J Tinsley Oden

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This paper describes extensions of the hp cloud method to problems of fracture mechanics as an example of developing customized cloud functions. The cloud methods are built on partitions of unity that are subordinate to covers of the solution domain. For this reason, clouds can also be constructed on nite element meshes. This aspect of these methods is also(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)
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