This paper presents an overview of the Trefftz finite element and its application in various
engineering problems. Basic concepts of the Trefftz method are discussed, such as T …

Page 1 Trefftz and Collocation Methods ZC. Li, TT. Lu, WITPRESS HY. Hu & A. HD. Cheng
Page 2 TrefftzTrefftzTrefftzTrefftzTrefftz andandandandand …

In this article we survey the Trefftz method (TM), the collocation method (CM), and the
collocation Trefftz method (CTM). We also review the coupling techniques for the interzonal …

A truly general and systematic theory of finite element methods (FEM) should be formulated
using, as trial and test functions, piecewise‐defined functions that can be fully discontinuous …

In this paper we numerically solve both the direct and the inverse Cauchy problems of
biharmonic equation by using a multiple-scale Trefftz method (TM). The approximate …

The Trefftz method (TM)[E. Trefftz, Ein Gegenstuck zum Ritz'schen Verfahren, in: Proc. 2nd
Ind. Congr. Appl. Mech., Zurich, 1926, pp. 131–137](ie, Boundary approximation method) is …

In recent years, new and more effective procedures for applying collocation have been
published. This article is devoted to present a revision of this subject and complement its …

This paper is intended as a contribution to enhance orthogonal collocation methods. In this,
a novel collocation method—TH-collocation—is applied to the biharmonic equation and the …

This article is offered to honor Professor George F. Pinder. Its technical contents were
motivated by an Eulerian–Lagrangian method that was recently proposed by him and his …

1. Introduction. The main objective of DDM is, when a domain Ω and one of its partitions are
given, to obtain the solution of a boundary value problem defined on it (the'global problem') …