Multiresolution method for bending of plates with complex shapes

• Published in: Applied mathematics and mechanics Vol. 44; no. 4; pp. 561 - 582
• Main Authors: Wang, Jizeng, Feng, Yonggu, Xu, Cong, Liu, Xiaojing, Zhou, Youhe
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2023; Springer Nature B.V; Key Laboratory of Mechanics on Disaster and Environment in Western China(Lanzhou University),the Ministry of Education,Lanzhou 730000,China; College of Civil Engineering and Mechanics,Lanzhou University,Lanzhou 730000,China
• Edition: English ed.
• Subjects: Accuracy; Applications of Mathematics; Approximation; Basis functions; Bending; Boundary conditions; Classical Mechanics; Complexity; Derivatives; Differential equations; Domains; Exact solutions; Finite element method; Fluid- and Aerodynamics; Integrals; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; Plates; O302; 34B15; complex shape; wavelet integral collocation method; multiresolution; generalized Coiflet; high accuracy; irregular domain; plate bending; 65L11
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-023-2972-8

A high-accuracy multiresolution method is proposed to solve mechanics problems subject to complex shapes or irregular domains. To realize this method, we design a new wavelet basis function, by which we construct a fifth-order numerical scheme for the approximation of multi-dimensional functions and...