Relevant bibliographies by topics / Trefftz functions

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

Academic literature on the topic 'Trefftz functions'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Trefftz functions"

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Borkowska, Dorota. "Application of Trefftz method for the solution of two-dimensional Poisson’s problem taking into account material properties." AUTOBUSY – Technika, Eksploatacja, Systemy Transportowe 19, no. 6 (2018): 363–67. http://dx.doi.org/10.24136/atest.2018.094.

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The aim of this paper is theoretical and numerical analysis of one of the nonsingular Trefftz method. Two-dimensional boundary value problem governed by Poisson’s equation is taken as the example. Domain boundary equation is obtained by transformation of classical formulation of the boundary problem with the use of weighted residual method. In this paper the original variation formulation is considered. The solution of the problem is assumed as the superposition of Trefftz functions, which satisfy Laplace’s equation. Taking the same functions as the weighting functions one obtains equations of
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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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Wang, Ke Yong. "A Four-Node Hybrid-Trefftz Plane Elasticity Element with Fundamental Analytical Solutions." Advanced Materials Research 279 (July 2011): 194–99. http://dx.doi.org/10.4028/www.scientific.net/amr.279.194.

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A new four-node hybrid-Trefftz element is developed for plane elasticity problems. From the Airy stress function, the fundamental analytical solutions of the governing equation are derived as Trefftz functions for the intra-element (Trefftz) displacement field. Together with an independent frame displacement field along the element boundary, the element formulation is then constructed following the modified variational functional. Several numerical examples indicate that the proposed element exhibits good performance.
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Rjasanow, Sergej, and Steffen Weißer. "FEM with Trefftz trial functions on polyhedral elements." Journal of Computational and Applied Mathematics 263 (June 2014): 202–17. http://dx.doi.org/10.1016/j.cam.2013.12.023.

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Piasecka, Magdalena, Sylwia Hożejowska, Beata Maciejewska, and Anna Pawińska. "Time-Dependent Heat Transfer Calculations with Trefftz and Picard Methods for Flow Boiling in a Mini-Channel Heat Sink." Energies 14, no. 7 (2021): 1832. http://dx.doi.org/10.3390/en14071832.

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The intensification of heat transfer using two-phase boiling flow in mini-channels is widely used to dissipate the high heat fluxes in miniaturized electronic devices. However, the process itself is not fully recognized and still requires experimental studies and developing computation methods appropriate for them. The main aim of this work was the mathematical modeling of time-dependent heat transfer process in FC-72 flow boiling in a mini-channel heat sink with five parallel mini-channels of 1 mm depth. Channels have an asymmetrically heated wall while its outer temperature was measured by i
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REZAIEE-PAJAND, MOHAMMAD, MAJID YAGHOOBI, and MOHAMMAD KARKON. "HYBRID TREFFTZ FORMULATION FOR THIN PLATE ANALYSIS." International Journal of Computational Methods 09, no. 04 (2012): 1250053. http://dx.doi.org/10.1142/s0219876212500533.

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In this paper, two efficient elements are proposed by utilizing hybrid Trefftz method for the analysis of thin plate bending. The triangular element, THT, and the quadrilateral element, QHT, which have 9 and 12 degrees of freedom, respectively. Two independent displacement fields are defined for internal and boundary of the elements. The internal field is selected in such a way that it satisfies the governing equation of the thin plate. Boundary field is dependent on the nodal degrees of freedom via boundary interpolation functions. For deriving boundary interpolation functions, element's edge
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Frąckowiak, Andrzej, Agnieszka Wróblewska, and Michał Ciałkowski. "Trefftz numerical functions for solving inverse heat conduction problems." International Journal of Thermal Sciences 177 (July 2022): 107566. http://dx.doi.org/10.1016/j.ijthermalsci.2022.107566.

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Kompiš, Vladimı́r, Milan Toma, Milan Žmindák, and Marián Handrik. "Use of Trefftz functions in non-linear BEM/FEM." Computers & Structures 82, no. 27 (2004): 2351–60. http://dx.doi.org/10.1016/j.compstruc.2004.04.006.

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Zieliński, A. P. "On trial functions applied in the generalized Trefftz method." Advances in Engineering Software 24, no. 1-3 (1995): 147–55. http://dx.doi.org/10.1016/0965-9978(95)00066-6.

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Hochard, Ch, and L. Proslier. "A simplified analysis of plate structures using Trefftz-functions." International Journal for Numerical Methods in Engineering 34, no. 1 (1992): 179–95. http://dx.doi.org/10.1002/nme.1620340111.

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Dissertations / Theses on the topic "Trefftz functions"

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Weißer, Steffen Verfasser], and Sergej [Akademischer Betreuer] [Rjasanow. "Finite element methods with local Trefftz trial functions / Steffen Weißer. Betreuer: Sergej Rjasanow." Saarbrücken : Saarländische Universitäts- und Landesbibliothek, 2012. http://d-nb.info/1052551254/34.

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Treffon, Katrin [Verfasser], Christiane [Akademischer Betreuer] Gatz, Christiane [Gutachter] Gatz, et al. "Functional analysis of the Arabidopsis thaliana glutaredoxin ROXY9 / Katrin Treffon ; Gutachter: Christiane Gatz, Ivo Feußner, Andrea Polle, Volker Lipka, Thomas Teichmann, Marcel Wiermer ; Betreuer: Christiane Gatz." Göttingen : Niedersächsische Staats- und Universitätsbibliothek Göttingen, 2019. http://d-nb.info/118752011X/34.

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Wu, Chen-Yin, and 吳宸胤. "Solving the modified Helmhotz equation using Trefftz functions for laplace problem in conjunction with the interation process." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/66916148777328445209.

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碩士<br>國立臺灣海洋大學<br>河海工程學系<br>95<br>The research is conferred by applying to solve Modified Helmholtz Equation with Radial Basis Function and Trefftz Method.Radial Basis Function is a kind of approximation method, and it matches up Particular Solution Equation of Governing Equation, and Trefftz Method is a kind of normalization equation for boundary Element Theory of no peculiar behavior of basis equation. It obtains the relevant quantity of physics from unknown coefficient of the solution. It applies to the normal solution, and tie in Convergence and Comparison to solve Modified Helmholtz equat
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Book chapters on the topic "Trefftz functions"

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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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Weißer, Steffen. "Residual Based Error Estimate for Higher Order Trefftz-Like Trial Functions on Adaptively Refined Polygonal Meshes." In Lecture Notes in Computational Science and Engineering. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-10705-9_23.

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Mocerino, Andrea, Fabio Bozzoli, Luca Cattani, Pamela Vocale, and Sara Rainieri. "Non-intrusive Estimate of Spatially Varying Internal Heat Flux in Coiled Ducts: Method of Fundamental Solutions Applied to the Reciprocity Functional Approach." In Advances in Trefftz Methods and Their Applications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-52804-1_8.

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Kita, Eisuke, Norio Kamiya, and Youichi Ikeda. "Sensitivity Analysis of Potential Problem by Regular- and Singular-function Trefftz Method." In Computational Mechanics ’95. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-79654-8_502.

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Kompiš, V. "Computational models using Trefftz functions." In Computational Fluid and Solid Mechanics 2003. Elsevier, 2003. http://dx.doi.org/10.1016/b978-008044046-0.50098-1.

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KOMPIS, V. "Computational models using Trefftz functions." In Computational Fluid and Solid Mechanics 2003. Elsevier, 2003. http://dx.doi.org/10.1016/b978-008044046-0/50098-1.

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Toma, M., and V. Kompiš. "Use of trefftz functions in modelling of point and line contact." In Computational Fluid and Solid Mechanics 2003. Elsevier, 2003. http://dx.doi.org/10.1016/b978-008044046-0.50170-6.

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"Trefftz Trial Functions for Computational Grains for Planar and 3D Problems." In Computational Grains. Cambridge University Press, 2023. http://dx.doi.org/10.1017/9781108917759.005.

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Handrik, M., V. Kompiš, and P. Novák. "Large strain, large rotation boundary integral multi-domain formulation using the Trefftz polynomial functions." In Computational Fluid and Solid Mechanics. Elsevier, 2001. http://dx.doi.org/10.1016/b978-008043944-0/50618-1.

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Qin, Qing-Hua. "Trefftz boundary element method." In Green's Function and Boundary Elements of Multifield Materials. Elsevier, 2007. http://dx.doi.org/10.1016/b978-008045134-3/50054-9.

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Conference papers on the topic "Trefftz functions"

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Businaro, Felipe, and Flávio Luiz de Silva Bussamra. "HYBRID-TREFFTZ FINITE ELEMENT LINEAR ISOTROPIC ANALYSIS WITH NON-ORTHOGONAL TRIAL FUNCTIONS." In 25th International Congress of Mechanical Engineering. ABCM, 2019. http://dx.doi.org/10.26678/abcm.cobem2019.cob2019-1274.

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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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Kolodziej, Jan Adam, Magdalena Mierzwiczak, and Jakub Krzysztof Grabski. "About some application of special purpose Trefftz function for determination of effective viscosity in filtration equation." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM 2015). Author(s), 2016. http://dx.doi.org/10.1063/1.4951760.

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Chen, J. T., H. C. Shieh, J. J. Tsai, and J. W. Lee. "Equivalence between the Trefftz method and the method of fundamental solutions for Green’s function of concentric spheres using the addition theorem and image concept." In BEM/MRM 2009. WIT Press, 2009. http://dx.doi.org/10.2495/be090031.

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Journal articles
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