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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| Published in | Computers & structures Vol. 35; no. 3; pp. 249 - 257 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Elsevier Ltd
1990
Elsevier Science |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0045-7949 1879-2243 |
| DOI | 10.1016/0045-7949(90)90344-2 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Berry, K.J. |
| Author_xml | – sequence: 1 givenname: K.J. surname: Berry fullname: Berry, K.J. organization: GMI Engineering & Management Institute, 1700 West Third Avenue, Flint, MI 48504 U.S.A |
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| Copyright | 1990 1990 INIST-CNRS |
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| EndPage | 257 |
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| Issue | 3 |
| Keywords | Finite element method Two dimensional space Boundary value problem Discretization Edge boundary Three dimensional space Algorithm Numerical algorithmics Partial differential equation |
| Language | English |
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| References | Bender (BIB2) 1984; I Berry (BIB3) 1989; 33 Fabrikant, Lativovic (BIB1) 1985; I Segerlind (BIB4) 1976 Segerlind (10.1016/0045-7949(90)90344-2_BIB4) 1976 Fabrikant (10.1016/0045-7949(90)90344-2_BIB1) 1985; I Berry (10.1016/0045-7949(90)90344-2_BIB3) 1989; 33 Bender (10.1016/0045-7949(90)90344-2_BIB2) 1984; I |
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| StartPage | 249 |
| SubjectTerms | Exact sciences and technology Mathematics Methods of scientific computing (including symbolic computation, algebraic computation) Numerical analysis. Scientific computation Sciences and techniques of general use |
| Title | Parametric finite element contour mapping |
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