NDLI: An extension of the finite cell method using boolean operations

Content Provider	Springer Nature Link
Author	Abedian, Alireza Düster, Alexander
Copyright Year	2017
Abstract	In the finite cell method, the fictitious domain approach is combined with high-order finite elements. The geometry of the problem is taken into account by integrating the finite cell formulation over the physical domain to obtain the corresponding stiffness matrix and load vector. In this contribution, an extension of the FCM is presented wherein both the physical and fictitious domain of an element are simultaneously evaluated during the integration. In the proposed extension of the finite cell method, the contribution of the stiffness matrix over the fictitious domain is subtracted from the cell, resulting in the desired stiffness matrix which reflects the contribution of the physical domain only. This method results in an exponential rate of convergence for porous domain problems with a smooth solution and accurate integration. In addition, it reduces the computational cost, especially when applying adaptive integration schemes based on the quadtree/octree. Based on 2D and 3D problems of linear elastostatics, numerical examples serve to demonstrate the efficiency and accuracy of the proposed method.
Starting Page	877
Ending Page	886
Page Count	10
File Format	PDF
ISSN	01787675
Journal	Computational Mechanics
Volume Number	59
Issue Number	5
e-ISSN	14320924
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2017-01-30
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Finite cell method Fictitious domain approach Void shape Quadtree Octree Theoretical and Applied Mechanics Computational Science and Engineering Classical and Continuum Physics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Ocean Engineering Computational Theory and Mathematics Mechanical Engineering Computational Mechanics Computational Mathematics

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