Pebay, Philippe P. and David Thompson
Proceedings, 16th International Meshing Roundtable, Springer-Verlag, pp.423-440, October 14-17 2007
16th International Meshing Roundtable
Seattle, Washington, U.S.A.
October 14-17, 2007
Sandia National Laboratories
P.O. Box 969, Livermore CA 94551, U.S.A.
The vast majority of visualization algorithms for finite element (FE)
simulations assume that linear constitutive relationships are used to interpolate values
over an element, because the polynomial order of the FE basis functions used
in practice has traditionally been low ñ linear or quadratic. However, higher order
FE solvers, which become increasingly popular, pose a significant challenge to visualization
systems as the assumptions of the visualization algorithms are violated
by higher order solutions. This paper presents a method for adapting linear visualization
algorithms to higher order data through a careful examination of a linear
algorithmís properties and the assumptions it makes. This method subdivides higher
order finite elements into regions where these assumptions hold (?-compatibility).
Because it is arguably one of the most useful visualization tools, isosurfacing is used
as an example to illustrate our methodology.
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