Registration Number
0309U007073,
0106U011443
, R & D reports
Title
Geometricak modeling in the algoritms of calculating matematics
popup.stage_title
Створення бібліотеки нових моделей для різних видів дискретних елементів за їх геометричними властивостями
Head
3. Khomchenko Anatoliy,
Registration Date
13-02-2009
Organization
Kherson national technical university
popup.description2
3.A catalogue of serendipity family finite elements is created with the help jf geometric modeling. The catalogue contains bivariate and trivariate serendipian finite elements (SFE). Bivariate elements actualize bilinear interpolation (SFE-4), biguadratic interpolation (SFE-8), bicubic interpolation (SFE-12). Trivariate elements actualize trilinear interpolation (SFE-8), triguadratic interpolation (SFE-20), tricubic interpolation (SFE-32). SFE badly yield to any formal characterization. It is established that the SFE alternative basises can not be obtained with the help of the traditional method of inverse matrix. It is better to use the geometric modeling on these elements. Its advantages become apparent on the elements of higher orders. The results of geometric analyses of SFE basis funstion testify that to build basis one can confine oneself only two-dimensional subspace and surfaces of the second order.
Product Description
popup.authors
popup.nrat_date
2020-04-02
