Results 21 to 30 of about 198 (142)
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 A new mixed four‐node quadrilateral element (MiQ4) is established in this paper to investigate functionally graded material (FGM) plates with variable thickness. The proposed element is developed based on the first‐order shear deformation and mixed finite element technique, so the new element does not need any selective or reduced numerical integration.
Pham Van Vinh, Francisco J. Martos
wiley +1 more source
FEM with Trefftz trial functions on polyhedral elements
Journal of Computational and Applied Mathematics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sergej Rjasanow, Steffen Weißer
openaire +2 more sources
Trefftz discontinuous Galerkin basis functions for a class of Friedrichs systems coming from linear transport [PDF]
Advances in Computational Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Buet, Christophe +2 more
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Trefftz Functions for Nonlocal Electrostatics
CoRR, 2020 17 pages, 6 figures.
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Solution representations for Trefftz-type finite elements
Computer Assisted Methods in Engineering and Science, 2023 Solution representations are available for several differential equations. For elasticity problems some of the solution representations are considered in this paper.
Reinhard Piltner
doaj
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
doaj
The derivation of special purpose element functions using complex solution representations
Computer Assisted Methods in Engineering and Science, 2023 For several elasticity problems, solution representations for the displacements and stresses are available. The solution representations are given in terms of "arbitrary" complex valued functions.
Reinhard Piltner
doaj
Computer Assisted Methods in Engineering and Science, 2023 The purpose of the paper is to propose of a way of constructing trial functions for the indirect Trefftz method as applied to harmonic problems possessing circular holes, circular inclusions, corners, slits, and symmetry.
Jan A. Kołodziej, Anita Uściłowska
doaj
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
doaj
A Mixed Stress/Displacement Approach Model of Homogeneous Shells for Elastodynamic Problems
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 This paper presents the development of a model of homogeneous, moderately thick shells for elastodynamic problems. The model is obtained by adapting and modifying SAM‐H model (stress approach model of homogeneous shells) developed by Domínguez Alvarado and Díaz in (2018) for static problems.
Axel Fernando Domínguez Alvarado +2 more
wiley +1 more source