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Code Generation for Generally Mapped Finite Elements

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Publication:4960964
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DOI10.1145/3361745zbMath1486.65251arXiv1808.05513OpenAlexW3122001523WikidataQ113309980 ScholiaQ113309980MaRDI QIDQ4960964

Lawrence Mitchell, Robert C. Kirby

Publication date: 24 April 2020

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.05513


zbMATH Keywords

mapped finite elements


Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)


Related Items (7)

Transformations for Piola-mapped elements ⋮ A Reissner-Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations ⋮ Planar curve registration using Bayesian inversion ⋮ A construction of edge B-spline functions for a \(C^1\) polynomial spline on two triangles and its application to Argyris type splines ⋮ Morley finite element methods for the stationary quasi-geostrophic equation ⋮ Deflation for semismooth equations ⋮ A new mixed finite-element method for \(H^2\) elliptic problems


Uses Software

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  • deal.ii
  • PETSc
  • MUMPS
  • Getfem++
  • Feel++
  • Algorithm 884
  • Firedrake
  • TSFC






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