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The analysis of complex three-dimensional structural components has become a common task in recent years at several industries, like, automotive, aerospace, naval, nuclear, etc. However, the analysis of this class of problems using traditional finite element methods still poses several difficulties. It is a common practice in the industry to use automatic… (More)

- C. A. Duarte
- 2005

The Generalized Finite Element Method (GFEM) presented in this paper combines and extends the best features of the finite element method with the help of meshless formulations based on the Partition of Unity Method. Although an input finite element mesh is used by the proposed method, the requirements on the quality of this mesh are significantly relaxed.… (More)

- J. T. Oden, C. A. Duarte, O. C.Zienkiewicz, TWJHUHimoir gTATEMHCl, C. A. M. Duarte
- 2007

A hybrid computational method for solving boundary-value problems is introduced which combines features of the meshless Äj?-cloud methods with features of conventional finite elements. The method admits straightforward nonuniform hp-type approximations, easy implementation of essential boundary conditions, is robust under severe distortions of the mesh, and… (More)

Several computational and mathematical features of the h-p cloud method are demonstrated in this paper. We show how h, p and h-p adaptivity can be implemented in the h-p cloud method without traditional grid concepts typical of finite element methods. The mathematical derivation of an a posteriori error estimate for the h-p cloud method is also presented.… (More)

- C. A. Duarte, O. N. Hamzeh, T. J. Liszka
- 2008

A new methodology to build discrete models of boundary-value problems is presented. The h-pcloud method is applicable to arbitrary domains and employs only a scattered set of nodes to build approximate solutions to BVPs. This new method uses radial basis functions of varying size of supports and with polynomialreproducing properties of arbitrary order. The… (More)

- A. Simonea, C. A. Duarte, E. Van der Giessen

We present a Generalized Finite Element Method for the analysis of polycrystals with explicit treatment of grain boundaries. Grain boundaries and junctions, understood as loci of possible displacement discontinuity, are inserted into finite elements by exploiting the partition of unity property of finite element shape functions. Consequently, the finite… (More)

1.1 INTRODUCTION The h-p cloud technique DO, DO95a] is a generalization of a family of so-called meshless methods (see, e.g., BKOF96, LCJ + , Dua95] for an overview) proposed in recent months that provide both h and p (spectral) type approximations of boundary-value problems while freeing the analyst from traditional diiculties due to mesh connectivities.… (More)

- H Toledo, A Baly, +22 authors C A Duarte
- Vaccine
- 2001

A phase I clinical trial was performed to examine the safety and immunogenicity of a multi-epitope polypeptide comprising the central 15 amino acids of the V3 loop from six HIV-1 isolates. This protein called TAB9 was emulsified in Montanide ISA720 (Seppic, Paris) and administered intramuscularly at doses of 0, 0.2 and 1 mg to 24 healthy, HIV-1 seronegative… (More)

This paper presents a procedure to build C, k arbitrarily large, generalized finite element (FE) shape functions defined on non-structured finite element meshes. The functions have the same support as corresponding global FE Lagrangian shape functions. Meshes with both convex and non-convex clouds (set of elements sharing a vertex node), can be used. The… (More)