Parametric finite element contour mapping

A complete bi-quadratic parametric function is used to map nodal resultants, and geometry, over the finite element parametric space. These parametric functions are then used to determine contour lines representing the element resultants. The source code for the C-base algorithm is provided and is ap...

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Bibliographic Details
Published inComputers & structures Vol. 35; no. 3; pp. 249 - 257
Main Author Berry, K.J.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 1990
Elsevier Science
Subjects
Exact sciences and technology
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis. Scientific computation
Sciences and techniques of general use
Finite element method
Two dimensional space
Boundary value problem
Discretization
Edge boundary
Three dimensional space
Algorithm
Numerical algorithmics
Partial differential equation
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ISSN0045-7949
1879-2243
DOI10.1016/0045-7949(90)90344-2

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Summary:A complete bi-quadratic parametric function is used to map nodal resultants, and geometry, over the finite element parametric space. These parametric functions are then used to determine contour lines representing the element resultants. The source code for the C-base algorithm is provided and is applicable to 2-D and 3-D linear and quadratic elements. The algorithm can also be applied to any 3-D surface limited to nine total degrees of freedom in any one spatial dimension.
ISSN:0045-7949
1879-2243
DOI:10.1016/0045-7949(90)90344-2