Finite element analysis in situ

  title={Finite element analysis in situ},
  author={Michael Freytag and Vadim Shapiro and Igor G. Tsukanov},
We describe a significant extension of the finite element method (FEM) that allows finite element analysis (FEA) to be performed in situ, on a native geometric representation of a solid domain. The proposed method, called Scan&Solve, is a particular implementation of the solution structure method (SSM) that builds on the classical ideas of Kantorovich and Rvachev. It can be applied to any geometric model and used within any geometric modeling system that supports two fundamental queries: point… CONTINUE READING
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Referenced Papers

Publications referenced by this paper.
Showing 1-10 of 45 references

Finite Element Methods with B-Splines

  • K. Höllig
  • in: Frontiers in Applied Mathematics, no. 26…
  • 2003
Highly Influential
10 Excerpts

Approximate Methods of Higher Analysis

  • L. V. Kantorovich, V. I. Krylov
  • Interscience Publishers
  • 1958
Highly Influential
13 Excerpts

Implicit boundary method for finite element analysis using non-conforming mesh or grid

  • A. Kumar, S. Padmanabhan, R. Burla
  • International Journal for Numerical Methods in…
  • 2008
Highly Influential
4 Excerpts

Finite Element Analysis with Error Estimators

  • J. A. Akin
  • Elsevier
  • 2005
Highly Influential
3 Excerpts

The architecture of SAGE—a meshfree system based on RFM

  • I. Tsukanov, V. Shapiro
  • Engineering with Computers 18 (4)
  • 2002
Highly Influential
4 Excerpts

Geometric Applications of Logic Algebra

  • V. L. Rvachev
  • Naukova Dumka,
  • 1967
Highly Influential
7 Excerpts

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