Results 21 to 30 of about 250 (167)
On Jirousek method and its generalizations
Computer Assisted Methods in Engineering and Science, 2023 Professor Jirousek has been a very important driving force in the modern development of Trefftz method, contributing to its application in many different fields such as elasticity, shells and plates theory, Poisson equation and transient heat analysis ...
Ismael Herrera
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Shock and Vibration, Volume 2020, Issue 1, 2020., 2020 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
wiley +1 more source
General aspects of Trefftz method and relations to error estimation of finite element approximations
Computer Assisted Methods in Engineering and Science, 2023 In this paper a guaranteed upper bound of the global discretization error in linear elastic finite element approximations is presented, based on a generalized Trefftz functional. Therefore, the general concept of complementary energy functionals and the
Stephan Ohnimus +2 more
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Trefftz functions and application to 3D elasticity
Computer Assisted Methods in Engineering and Science, 2022 When solving complex boundary value problems, the primary advantage of the Trefftz method is that Trefftz functions a priori satisfy the governing differential equations.
Cheuk-Yu Lee, Qing-Hua Qin, Hui Wang
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First- and second-order sensitivity analysis schemes by collocation-type Trefftz method
Computer Assisted Methods in Engineering and Science, 2023 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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Numerical Solution of Axisymmetric Inverse Heat Conduction Problem by the Trefftz Method
Energies, 2020 In this paper, the issue of flow boiling heat transfer in an annular minigap was discussed. The main aim of the paper was determining the boiling heat transfer coefficient at the HFE-649 fluid−heater contact during flow along an annular minigap ...
Sylwia Hożejowska, Magdalena Piasecka
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Computer Assisted Methods in Engineering and Science, 2023 This paper describes the application of Trefftz method to the steady-state heat conduction problem on the functionally gradient materials. Since the governing equation is expressed as the non-linear Poisson equation, it is difficult to apply the ...
Eisuke Kita, Youichi Ikeda, Norio Kamiya
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, 2020 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
H-adaptive Element-Free Trefftz Method
Computer Assisted Methods in Engineering and Science, 2023 The Element-Free Trefftz method can solve the problem only by taking the collocation points on the boundary when the domain under consideration is governed by the linear and homogeneous differentia equation.
Eisuke Kita +2 more
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“The joy that engineers and mathematicians have come together.”1
, 2020 ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 100, Issue 2, February 2020.
Reinhard Siegmund‐Schultze
wiley +1 more source