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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)
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 t.he h-p cloud method is also presented.(More)
A high-order generalized finite element method (GFEM) for non-planar three-dimensional crack surfaces is presented. Discontinuous p-hierarchical enrichment functions are applied to strongly graded tetrahedral meshes automatically created around crack fronts. The GFEM is able to model a crack arbitrarily located within a finite element mesh and thus the(More)
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)
SUMMARY A general GFEM/XFEM formulation is presented to solve two-dimensional problems characterized by C 0 continuity with gradient jumps along discrete lines, such as those found in the thermal and structural analysis of heterogeneous materials or in line load problems in homogeneous media. The new enrichment functions presented in this paper allow(More)
A key problem for crowd-sourcing systems is motivating contributions from participants and ensuring the quality of these contributions. Games have been suggested as a motivational approach to encourage contribution, but attracting participation through game play rather than scientific interest raises concerns about the quality of the data provided, which is(More)
This paper presents a generalized finite element method (GFEM) for crack growth simulations based on a two-scale decomposition of the solution – a smooth coarse-scale component and a singular fine-scale component. The smooth component is approximated by discretizations defined on coarse finite element meshes. The fine-scale component is approximated by the(More)
Analysis of three-dimensional fracture mechanics problems: A non-intrusive approach using a generalized finite element method" (2012). Keywords: Generalized finite element method Fracture mechanics Global–local analysis Multiscale problem Schur complement a b s t r a c t This paper shows that the generalized finite element method with global–local(More)