AN APPROACH TO INTERPOLATION OF UNKNOWN FUNCTIONS IN THE PROBLEMS OF CALCULATION MESH QUALITY IMPROVEMENT
The paper presents an approach to solving the task of calculating the value of some function in a set point basing on its values set on some fixed system of points. The approach is based on the use of interpolation functions of Sibson’s and Laplace’s shape-functions. The properties of both functions...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Kemerovo State University
2014-11-01
|
| Series: | Вестник Кемеровского государственного университета |
| Subjects: | |
| Online Access: | https://vestnik.kemsu.ru/jour/article/view/1127 |
| _version_ | 1827902360172625920 |
|---|---|
| author | T. S. Reyn S. N. Karabtsev |
| author_facet | T. S. Reyn S. N. Karabtsev |
| author_sort | T. S. Reyn |
| collection | DOAJ |
| description | The paper presents an approach to solving the task of calculating the value of some function in a set point basing on its values set on some fixed system of points. The approach is based on the use of interpolation functions of Sibson’s and Laplace’s shape-functions. The properties of both functions are considered, the interpolation accuracy is defined by solving a Poisson equation with the method of trial functions. |
| first_indexed | 2024-03-12T23:57:24Z |
| format | Article |
| id | doaj.art-c19c3661c18545b4844cc4f63f32259c |
| institution | Directory Open Access Journal |
| issn | 2078-8975 2078-8983 |
| language | English |
| last_indexed | 2024-03-12T23:57:24Z |
| publishDate | 2014-11-01 |
| publisher | Kemerovo State University |
| record_format | Article |
| series | Вестник Кемеровского государственного университета |
| spelling | doaj.art-c19c3661c18545b4844cc4f63f32259c2023-07-13T12:08:33ZengKemerovo State UniversityВестник Кемеровского государственного университета2078-89752078-89832014-11-0104-157661126AN APPROACH TO INTERPOLATION OF UNKNOWN FUNCTIONS IN THE PROBLEMS OF CALCULATION MESH QUALITY IMPROVEMENTT. S. Reyn0S. N. Karabtsev1Kemerovo State UniversityKemerovo State UniversityThe paper presents an approach to solving the task of calculating the value of some function in a set point basing on its values set on some fixed system of points. The approach is based on the use of interpolation functions of Sibson’s and Laplace’s shape-functions. The properties of both functions are considered, the interpolation accuracy is defined by solving a Poisson equation with the method of trial functions.https://vestnik.kemsu.ru/jour/article/view/1127sibsonian interpolationlaplace interpolationshape functionmesh-free methodsnumerical simulationmesh refinement |
| spellingShingle | T. S. Reyn S. N. Karabtsev AN APPROACH TO INTERPOLATION OF UNKNOWN FUNCTIONS IN THE PROBLEMS OF CALCULATION MESH QUALITY IMPROVEMENT Вестник Кемеровского государственного университета sibsonian interpolation laplace interpolation shape function mesh-free methods numerical simulation mesh refinement |
| title | AN APPROACH TO INTERPOLATION OF UNKNOWN FUNCTIONS IN THE PROBLEMS OF CALCULATION MESH QUALITY IMPROVEMENT |
| title_full | AN APPROACH TO INTERPOLATION OF UNKNOWN FUNCTIONS IN THE PROBLEMS OF CALCULATION MESH QUALITY IMPROVEMENT |
| title_fullStr | AN APPROACH TO INTERPOLATION OF UNKNOWN FUNCTIONS IN THE PROBLEMS OF CALCULATION MESH QUALITY IMPROVEMENT |
| title_full_unstemmed | AN APPROACH TO INTERPOLATION OF UNKNOWN FUNCTIONS IN THE PROBLEMS OF CALCULATION MESH QUALITY IMPROVEMENT |
| title_short | AN APPROACH TO INTERPOLATION OF UNKNOWN FUNCTIONS IN THE PROBLEMS OF CALCULATION MESH QUALITY IMPROVEMENT |
| title_sort | approach to interpolation of unknown functions in the problems of calculation mesh quality improvement |
| topic | sibsonian interpolation laplace interpolation shape function mesh-free methods numerical simulation mesh refinement |
| url | https://vestnik.kemsu.ru/jour/article/view/1127 |
| work_keys_str_mv | AT tsreyn anapproachtointerpolationofunknownfunctionsintheproblemsofcalculationmeshqualityimprovement AT snkarabtsev anapproachtointerpolationofunknownfunctionsintheproblemsofcalculationmeshqualityimprovement AT tsreyn approachtointerpolationofunknownfunctionsintheproblemsofcalculationmeshqualityimprovement AT snkarabtsev approachtointerpolationofunknownfunctionsintheproblemsofcalculationmeshqualityimprovement |