Xp. Zheng et Zh. Yao, SOME APPLICATIONS OF THE TREFFTZ METHOD IN LINEAR ELLIPTIC BOUNDARY-VALUE-PROBLEMS, Advances in engineering software, 24(1-3), 1995, pp. 133-145
A generalized Trefftz method is developed for the boundary-value probl
ems of a linear elliptic partial differential equation system in a mor
e general sense. The approximate solution is constructed by a complete
and regular set of Trefftz functions satisfying the differential equa
tions within the domain. Unknown parameters are determined through min
imizing the generalized complementary energy functional. Applications
of the method to two-dimensional potential problems, plane elasticity
and plate bending problems are discussed in detail. The numerical exam
ples show that the presented method is efficient and accurate.