130 citations · 574 across the 22 of their papers we have counts for
5 papers · 1 filter
A mixed element scheme of Helmholtz transmission eigenvalue problem for anisotropic media
Qing Liu, Tiexiang Li, Shuo Zhang
In this paper, we study the Helmholtz transmission eigenvalue problem for inhomogeneous anisotropic media with the index of refraction in two and three dimension. St…
A primal finite element scheme of the Hodge Laplace problem
Shuo Zhang
In this paper, a unified family, for any and , of nonconforming finite element schemes are presented for the primal weak formulation of th…
A primal finite element scheme of the elliptic problem
Shuo Zhang
In this paper, a unified family, for and , of finite element schemes are presented for the primal weak formulation of the -dimensional…
Nonconforming finite element spaces for in
Shuo Zhang
This paper constructs a unified family of nonconforming finite element spaces for in (, ). The spaces employ piecewise…
Optimal solvers for fourth-order PDEs discretized on unstructured grids
Shuo Zhang, Jinchao Xu
This paper provides the first provable algorithms for the linear system arising from the direct finite element discretization of the fourth-order equation w…