The verdict geometric quality library.
Knupp, Patrick Michael
Ernst, C.D. (Elemental Technologies, Inc., American Fork, UT)
Thompson, David C. (Sandia National Laboratories, Livermore, CA)
Stimpson, C.J. (Elemental Technologies, Inc., American Fork, UT)
Pebay, Philippe Pierre
United States. Department of Energy.
Sandia National Laboratories
2006-03-01
English
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.
V Codes
99 General And Miscellaneous//Mathematics, Computing, And Information Science
Geometry
Geometry, Algebraic.
Finite Geometries.
Geometry-Data Processing.
Evaluation
Partial Differential Equations Geometry-Data Processing.
Report
108 p.
Text
rep-no: SAND2007-1751
grantno: AC04-94AL85000
doi: 10.2172/901967
osti: 901967
https://digital.library.unt.edu/ark:/67531/metadc880826/
ark: ark:/67531/metadc880826