Results 61 to 70 of about 250 (167)
Heat transmission across fouled tubes analysed by Trefftz approach
Computer Assisted Methods in Engineering and Science, 2023 The paper presents application of the Trefftz method for analysis a case of heat conduction problem across two coupled regions - fouling layer of complex form deposited onto the tube wall at its outer periphery.
Teodor Skiepko
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Effectiveness of the Trefftz method in different engineering optimization procedures
Computer Assisted Methods in Engineering and Science, 2023 In a large class of linear, mathematically modelled engineering problems the Trefftz algorithms give accurate solutions in a relatively short computational time.
Andrzej P. Zieliński +2 more
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On the systematic construction of trial functions for hybrid Trefftz shell elements
Computer Assisted Methods in Engineering and Science, 2023 In this paper the possibility of applying the Trefftz-method to thick and thin shells is discussed. A mixed variational formulation is used in which the assumed strain and stress functions are derived from the three-dimensional solution representation ...
Reinhard Piltner
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T-element analysis of plates on unilateral elastic Winkler-type foundation
Computer Assisted Methods in Engineering and Science, 2023 This paper presents a hybrid-Trefftz finite element algorithm designated as fictitious load approach. Its originality resides in the formulation and practical application of concepts which make it possible to account for the unilateral contact ...
Jaroslav Jirousek +2 more
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Computer Assisted Methods in Engineering and Science, 2023 The work presents the application of heat polynomials for solving an inverse problem. The heat polynomials form the Trefftz Method for non-stationary heat conduction problem. They have been used as base functions in Finite Element Method. Application of
Michał J. Ciałkowski
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A Trefftz Continuous Galerkin method for Helmholtz problems
CoRRThis work introduces a novel Trefftz Continuous Galerkin (TCG) method for 2D Helmholtz problems based on evanescent plane waves (EPWs). We construct a new globally-conforming discrete space, departing from standard discontinuous Trefftz formulations, and investigate its approximation properties, providing wavenumber-explicit best-approximation error ...
Galante, Nicola +2 more
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Trefftz spectral method for elliptic equations of general type
Computer Assisted Methods in Engineering and Science, 2023 A new numerical method for 2D linear elliptic partial differential equations in an arbitrary geometry is presented. The special feature of the method presented is that the trial functions, which are used to approximate a solution, satisfy the PDE only ...
Sergiy Reutskiy, Brunello Tirozzi
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Wave Polynomials in Elasticity Problems
Engineering Transactions, 2014 The paper demonstrates a new technique of obtaining the approximate solution of the two- and three-dimensional elasticity problems. The system of equations of elasticity can be converted to the system of wave equation. In this case, as solving functions (
A. MACIĄG
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Domain optimisation using Trefftz functions – application to free boundaries
Computer Assisted Methods in Engineering and Science, 2023 Trefftz approximations are known to require very few degrees of freedom to give an order of magnitude of the solution. In this paper, we show that it is possible to take advantage of this situation in two ways: (i) we show that it is also possible to ...
Mohamed Bouberbachene +2 more
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