Results 31 to 40 of about 198 (142)
A spacetime collocation Trefftz method for solving the inverse heat conduction problem
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 ...
Cheng-Yu Ku +4 more
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Spectral methods have previously been applied to analyze a multitude of vibration and acoustic problems due to their high computational efficiency. However, their application to interior structural acoustics systems has been limited to the analysis of a single plate coupled to a fluid‐filled cavity. In this work, a general multidomain spectral approach
Zhenguo Zhang +4 more
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First- and second-order sensitivity analysis schemes by collocation-type Trefftz method
This paper presents the boundary-type schemes of the first- and the second-order sensitivity analyses by Trefftz method. In the Trefftz method, physical quantities are approximated by the superposition of the T-complete functions satisfying the ...
Eisuke Kita, Norio Kamiya, Youichi Ikeda
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Bending Solution for Simply Supported Annular Plates Using the Indirect Trefftz Boundary Method [PDF]
This paper presents the bending analysis of annular plates by the indirect Trefftz boundary approach. The formulation for thin and thick plates is based on the Kirchhoff plate theory and the Reissner plate theory.
Amin Ghannadiasl, Asadollah Noorzad
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Coupling techniques of Trefftz methods
The Trefftz method pioneered by Trefftz [71] in 1926 is described as follows: The particular solutions or the fundamental solutions are chosen, a linear combination of those functions is regarded as an approximate solution of partial differential ...
Hung-Tsai Huang +2 more
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Trefftz Method of Solving a 1D Coupled Thermoelasticity Problem for One- and Two-Layered Media
This paper discusses a 1D one-dimensional mathematical model for the thermoelasticity problem in a two-layer plate. Basic equations in dimensionless form contain both temperature and displacement.
Artur Maciąg, Krzysztof Grysa
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Trefftz polynomials reciprocity based boundary element formulations for elastodynamics
In this paper Trefftz polynomials are used for the BEM (Boundary Element Method) based on the reciprocity relations. BEM provides a powerful tool for the calculation of dynamic structural response in the frequency and time domains.
F. Konkol, V. Kompis
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The paper focuses on the numerical solution to two-dimensional temperature field of boiling liquid flowing along a vertical, asymmetrically heated minichannel with a rectangular cross-section.
Hożejowski L. +2 more
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 100, Issue 6, June 2020.
Reinhard Siegmund‐Schultze
wiley +1 more source
Determining 2D temperature field in flow boiling with the use of Trefftz functions [PDF]
The paper proposes the use of Trefftz method to solve the triple coupled heat conduction problem in flow boiling of refrigerant in an asymmetrically heated minichannel. A mathematical model of heat transfer in a rectangular minichannel is suggested.
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