108 p.
Geometry, Algebraic.
osti: 901967
The verdict geometric quality library.
Partial Differential Equations Geometry-Data Processing.
Finite Geometries.
V Codes
Ernst, C.D. (Elemental Technologies, Inc., American Fork, UT)
Geometry-Data Processing.
United States. Department of Energy.
grantno: AC04-94AL85000
Pebay, Philippe Pierre
doi: 10.2172/901967
2006-03-01
Geometry
Evaluation
rep-no: SAND2007-1751
ark: ark:/67531/metadc880826
99 General And Miscellaneous//Mathematics, Computing, And Information Science
Stimpson, C.J. (Elemental Technologies, Inc., American Fork, UT)
Thompson, David C. (Sandia National Laboratories, Livermore, CA)
Verdict is a collection of subroutines for evaluating the geometric qualities of triangles, quadrilaterals, tetrahedra, and hexahedra using a variety of metrics. A metric is a real number assigned to one of these shapes depending on its particular vertex coordinates. These metrics are used to evaluate the input to finite element, finite volume, boundary element, and other types of solvers that approximate the solution to partial differential equations defined over regions of space. The geometric qualities of these regions is usually strongly tied to the accuracy these solvers are able to obtain in their approximations. The subroutines are written in C++ and have a simple C interface. Each metric may be evaluated individually or in combination. When multiple metrics are evaluated at once, they share common calculations to lower the cost of the evaluation.
Knupp, Patrick Michael
Sandia National Laboratories