By V.M.A. Leitao, C.J.S. Alves, C. Armando Duarte

ISBN-10: 1402060947

ISBN-13: 9781402060946

ISBN-10: 1402060955

ISBN-13: 9781402060953

In contemporary years meshless/meshfree equipment have received a substantial recognition in engineering and utilized arithmetic. the diversity of difficulties which are now being addressed by means of those innovations maintains to extend and the standard of the consequences bought demonstrates the effectiveness of a number of the equipment presently on hand. The ebook offers an important pattern of the state-of-the-art within the box with tools that experience reached a definite point of adulthood whereas additionally addressing many open issues.

The booklet collects prolonged unique contributions provided on the first ECCOMAS convention on Meshless equipment held in 2005 in Lisbon. The checklist of participants finds a mixture of hugely uncommon authors in addition to relatively younger yet very energetic and promising researchers, hence giving the reader an enticing and up-to-date view of alternative mesh aid tools and its variety of purposes. the fabric awarded is acceptable for researchers, engineers, physicists, utilized mathematicians and graduate scholars drawn to this energetic examine area.

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Download PDF by V.M.A. Leitao, C.J.S. Alves, C. Armando Duarte: Advances in Meshfree Techniques

In recent times meshless/meshfree equipment have won a substantial consciousness in engineering and utilized arithmetic. the diversity of difficulties which are now being addressed via those ideas maintains to extend and the standard of the implications bought demonstrates the effectiveness of some of the tools presently to be had.

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A. Duarte and I. Babuška. Mesh-independent directional p-enrichment using the generalized finite element method. International Journal for Numerical Methods in Engineering, 55(12):1477–1492, 2002. 14. C. A. Duarte, I. Babuška, and J. T. Oden. Generalized finite element methods for three dimensional structural mechanics problems. In S. N. Atluri and P. E. O’Donoghue (Eds), Modeling and Simulation Based Engineering, Volume I, Proceedings of the International Conference on Computational Engineering Science, Atlanta, GA, October 5–9, 1998.

A. M. Duarte and J. T. Oden. An hp adaptive method using clouds. Computer Methods in Applied Mechanics and Engineering, 139:237–262, 1996. A Generalized FEM with Global-Local Enrichment Functions 25 19. C. A. M. Duarte and J. T. Oden. Hp clouds – An hp meshless method. Numerical Methods for Partial Differential Equations, 12:673–705, 1996. 20. M. Griebel and M. A. Schweitzer. A particle-partition of unity method for the solution of elliptic, parabolic and hyperbolic PDEs. SIAM Journal Scientific Computing, 22(3): 853–890, 2000.

To overcome the difficulty, a first variant of XFEM was considered in which a whole fixed area (independent of h) around the crack tip is enriched [3, 11]. In the present paper, some improvements of the previous approach are studied in order to obtain better computational performances (in terms of numerical rate of convergence, number of degrees of freedom or well-conditioned system). The outline of the paper is the following. In Section 2, the model problem of a cracked body in linear plane elasticity is considered.

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Advances in Meshfree Techniques by V.M.A. Leitao, C.J.S. Alves, C. Armando Duarte

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