Results 51 to 60 of about 198 (142)

Solution of 2D non-homogenous wave equation by using polywave functions

Computer Assisted Methods in Engineering and Science, 2017
The paper presents a specific technique of solving the non-homogenous wave equation with the use of Trefftz functions for the wave equation. The solution was presented as a sum of a general integral and a particular integral.
Małgorzata Sokała
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Folded-plate structures with openings - analysis and optimization

Computer Assisted Methods in Engineering and Science, 2023
This paper is a continuation and development of the dissertation [1]. Complex folded-plate structures with holes are analyzed using the Trefftz-type finite elements, which appears very effective. The shape functions of these elements (Trefftz functions)
Bogdan Szybiński, Andrzej P. Zieliński, Marek Karaś   +2 more
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Sparsity comparison of polytopal finite element methods

Proceedings in Applied Mathematics and Mechanics, Volume 24, Issue 3, October 2024.
Abstract In this work we compare crucial parameters for efficiency of different finite element methods for solving partial differential equations on polytopal meshes. We consider the virtual element method (VEM) and different discontinuous Galerkin (DG) methods, namely, the Hybrid DG and Trefftz DG methods.
Christoph Lehrenfeld, Paul Stocker, Maximilian Zienecker   +2 more
wiley   +1 more source

Hybrid‐Trefftz finite element method for heat conduction in nonlinear functionally graded materials

Engineering Computations, 2011
PurposeThe purpose of this paper is to develop a hybrid‐Trefftz (HT) finite element model (FEM) for simulating heat conduction in nonlinear functionally graded materials (FGMs) which can effectively handle continuously varying properties within an element.Design/methodology/approachIn the proposed model, a T‐complete set of homogeneous solutions is ...
Fu, Zhuo-Jia, Qin, Qing Hua, Chen, Wen
openaire   +3 more sources

Projective Solutions Methods Automatically Satisfying the Stokes, Oseen and Brinkman Equations

Mathematics
The new projective solutions methods (PSMs) for solving the Stokes, Oseen, and Brinkman flow problems are presented in this paper. They automatically satisfy the governing equations and are therefore Trefftz-type methods.
Chein-Shan Liu, Tai-Wen Hsu, Chia-Cheng Tsai   +2 more
doaj   +1 more source

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, Henryk Sanecki, Marek Karaś   +2 more
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A Novel Spatial–Temporal Radial Trefftz Collocation Method for 3D Transient Wave Propagation Analysis with Specified Sound Source Excitation

Mathematics, 2022
In this paper, a novel semi-analytical collocation solver, the spatial–temporal radial Trefftz collocation method (STRTCM) is proposed to solve 3D transient wave equations with specified sound source excitations.
Lin Chen, Wenzhi Xu, Zhuojia Fu
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Trefftz spectral method for initial-boundary problems

Computer Assisted Methods in Engineering and Science, 2023
We describe a new Quasi Trefftz-type Spectral Method (QTSM) for solving boundary value and initial value problems. QTSM combines the properties of the Trefftz method with the spectral approach.
Sergei Lifits, Sergei Reutskiy, Brunello Tirozzi   +2 more
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A numerical solution to an inverse unsteady-state heat transfer problem involving the Trefftz functions [PDF]

EPJ Web of Conferences, 2017
This paper shows the results concerning flow boiling heat transfer in an asymmetrically heated vertical minichannel. The heated element for FC-72 Fluorinert flowing in that minichannel was a thin foil. The foil surface temperature was monitored continuously at 18 points by K-type thermocouples from the outer foil surface. Fluid temperature and pressure
Maciejewska Beata, Piasecka Magdalena
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Structural inverse problems solved by the T -element approach

Computer Assisted Methods in Engineering and Science, 2022
Any direct boundary-value problem is defined in a certain area Ω by a system of differential equations and respective set of boundary conditions. In structural inverse problems the above conditions can be partly unknown.
Adam Wróblewski, Andrzej P. Zieliński
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