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 …

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 …

This article is devoted to introduce a new approach to iterative substructuring methods that,
without recourse to Lagrange multipliers, yields positive definite preconditioned formulations …

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 …

Abstract Domain decomposition methods (DDM) have received much attention in recent
years. They constitute the most effective means of using parallel computing resources to …

5. Conclusions. In the present article, the indirect approach to domain decomposition
methods has been applied to the BVPJ for the biharmonic equation using two different …

Abstract In the 1st International Workshop, devoted to Trefftz Method, the author presented
an indirect approach to Trefftz Method (Trefftz-Herrera Method), while in the Second one …

I want to thank the editors, for having invited me to write this Introductory Chapter, whose
initial intention was to give a historical background of Mathematical and Computational …

Trefftz originally proposed his method in 1926, but it has been in the last decades, especially
since Jirousek and his collaborators originated hybrid-Trefftz (HT) finite element (FE) model …

I want to thank the editors, for having invited me to write this introductory chapter, whose
initial intention was to give a historical background of mathematical and computational …