Výsledky vyhledávání - "SHANGYOU ZHANG"

Akademický článek

A pressure-robust stabilizer-free WG finite element method for the Stokes equations on simplicial grids

Publikováno v: Electronic Research Archive, Vol 32, Iss 5, Pp 3413-3432 (2024)

A pressure-robust stabilizer-free weak Galerkin (WG) finite element method has been defined for the Stokes equations on triangular and tetrahedral meshes. We have obtained pressure-independent error estimates for the velocity without any velocity rec

Externí odkaz: https://doaj.org/article/9039c12f759447e0861a1056cbfacad7

Zobrazit plný text záznamu

Plný text ve formátu HTML

Akademický článek

Explicit Symplectic Runge–Kutta–Nyström Methods Based on Roots of Shifted Legendre Polynomial

Autor: Jun Zhang, Jingjing Zhang, Shangyou Zhang

Publikováno v: Mathematics, Vol 11, Iss 20, p 4291 (2023)

To date, all explicit symplectic Runge–Kutta–Nyström methods of order five or above are derived by numerical solutions of order condition equations and symplectic condition. In this paper, we derive 124 sets of seven-stage fifth-order explicit s

Externí odkaz: https://doaj.org/article/7aab20f1f7ac4948b041ed046ecb53d8

Zobrazit plný text záznamu

Plný text ve formátu HTML

Akademický článek

A family of H-div-div mixed triangular finite elements for the biharmonic equation

Autor: Xiu Ye, Shangyou Zhang

Publikováno v: Results in Applied Mathematics, Vol 15, Iss , Pp 100318- (2022)

A family of Pk+22×2-PkH(divdiv)mixed finite elements on triangular grids is constructed for the biharmonic equation. For the H(divdiv)mixed finite element functions, both the stress tensor and its divergence have continuous normal components, σh⋅

Externí odkaz: https://doaj.org/article/c456ff371d874f48a4b940d0f159eb81

Zobrazit plný text záznamu

Akademický článek

Stabilizer-free weak Galerkin methods for monotone quasilinear elliptic PDEs

Autor: Xiu Ye, Shangyou Zhang, Yunrong Zhu

Publikováno v: Results in Applied Mathematics, Vol 8, Iss , Pp 100097- (2020)

In this paper, we study the stabilizer-free weak Galerkin methods on polytopal meshes for a class of second order elliptic boundary value problems of divergence form and with gradient nonlinearity in the principal coefficient. With certain assumption

Externí odkaz: https://doaj.org/article/39dec78f1b84419fa0af774e0158753c

Zobrazit plný text záznamu