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

Sandia National Laboratories

关键词: V Codes;    99 General And Miscellaneous//Mathematics, Computing, And Information Science;    Geometry;    Geometry, Algebraic.;    Finite Geometries.;   

DOI  :  10.2172/901967
RP-ID  :  SAND2007-1751
RP-ID  :  AC04-94AL85000
RP-ID  :  901967

美国|英语

来源: UNT Digital Library

【 摘 要 】

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.