An algorithm for generating solid elements in objects with holes
Tony C. Woo,Timothy Thomasma +1 more
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TLDR
An algorithm for dividing an object with holes into solid elements for finite element preprocessing is presented and it is shown that it effectively reduces the number of holes in an object by one while yielding three tetrahedra.About:
This article is published in Computers & Structures.The article was published on 1984-01-01 and is currently open access. It has received 59 citations till now. The article focuses on the topics: Tetrahedron & Operator (computer programming).read more
Citations
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Automatic three‐dimensional mesh generation by the finite octree technique
Mark A. Yerry,Mark S. Shephard +1 more
TL;DR: An octree-based fully automatic three-dimensional mesh generator is presented, capable of meshing non-manifold models of arbitrary geometric complexity through the explicit tracking and enforcement of geometric compatibility and geometric similarity at each step of the meshing process.
Geometric and Solid Modeling
TL;DR: This work argues that it is no longer thought realistic to envision a comprehensive solid-modeling system that satis es the needs of all potential users and should concentrate on con- structing a software environment in which many tools for geometric and solid computation are available and can be combined with ease as appropriate for the application under consideration.
Journal ArticleDOI
Finite element mesh generation methods: a review and classification
TL;DR: In this article, a scheme for classifying mesh generation methods is proposed, whereby seven major mesh generation approaches are identified and the basis for classification is the temporal order in which nodes and elements are created.
Journal ArticleDOI
Robust, geometrically based, automatic two‐dimensional mesh generation
TL;DR: The algorithmic changes made do ensure the robustness of the approach, but introduce additional algorithmic difficulties, the solutions of which are also presented.
Journal ArticleDOI
Approaches to the Automatic Generation and Control of Finite Element Meshes
TL;DR: It is demonstrated that because of the modeling demands placed on a automatic mesh generator, all the approaches taken to date produce unstructured meshes.
References
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Book
Proofs and Refutations
Margarita R. Levin,Imre Lakatos +1 more
TL;DR: In this article, the authors present a problem and a conjecture, and a proof of the problem and the conjecture, as well as a proof against the conjecture by lemma-incorp oration.
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Solid Modeling: A Historical Summary and Contemporary Assessment
TL;DR: A new generation of industrial geometry systems is emerging based on the technology of the 1970's, which will require more research in the generations of the eighties and nineties.
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Graphs, surfaces, and homology
TL;DR: In this paper, simplicial homology is used to study the structure of two-dimensional surfaces and the embedding of graphs in surfaces, using the minimum of algebraic machinery and including a version of Lefschetz duality.
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The synthesis of solids bounded by many faces
TL;DR: A technique is presented which allows a class of solid objects to be synthesized and stored using a computer and has the advantage that operations are concise, readily composed, and are given in terms of easily imagined solids.
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Automatic three‐dimensional mesh generation by the finite octree technique
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