A dual interpolation boundary face method with Hermite-type approximation for potential problems |
| |
| Affiliation: | 1. Dpto. Matemática Aplicada, Universidad Politécnica de Madrid (UPM), Avda. Complutense s/n, 28040 Madrid, Spain;2. Dpto. Producción Agraria. E.T.S.I.A.A.B., UPM, 28040 Madrid, Spain;3. CEIGRAM, UPM, Avda. Complutense s/n, 28040 Madrid, Spain;4. Grupo de Sistemas Complejos, E.T.S.I.A.A.B., UPM, 28040 Madrid, Spain;1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China;2. School of Mathematics and Statistics, Wuhan University, Wuhan 430070, China;1. Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran;2. Department of Statistics, Faculty of Sciences, University of Zanjan, Zanjan, Iran;1. College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, PR China;2. Key Laboratory of Operations Research and Control of Universities in Fujian, Fuzhou University, Fuzhou 350116, PR China;1. University Littoral Côte d’Opale, LMPA, Calais F- 62228, France;2. La Rochelle Université, MIA, La Rochelle F-17031, France;3. Mongolian University of Science and Technology, Mongolia |
| |
| Abstract: | This paper presents the dual interpolation boundary face method combined with a Hermite-type moving-least-squares approximation for solving complex two-dimensional potential problems. Compared to the standard algorithms, this combined method is better suited for structures with small feature sizes such as short edges and small chamfers. The interpolation functions, if constructed in cyclic coordinates, making it difficult to apply this new method to deal with complex structures with small feature sizes in which only one source point is assigned. The Hermite-type approximation formulated in Cartesian coordinates is able to completely overcome this obstacle by searching for source points on adjacent edges. Additionally, an improved and incomplete quadratic polynomial basis is presented to obtain an accurate algorithm for the Hermite-type approximation. We use several numerical examples to demonstrate the high accuracy and efficiency of the proposed method for solving various engineering structures with small feature sizes. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
