Results 111 to 120 of about 198 (145)
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Use of Trefftz functions in non-linear BEM/FEM
Computers & Structures, 2004Simulation of many practical problems requires to use non-linear formulations with large displacements, large strains and large rotations. It is well known that the use of Trefftz (T-) functions (i. e. the functions satisfying the governing equations inside the domain) as weighting, or interpolation functions leads to more efficient formulations than ...
Vladimı́r Kompiš +3 more
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On trial functions applied in the generalized Trefftz method
Advances in Engineering Software, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solving nonlinear direct and inverse problems of stationary heat transfer by using Trefftz functions
International Journal of Heat and Mass Transfer, 2012The paper presents a new approximate method of solving nonlinear direct and inverse heat conduction problems. A nonlinear differential operator is resolved into a linear and nonlinear part. The nonlinearity is treated as an inhomogeneity for the linear operator. Next, the method of successive approximations is used.
Artur Maciąg +2 more
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Journal of Applied Mathematics and Mechanics, 1980
Abstract A possible general approach for constructing convex functionals in the variational problems of the theory of elasticity, utilizing the Lagrange's multipliers, is indicated. It is shown that such functionals can be constructed in exactly the same manner as the generalized Trefftz functionals which were constructed in /1/ for the basic ...
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Abstract A possible general approach for constructing convex functionals in the variational problems of the theory of elasticity, utilizing the Lagrange's multipliers, is indicated. It is shown that such functionals can be constructed in exactly the same manner as the generalized Trefftz functionals which were constructed in /1/ for the basic ...
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Alternative T‐complete systems of shape functions applied in analytical Trefftz finite elements
Numerical Methods for Partial Differential Equations, 1995AbstractThe authors compare the behavior of hybrid Trefftz p‐elements with two different types of shape functions identically fulfilling governing differential equations. Numerical examples include several boundary problems for Laplace, Poisson, and plane elasticity equations.
Szybiński, B., Zieliński, A. P.
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A BIEM using the Trefftz test functions for solving the inverse Cauchy and source recovery problems
Engineering Analysis With Boundary Elements, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chein-Shan Liu
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Sensitivity Analysis of Potential Problem by Regular- and Singular-function Trefftz Method
1995Trefftz method is the boundary-type solution procedure which uses the function satisfying the governing equation as the approximation function of the solution of the problem. The regular T-complete function and the singular fundamental solution are employed as the approximation function.
Eisuke Kita, Norio Kamiya, Youichi Ikeda
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Trefftz Functions Applied to Direct and Inverse Non-Fourier Heat Conduction Problems
Journal of Heat Transfer, 2014The paper presents a new approximate method of solving non-Fourier heat conduction problems. The approach described here is suitable for solving both direct and inverse problems. The way of generating Trefftz functions for non-Fourier heat conduction equation has been shown.
Krzysztof Grysa +2 more
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Communications in Applied Numerical Methods, 1989
AbstractBoundary approximation solutions using a singular Green function basis have been widely applied to the solution of a variety of linear problems. To avoid the difficulties associated with integration over singularities it is convenient to use sets of non‐singular, complete Trefftz functions, and this procedure has been applied recently with ...
Cheung, YK, Jin, WG, Zienkiewicz, OC
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AbstractBoundary approximation solutions using a singular Green function basis have been widely applied to the solution of a variety of linear problems. To avoid the difficulties associated with integration over singularities it is convenient to use sets of non‐singular, complete Trefftz functions, and this procedure has been applied recently with ...
Cheung, YK, Jin, WG, Zienkiewicz, OC
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Finite element methods with local Trefftz trial functions
2012In der Entwicklung numerischer Verfahren zur Approximation von Randwertaufgaben werden flexible Vernetzungen der zugrunde liegenden Gebiete immer wichtiger. Die vorliegende Arbeit beschäftigt sich mit neuartigen Finiten Element Methoden, die zu konformen Approximationen auf polygonalen und polyhedralen Gittern führen.
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