Finite cell method

By Jamshid Parvizian, Alexander Düster, Ernst Rank. 2007

566 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/686a3f730a2aaf8dafcc24c6a67e08813b549b26

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In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

On utilizing topology optimization to design support structure to prevent residual stress induced build failure in laser powder bed metal additive manufacturing (2019, methodology): “The FCM, as a type of fictitious domain method, was first proposed by Parvizian et al [55] in 2007.”
Image-based goal-oriented adaptive isogeometric analysis with application to the micro-mechanical modeling of trabecular bone (2015, methodology): “In this method a trivariate tensor-product domain is created in which the complex domain of interest is immersed [10,11].”
Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014, methodology): “Higher-order basis functions are of crucial importance for the applicability of the method because they yield a fast rate of convergence [17].”
Small and large deformation analysis with the p- and B-spline versions of the Finite Cell Method (2012, methodology): “In Ωfict, α must be chosen as small as possible, but large enough to prevent extreme ill-conditioning of the stiffness matrix [28,29].”
An immersogeometric variational framework for fluid–structure interaction: application to bioprosthetic heart valves (2014, unknown): “[108] and illustrated in Figure 1, is a technique for solving partial differential equations posed on complex geometries by extending the computational domain to a more tractable shape, such as a rectangular prism bounding the original domain.”
Additive manufacturing in construction: A review on processes, applications, and digital planning methods (2019, methodology): “6) [144,145], by decomposing the domain with the Mortar method [146,147], and by homogenizing heterogeneous structures [148,149].”