculation of the solution of the initial-boundary value problem of non-linear heat conduction for anisotropic media.

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21

Arjunon, Sivakkumar. "P-version refinement studies in the boundary element method a dissertation presented to the faculty of the Graduate School, Tennessee Technological University /." Click to access online, 2009. http://proquest.umi.com/pqdweb?index=19&sid=2&srchmode=1&vinst=PROD&fmt=6&startpage=-1&clientid=28564&vname=PQD&RQT=309&did=1786737301&scaling=FULL&ts=1250860988&vtype=PQD&rqt=309&TS=1250861000&clientId=28564.

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22

Silveira, Richard John. "A dual boundary and finite element method for fluid flow." Thesis, University of Cambridge, 2014. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.708272.

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23

Tang, W. "A generalized approach for transforming domain integrals into boundary integrals in boundary element methods." Thesis, University of Southampton, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.378981.

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24

Chu, Chin-keung. "Parallel computation for time domain boundary element method /." Hong Kong : University of Hong Kong, 1999. http://sunzi.lib.hku.hk/hkuto/record.jsp?B20565574.

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25

Weggler, Lucy Verfasser], and Sergej [Akademischer Betreuer] [Rjasanow. "High order boundary element methods / Lucy Weggler. Betreuer: Sergej Rjasanow." Saarbrücken : Saarländische Universitäts- und Landesbibliothek, 2012. http://d-nb.info/1051586801/34.

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26

Bolton, Matthew Robert. "Acoustic scattering using boundary element methods with application to colloids." Thesis, University of East Anglia, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.514206.

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27

Berger, Hans-Uwe. "Inverse Problems in Soft Tissue Elastography using Boundary Element Methods." Thesis, University of Canterbury. Mechanical Engineering, 2009. http://hdl.handle.net/10092/4413.

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Elastography is an emerging functional imaging technique of current clinical research interest due to a direct relation between mechanical material parameters, especially the tissue stiffness, and tissue pathologies such as cancer. Digital Image Elasto-Tomography (DIET) is a new method that aims to develop elastographic techniques and create a simplified, improved breast cancer screening process. The elastic material information of breast tissue is reconstructed in the DIET concept from mechanically excited steady-state harmonic motion observed on the surface of the breast. While this inversio

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28

NOVELINO, LARISSA SIMOES. "APPLICATION OF FAST MULTIPOLE TECHNIQUES IN THE BOUNDARY ELEMENT METHODS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2015. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=37003@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>PROGRAMA DE EXCELENCIA ACADEMICA<br>Este trabalho visa à implementação de um programa de elementos de contorno para problemas com milhões de graus de liberdade. Isto é obtido com a implementação do Método Fast Multipole (FMM), que pode reduzir o número de operações, para a solução de um problema com N graus de liberdade, de O(N(2)) para O(NlogN) ou O(N). O uso de memória também é reduzido, por não haver o armazenamento de matrizes de grandes dimensões como no caso de outros mét

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29

Reinarz, Anne. "Sparse space-time boundary element methods for the heat equation." Thesis, University of Reading, 2015. http://centaur.reading.ac.uk/49315/.

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The goal of this work is the efficient solution of the heat equation with Dirichlet or Neumann boundary conditions using the Boundary Elements Method (BEM). Efficiently solving the heat equation is useful, as it is a simple model problem for other types of parabolic problems. In complicated spatial domains as often found in engineering, BEM can be beneficial since only the boundary of the domain has to be discretised. This makes BEM easier than domain methods such as finite elements and finite differences, conventionally combined with time-stepping schemes to solve this problem. The contributi

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30

Peake, Michael John. "Enriched and isogeometric boundary element methods for acoustic wave scattering." Thesis, Durham University, 2014. http://etheses.dur.ac.uk/10655/.

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This thesis concerns numerical acoustic wave scattering analysis. Such problems have been solved with computational procedures for decades, with the boundary element method being established as a popular choice of approach. However, such problems become more computationally expensive as the wavelength of an incident wave decreases; this is because capturing the oscillatory nature of the incident wave and its scattered field requires increasing numbers of nodal variables. Authors from mathematical and engineering backgrounds have attempted to overcome this problem using a wide variety of proced

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31

朱展強 and Chin-keung Chu. "Parallel computation for time domain boundary element method." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1999. http://hub.hku.hk/bib/B31220678.

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32

Fronk, Thomas Harris. "Fully-coupled fluid-structure analysis of a baffled rectangular orthotropic plate using the boundary element and finite element methods." Diss., This resource online, 1991. http://scholar.lib.vt.edu/theses/available/etd-07282008-134729/.

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33

Zhang, Hui. "Image-based boundary element computation of three-dimensional potential problems." Online access for everyone, 2008. http://www.dissertations.wsu.edu/Thesis/Summer2008/h_zhang_072308.pdf.

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34

KEUM, BANGYONG. "ANALYSIS OF 3-D CONTACT MECHANICS PROBLEMS BY THE FINITE ELEMENT AND BOUNDARY ELEMENT METHODS." University of Cincinnati / OhioLINK, 2003. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1054815631.

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35

Bayliss, Martin. "The numerical modelling of elastomers." Thesis, Cranfield University, 2003. http://hdl.handle.net/1826/87.

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This thesis reports onreview and research work carried out on the numerical analysis of elastomers. The two numerical techniques investigated for this purpose are the finite and boundary element methods. The finite element method is studied so that existing theory is used to develop a finite element code both to review the finite element method as applied to the stress analysis of elastomers and to provide a comparison of results and numerical approach with the boundary element method. The research work supported on in this thesis covers the application of the boundary element method to the s

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36

Ben, Hamdin Hanya Abdusalam Mohamed. "Boundary element and transfer operator methods for multi-component wave systems." Thesis, University of Nottingham, 2012. http://eprints.nottingham.ac.uk/12446/.

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In this thesis, exact and semiclassical approaches are derived for predicting wave energy distributions in coupled cavities with variable material properties. These approaches are attractive because they can be extended to more complex built-up systems. For the exact treatment, we describe a multi-component boundary element method. We point out that depending on the boundary conditions and the number of interfaces between sub-components, it may be advantageous to use a normal derivative method to set up the integral kernels. We describe how the arising hypersingular integral kernels can be red

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37

Lindkvist, Gaute. "Indirect boundary element methods for modelling bubbles under three dimensional deformation." Thesis, Deaprtment of Engineering Systems and Management, 2009. http://hdl.handle.net/1826/3098.

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The nonlinear behaviour of gas and vapour bubbles is a complex phenomenon which plays a signi cant role in many natural and man-made processes. For example, bubbles excited by an acoustic eld play important roles in lithotripsy, drug delivery, ultrasonic imaging, surface cleaning and give rise to the phenomenon of sonoluminescence (light emission from a bubble excited by sound). In such contexts, the oscillation of even a single bubble is not yet fully understood, let alone the behaviour of multiple bubbles interacting with each other. An essential part of understanding such problems is un- d

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38

Druma, Calin. "Formulation of steady-state and transient potential problems using boundary elements." Ohio : Ohio University, 1999. http://www.ohiolink.edu/etd/view.cgi?ohiou1175886094.

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39

Golan, Lawrence P. "Thermal analysis of sliding contact systems using the boundary element method." Thesis, This resource online, 1991. http://scholar.lib.vt.edu/theses/available/etd-11242009-020117/.

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40

Sheng, Ni. "Trefftz boundary and polygonal finite element methods for piezoelectric and ferroelectric analyses." Click to view the E-thesis via HKUTO, 2005. http://sunzi.lib.hku.hk/hkuto/record/B31483434.

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41

Sheng, Ni, and 盛妮. "Trefftz boundary and polygonal finite element methods for piezoelectric and ferroelectric analyses." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2005. http://hub.hku.hk/bib/B31483434.

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42

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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43

Moody, R. O. "The numerical solution of moving-boundary problems using moving-finite-element methods." Thesis, University of Reading, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.383463.

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44

Geraci, Giorgio. "Boundary element methods for cohesive thermo-mechanical damage and micro-cracking evolution." Thesis, Imperial College London, 2018. http://hdl.handle.net/10044/1/63826.

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In this thesis, Boundary Element Methods (BEM) are developed for micro-mechanic cohesive non linear problems. Modelling of intergranular and transgranular damage and micro-cracking evolution in polycrystalline materials is presented for different physical engineering problems and loading conditions: mechanical and thermo-mechanical applications are considered in the context of micromechanics. Throughout the thesis the different models are based on a multi-region boundary element approach combined with the dual boundary element formulation. The polycrystalline microstructures are generated with

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45

Ullah, Baseer. "Structural topology optimisation based on the boundary element and level set methods." Thesis, Durham University, 2014. http://etheses.dur.ac.uk/10659/.

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The research work presented in this thesis is related to the development of structural optimisation algorithms based on the boundary element and level set methods for two and three-dimensional linear elastic problems. In the initial implementation, a stress based evolutionary structural optimisation (ESO) approach has been used to add and remove material simultaneously for the solution of two-dimensional optimisation problems. The level set method (LSM) is used to provide an implicit description of the structural geometry, which is also capable of automatically handling topological changes, i.

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46

Shah, Jimit. "Vibro-Acoustic Studies on Damped Panels Using Finite and Boundary Element Methods." The Ohio State University, 2002. http://rave.ohiolink.edu/etdc/view?acc_num=osu1420207337.

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47

Zakikhani, Mansour. "Study of flow and mass transport in multilayered aquifers using boundary integral method." Diss., Georgia Institute of Technology, 1988. http://hdl.handle.net/1853/20163.

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48

金吳根 and Wugen Jin. "Trefftz method and its application in engineering." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1991. http://hub.hku.hk/bib/B31232255.

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49

Jin, Wugen. "Trefftz method and its application in engineering /." [Hong Kong : University of Hong Kong], 1991. http://sunzi.lib.hku.hk/hkuto/record.jsp?B13009540.

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50

Zhao, Kezhong. "A domain decomposition method for solving electrically large electromagnetic problems." Columbus, Ohio : Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1189694496.

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