Spectral methods application in problems of the thin-walled‎ structures deformation

D Tkachenko, Y Tsegelnyk, S Myntiuk… - Journal of Applied and …, 2022 - jacm.scu.ac.ir
The spectral method (p-FEM) is used to solve the problem of a thin-walled structure
deformation, such as a stiffened panel. The problem of the continuous conjugation of the …

A multi-domain spectral-Galerkin method for the Neumann problem on quadrilaterals

Y Ma, T Wang, Y Shang - Computers & Mathematics with Applications, 2024 - Elsevier
A multi-domain spectral-Galerkin method for the Neumann problem on quadrilaterals is
proposed. We establish first some results on the composite approximation of Legendre in …

A spectral method for solving nonhomogeneous Neumann boundary value problems on quadrilaterals

T Wang, T Sun - Applied Numerical Mathematics, 2020 - Elsevier
In this paper, we develop a spectral method with essential imposition of nonhomogeneous
Neumann boundary condition on quadrilaterals. Results on irrational orthogonal …