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Ernst Rank
Researcher at Technische Universität München
Publications - 450
Citations - 11522
Ernst Rank is an academic researcher from Technische Universität München. The author has contributed to research in topics: Finite element method & Discretization. The author has an hindex of 55, co-authored 442 publications receiving 9995 citations. Previous affiliations of Ernst Rank include Hamburg University of Technology & Technical University of Dortmund.
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Finite cell method
TL;DR: In this article, a simple modification to the standard finite element method is presented, which is an extension of a partial differential equation beyond the physical domain of computation up to the boundaries of an embedding domain, which can easier be meshed.
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An Isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
Dominik Schillinger,Dominik Schillinger,Luca Dedè,Michael A. Scott,John A. Evans,Michael J. Borden,Ernst Rank,Thomas J. R. Hughes +7 more
TL;DR: It is shown that hierarchical refinement considerably increases the flexibility of this approach by adaptively resolving local features of NURBS, which combines full analysis suitability of the basis with straightforward implementation in tree data structures and simple generalization to higher dimensions.
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The finite cell method for three-dimensional problems of solid mechanics
TL;DR: In this article, a generalization of the finite cell method to three-dimensional problems of linear elasticity is presented, which combines ideas from embedding or fictitious domain methods with the p-based finite element method.
The Finite Cell Method
TL;DR: A simple yet effective modification to the standard finite element method, an extension of a partial differential equation beyond the physical domain of computation up to the boundaries of an embedding domain, which can easier be meshed.
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Additive manufacturing in construction: A review on processes, applications, and digital planning methods
TL;DR: The application of additive manufacturing (AM) in construction has been increasingly studied in recent years as mentioned in this paper, and large robotic arm-and gantry-systems have been created to print building parts using aggregate-based materials, metals, or polymers.