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Relevant bibliographies by topics / Trefftz method

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Academic literature on the topic 'Trefftz method'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Trefftz method"

1

Jin, W. G., and Y. K. Cheung. "Trefftz direct method." Advances in Engineering Software 24, no. 1-3 (1995): 65–69. http://dx.doi.org/10.1016/0965-9978(95)00059-3.

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Ruge, P. "The complete Trefftz method." Acta Mechanica 78, no. 3-4 (1989): 235–42. http://dx.doi.org/10.1007/bf01179219.

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Kamiya, N., and E. Kita. "Trefftz method 70 years." Advances in Engineering Software 24, no. 1-3 (1995): 1. http://dx.doi.org/10.1016/0965-9978(95)00054-2.

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Kita, Eisuke, and Norio Kamiya. "Trefftz method: an overview." Advances in Engineering Software 24, no. 1-3 (1995): 3–12. http://dx.doi.org/10.1016/0965-9978(95)00067-4.

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BRZOZOWSKA-RUP, Katarzyna, Sylwia HOŻEJOWSKA, and Leszek HOŻEJOWSKI. "Application of the Trefftz method for option pricing." Scientific Papers of Silesian University of Technology. Organization and Management Series 2020, no. 146 (2020): 37–49. http://dx.doi.org/10.29119/1641-3466.2020.146.3.

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Purpose: Option pricing is hardly a new topic, however, in many cases they lack an analytical 11 solution. The article proposes a new approach to option pricing based on the semi-analytical 12 Trefftz method. 13 Design/methodology/approach: An appropriate transformation makes it possible to reduce the 14 Black-Scholes equation to the heat equation. This admits the Trefftz method (which has shown 15 its effectiveness in heat conduction problems) to be employed. The advantage of such 16 an approach lies in its computational simplicity and in the fact that it delivers a solution 17 satisfying the

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KITA, Eisuke. "Some Applications of Trefftz Method." Proceedings of The Computational Mechanics Conference 2002.15 (2002): 805–6. http://dx.doi.org/10.1299/jsmecmd.2002.15.805.

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Zieliński, A. P., and I. Herrera. "Trefftz method: Fitting boundary conditions." International Journal for Numerical Methods in Engineering 24, no. 5 (1987): 871–91. http://dx.doi.org/10.1002/nme.1620240504.

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Herrera, Ismael. "Trefftz method: A general theory." Numerical Methods for Partial Differential Equations 16, no. 6 (2000): 561–80. http://dx.doi.org/10.1002/1098-2426(200011)16:6<561::aid-num4>3.0.co;2-v.

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Ku, Cheng-Yu, Chih-Yu Liu, Jing-En Xiao, Wei-Po Huang, and Yan Su. "A spacetime collocation Trefftz method for solving the inverse heat conduction problem." Advances in Mechanical Engineering 11, no. 7 (2019): 168781401986127. http://dx.doi.org/10.1177/1687814019861271.

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In this article, a novel spacetime collocation Trefftz method for solving the inverse heat conduction problem is presented. This pioneering work is based on the spacetime collocation Trefftz method; the method operates by collocating the boundary points in the spacetime coordinate system. In the spacetime domain, the initial and boundary conditions are both regarded as boundary conditions on the spacetime domain boundary. We may therefore rewrite an initial value problem (such as a heat conduction problem) as a boundary value problem. Hence, the spacetime collocation Trefftz method is adopted

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SOBUE, M., Y. IKEDA, E. KITA, and N. KAMIYA. "Sensitivity Analysis Using Direct Trefftz Method." Proceedings of The Computational Mechanics Conference 2000.13 (2000): 431–32. http://dx.doi.org/10.1299/jsmecmd.2000.13.431.

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Dissertations / Theses on the topic "Trefftz method"

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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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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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Kretzschmar, Fritz [Verfasser], Thomas [Akademischer Betreuer] Weiland, and Herbert [Akademischer Betreuer] Egger. "The Discontinuous Galerkin Trefftz Method / Fritz Kretzschmar. Betreuer: Thomas Weiland ; Herbert Egger." Darmstadt : Universitäts- und Landesbibliothek Darmstadt, 2015. http://d-nb.info/1112044590/34.

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Souza, Charlton Okama de. "Formulação híbrida-Trefftz com enriquecimento seletivo: aplicação a problemas bidimensionais da elasticidade." Universidade de São Paulo, 2008. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-30062009-110011/.

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Este trabalho insere-se no âmbito das formulações não convencionais em elementos finitos. Particularmente, introduzem-se alguns aspectos do método dos elementos finitos generalizados (MEFG) e do clássico refino-p na consagrada formulação híbrida-Trefftz de tensão para a elasticidade bidimensional. A formulação apresentada aproxima diretamente dois campos independentes: o de tensões no domínio dos elementos e o de deslocamentos nas fronteiras dos elementos. Baseado na estrutura de enriquecimento centrada em nuvens, proposta pelo MEFG, podem ser selecionadas oportunamente regiões, formadas por u

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Argôlo, Higor Sérgio Dantas de. "Método da partição e formulação híbrido-Trefftz na análise de sólidos bidimensionais contendo múltiplas fissuras." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-29092016-093936/.

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O presente trabalho trata do desenvolvimento de uma ferramenta computacional para a análise de sólidos bidimensionais contendo múltiplas fissuras utilizando uma nova estratégia mediante a combinação do método da partição (spliting method) e formulação híbrido-Trefftz de tensão. A primeira consiste em um método de decomposição para a análise de sólidos contendo múltiplas fissuras pela partição do problema original (PG) em três subproblemas: subproblema global (PG(0)), onde o sólido é analisado sem a presença de fissuras, subproblemas locais (PL(k)), onde cada fissura é analisada individualmente

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Morel, Guillaume. "Asymptotic-preserving and well-balanced schemes for transport models using Trefftz discontinuous Galerkin method." Thesis, Sorbonne université, 2018. http://www.theses.fr/2018SORUS556.

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Cette thèse traite de l’étude et de l’analyse d’un schéma de type Trefftz Galerkin discontinu (TDG) pour un problème modèle de transport avec relaxation linéaire. Nous montrons que la méthode TDG fournie naturellement des discrétisations bien équilibrées et asymptotic-preserving puisque des solutions exactes, éventuellement non polynomiales, sont utilisées localement dans les fonctions de base. En particulier, la formulation de la méthode du TDG est donnée dans le cas général des systèmes de Friedrichs. En pratique, une attention particulière est consacrée à l’approximation PN de l’équation de

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北, 英輔, Eisuke KITA, 洋一池田, Yoichi IKEDA, 紀生神谷 та Norio KAMIYA. "エレメントフリーTrefftz法による非線形Poisson方程式の感度解析". 日本機械学会, 2004. http://hdl.handle.net/2237/9235.

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Argôlo, Higor Sérgio Dantas de. "Emprego de formulações não-convencionais de elementos finitos na análise linear bidimensional de sólidos com múltiplas fissuras." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-16112010-084351/.

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O trabalho trata da utilização de formulações não-convencionais de elementos finitos na obtenção de fatores de intensidade de tensão associados a múltiplas fissuras distribuídas num domínio bidimensional. A formulação do problema de múltiplas fissuras baseia-se numa abordagem de sobreposição proposta pelo Método da Partição (\"Splitting Method\"). Segundo essa abordagem a solução do problema pode ser encontrada a partir da sobreposição de três subproblemas combinados de tal forma que o fluxo de tensão resultante nas faces das fissuras seja nulo. O uso do Método dos Elementos Finitos (MEF) em s

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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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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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Books on the topic "Trefftz method"

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Qin, Qing-Hua. The Trefftz finite and boundary element method. WIT Press, 2000.

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1939-, Li Zi-Cai, ed. Trefftz and collocation methods. WIT Press, 2008.

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1939-, Li Zi-Cai, ed. Trefftz and collocation methods. WIT Press, 2008.

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1939-, Li Zi-Cai, ed. Trefftz and collocation methods. WIT Press, 2008.

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Alves, Carlos, Andreas Karageorghis, Vitor Leitão, and Svilen Valtchev, eds. Advances in Trefftz Methods and Their Applications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-52804-1.

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Qin, Qing-Hua. Matlab and C programming for Treffitz finite elements methods. CRC Press, 2008.

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Qin, Qing-Hua. Matlab and C programming for Treffitz finite element methods. CRC Press, 2008.

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Wang, Hui, and Qing-Hua Qin. MATLAB and C Programming for Trefftz Finite Element Methods. Taylor & Francis Group, 2008.

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Wang, Hui, and Qing-Hua Qin. MATLAB and C Programming for Trefftz Finite Element Methods. Taylor & Francis Group, 2008.

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Cheng, H. Trefftz And Collocation Methods. WIT Press, 2008.

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Book chapters on the topic "Trefftz method"

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Qin, Qing-Hua. "Trefftz Method for Piezoelectricity." In Advanced Mechanics of Piezoelectricity. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-29767-0_4.

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Su, Yan, Lingjun Yang, Chuan Lin, et al. "Study on Seepage Mechanism and Stability of Unsaturated Slope Based on Trefftz Method." In Lecture Notes in Civil Engineering. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-2532-2_47.

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AbstractThis paper proposes a space–time Trefftz method (STM) to study the seepage mechanism and stability of unsaturated slopes. The groundwater flow under transient conditions is important in engineering practice for solving practical problems such as assessing the stability of unsaturated soil slopes. Based on the transient groundwater equation, we derived the Trefftz basis functions by splitting the variables. The solutions are approximated using Trefftz basis functions in the space–time domain. The Stabl software is subsequently employed to analyze the stability of the slope under the rai

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Grysa, Krzysztof, and Artur Maciąg. "Trefftz Method in Solving Inverse Heat Conduction Problems." In Encyclopedia of Thermal Stresses. Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-007-2739-7_417.

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Lähivaara, Timo, William F. Hall, Matti Malinen, Dale Ota, Vijaya Shankar, and Peter Monk. "UWVF: A Trefftz Numerical Method for Maxwell’s Equations." In More Adventures in Contemporary Electromagnetic Theory. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-83131-7_16.

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Marin, Liviu. "MFS-Fading Regularization Method for Inverse BVPs in Anisotropic Heat Conduction." In Advances in Trefftz Methods and Their Applications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-52804-1_7.

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Gáspár, Csaba. "Application of Quadtrees in the Method of Fundamental Solutions Using Multi-Level Tools." In Advances in Trefftz Methods and Their Applications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-52804-1_3.

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Fu, Zhuo-Jia, Ai-Lun Li, and Han Zhang. "Acoustic Bandgap Calculation of Liquid Phononic Crystals via the Meshless Generalized Finite Difference Method." In Advances in Trefftz Methods and Their Applications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-52804-1_10.

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Barbeiro, Sílvia, and Pedro Serranho. "The Method of Fundamental Solutions for the Direct Elastography Problem in the Human Retina." In Advances in Trefftz Methods and Their Applications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-52804-1_5.

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Liu, Qingguo, and Božidar Šarler. "Method of Fundamental Solutions Without Fictitious Boundary for Anisotropic Elasticity Problems Based on Mechanical Equilibrium Desingularization." In Advances in Trefftz Methods and Their Applications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-52804-1_4.

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Akhmouch, Latifa, Ahmed Naji, Yong Duan, and Zhuojia Fu. "Solving Magneto-Hydrodynamic (MHD) Channel Flows at Large Hartmann Numbers by Using the Method of Fundamental Solutions." In Advances in Trefftz Methods and Their Applications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-52804-1_2.

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Conference papers on the topic "Trefftz method"

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Rozehnalová, Petra. "Numerical integration in the Trefftz finite element method." In Programs and Algorithms of Numerical Mathematics 18. Institute of Mathematics, Czech Academy of Sciences, 2017. http://dx.doi.org/10.21136/panm.2016.12.

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Muzik, Juraj. "BOUNDARY KNOT METHOD SOLUTION OF GROUNDWATER FLOW IN UNCONFINED AQUIFER." In 22nd SGEM International Multidisciplinary Scientific GeoConference 2022. STEF92 Technology, 2022. http://dx.doi.org/10.5593/sgem2022/1.1/s02.012.

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The groundwater flow problems are often solved using numerical models. The numerical models based of known fundamental solution, known as Trefftz methods, represents one of the efficient approaches used to solve potential flow phenomena described by the Laplace differential equation. The Trefftz-like methods, such as the boundary element method (BEM), represent a very efficient approach to solving groundwater flow problems. However, the implementation of BEM is cumbersome because of the fundamental solution singularity, and also there is a very limited number of software suites using BEM. The

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Dwibedi, Subhasankar. "A New Trefftz Based Finite Element for Static Analysis of Laminated Composite Structures." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-11116.

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Abstract Composite materials have been widely used in industries for several years owing to their capability to perform better than homogeneous isotropic materials. Numerical tools like finite element method are efficiently used for analysis of structures made of composite materials. However, for complex shapes or geometries of structures, it becomes uneconomical (computational resource wise) to use Rayleigh-Ritz based finite element analysis. An unique Trefftz based finite element has been developed in this article to efficiently fill the gap in the above mentioned scenario. Hybrid-Tefftz fin

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Liu, Huan, and Keyong Wang. "Hybrid Trefftz Finite Element Method for the Transversely Isotropic Piezoelectric Material." In 2019 2nd World Conference on Mechanical Engineering and Intelligent Manufacturing (WCMEIM). IEEE, 2019. http://dx.doi.org/10.1109/wcmeim48965.2019.00075.

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Englert, Hannes, Fei Qu, and Gerhard Müller. "A 2.5 DIMENSIONAL INDIRECT TREFFTZ METHOD TO MODEL LINEAR ELASTIC SOILS." In XI International Conference on Structural Dynamics. EASD, 2020. http://dx.doi.org/10.47964/1120.9242.20229.

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Chen, C. T., K. H. Chen, J. F. Lee, and J. T. Chen. "Adaptive error estimation of the Trefftz method for solving the Cauchy problem." In BEM/MRM 29. WIT Press, 2007. http://dx.doi.org/10.2495/be070051.

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Ghannadi-Asl, A., and A. Noorzad. "Free vibration analysis of thin circular plates by the indirect Trefftz method." In BEM/MRM 2009. WIT Press, 2009. http://dx.doi.org/10.2495/be090281.

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FU, ZHUOJIA, MIN YANG, QIANG XI, and WENZHI XU. "LOCALIZED COLLOCATION TREFFTZ METHOD IN CONJUNCTION WITH THE GENERALIZED RECIPROCITY METHOD FOR TRANSIENT HEAT CONDUCTION ANALYSIS IN HETEROGENEOUS MATERIALS." In BEM/MRM44. WIT Press, 2021. http://dx.doi.org/10.2495/be440061.

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Muzik, Juraj. "THE LOCALIZED METHOD OF FUNDAMENTAL SOLUTIONS FOR PLANAR GROUNDWATER FLOW PROBLEMS." In 23rd SGEM International Multidisciplinary Scientific GeoConference 2023. STEF92 Technology, 2023. http://dx.doi.org/10.5593/sgem2023/1.1/s02.34.

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The method of fundamental solutions is a meshless method that belongs to the Trefftz class of numerical methods. The method needs only the boundary to be defined using the set of boundary collocation nodes; it is mathematically effortless to program. One of the imperfections in the context of MFS is the fictitious boundary without any rigorous definition. The other fact that MFS suffers from is the nature of the characteristic matrix that is non-symmetric and fully populated. This issue is overcome by adopting the localization strategy, which adds internal nodes into the model but results in a

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Dwibedi, Subhasankar. "Analysis of Symmetric Angle-Ply Laminated Composite Skew Plates Using Hybrid Trefftz Finite Element." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-11098.

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Abstract Analysis of symmetric angle-ply skew laminated composite plates has been presented in the study using a newly developed hybrid Trefftz finite element (hTFE). Mindlin’s plate theory has been used to develop the present hTFE. The forms of displacement are assumed such that governing partial differential equations are satisfied a priori inside the element domain. Particular solutions of the governing equations have been ignored and Trefftz functions are derived using the homogenous solutions only. Inter-element continuity has been established by employing another displacement field along

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Reports on the topic "Trefftz method"

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Franken, Swetlana, Lotte Prädikow, and Nina Mauritz. Künstliche Intelligenz in der Personalbeschaffung - Chancen, Herausforderungen und Handlungsempfehlungen. Kompetenzzentrum Arbeitswelt.Plus, 2022. http://dx.doi.org/10.55594/pojc9826.

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Künstliche Intelligenz (KI) erhält Einzug in immer mehr Unternehmensbereiche und es ist davon auszugehen, dass die Nutzung intelligenter Algorithmen und KI-Methoden auch die Arbeit im HR-Bereich stark verändern wird. Dabei ergeben sich aus den bereits existierenden digitalen Systemen im Personalwesen viele Anknüpfungspunkte für den Einsatz intelligenter, algorithmischer Systeme, insbesondere im Prozess der Personalbeschaffung. Dennoch sind solche KI-Anwendungen in der Unternehmenspraxis noch nicht sehr weit verbreitet. Das vorliegende Paper möchte Unternehmen dabei unterstützen, folgende Frage

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