Results 121 to 130 of about 250 (167)

Generalized Trefftz Method in the Gradient Elasticity Theory

Lobachevskii Journal of Mathematics, 2021
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Volkov-Bogorodskiy, D. B., Moiseev, E. I.   +1 more
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Trefftz Methods and Taylor Series

Archives of Computational Methods in Engineering, 2019
The paper discusses Trefftz discretization techniques with a focus on their coupling with shape functions computed by the method of Taylor series. The paper highlights are, on one hand the control of ill-conditioning and the solving of large scale problems, on the other hand the applications to non-linear Partial Differential Equations. Indeed, despite
Jie Yang, Michel Potier-Ferry, Koffi Akpama, Heng Hu, Yao Koutsawa, Haitao Tian, Djédjé Sylvain Zézé   +6 more
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Trefftz method in solving the inverse problems

Journal of Inverse and Ill-Posed Problems, 2010
Abstract In this article we present different types of Trefftz functions for stationary and non-stationary linear differential equations. The Trefftz methods are then defined and briefly described. One of them, namely the LSM applied to the region divided on finite elements, is discussed.
Krzysztof Grysa
exaly   +2 more sources

The complete Trefftz method

Acta Mechanica, 1989
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The Trefftz method as an integral equation

Advances in Engineering Software, 1995
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Huang, S. C., Shaw, R. P.
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Trefftz Method

1984
In recent years the author has been most active in systematic theoretical research as well as in diversified application of the boundary method usually associated with the name of Trefftz. Accordingly, this fairly short survey is a qualified presentation of the progress attained in this field during some twenty last years.
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Indirect methods of collocation: Trefftz‐Herrera collocation

Numerical Methods for Partial Differential Equations, 1999
Summary: A nonstandard collocation method (TH-collocation) is presented, where collocation is used to construct specialized weighting functions instead of the solution itself, as it is usual, so that in this sense it is an indirect method. TH-collocation is shown to be as accurate as standard collocation, but computationally far more efficient.
Herrera, Ismael, Díaz, Martín
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Collocation Trefftz methods for the stokes equations with singularity

Numerical Methods for Partial Differential Equations, 2012
AbstractThis study explores the boundary methods for the two‐dimensional homogeneous Stokes equations and investigates the particular solutions (PS) satisfying the Stokes equations. Smooth solutions for the Stokes equations are provided by explicit fundamental solutions (FS) and PS in this study, and singular corner solutions are also provided from ...
Li, Zi-Cai, Lee, Ming-Gong, Chiang, John Y.   +2 more
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Numerical Properties of a Multivariate Ritz-Trefftz Method

IBM Journal of Research and Development, 1972
In this paper the numerical properties of the Ritz-Trefftz algorithm are discussed in the context of the numerical approximation to the linear parabolic regulator problem using multivariate splines. The algorithm is first derived in the problem context and the resulting linear algebraic system is discussed.
Bosarge, W. E. jun., Smith, C. L.
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Trefftz Method for Piezoelectricity

2013
In Chapter 3, theoretical solutions for problems of PFC pull-out and push-out are presented. The solutions are, however, restricted to axi-symmetric problems. To remove this restriction, Trefftz numerical methods are presented for solving various engineering problems involved in piezoelectric materials in this chapter.
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