The Trefftz Finite and Boundary Element Method

By Qing-Hua Qin, VD Radulescu. 2000

229 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/9a5b73a3082e5b086955d750eb9f67dc3c1e3364

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In Control and Systems Engineering

In Mechanics of Materials

Citations in the corpus

Fundamental-solution-based finite element model for plane orthotropic elastic bodies (2010, methodology): “However, it is necessary to reintroduce the discarded rigidbody modes in the internal fields ue of a particular element and then to calculate their undetermined coefficients by requiring, for example, the least squares adjustment of ue and ~ ue (Qin, 2000; Qin and Wang, 2008).”
Boundary integral based graded element for elastic analysis of 2D functionally graded plates (2012, methodology): “This model inherits the advantages of flexible domain element division in Trefftz-FEM (Qin, 2000) and boundary integrals in BEM (Qin,1993), and due to the use of fundamental solutions, is referred to as HFS-FEM.”
Trefftz and Collocation Methods (2008, methodology): “The Trefftz method using the hybrid techniques is also called the hybrid Trefftz method in engineering literature, see Qin [391].”
Fundamental-solution-based hybrid FEM for plane elasticity with special elements (2011, methodology): “In this case, these missing terms can easily be recovered by setting for the augmented internal field [2,3,5] { ûe } = {ue} + [ 1 0 x2 0 1 −x1 ] {c0} (40)”
A new special element for stress concentration analysis of a plate with elliptical holes (2012, methodology): “However, special care must be taken for the derivation and selection of a truncated T-complete solution set for some problems when using HT-FEM, such as the completeness of solutions and the corresponding rigid body motion terms being discarded for the purpose of matrix inversion [11].”
A hybrid-Trefftz element containing an elliptic hole (2006, methodology): “More detailed description of Trefftz finite element is widely available in recent literature and some introduction to this method could be found in [9,14].”