We devise and analyze two hybrid high-order (HHO) methods for the numerical
approximation of the biharmonic problem. The methods support polyhedral meshes, rely on …

In a conforming discontinuous Galerkin (CDG) finite element method, discontinuous P k
polynomials are employed. To connect discontinuous functions, the inter-element traces,{uh} …

This paper proposes and analyzes a weak Galerkin (WG) finite element method for 2-and 3-
dimensional convection–diffusion–reaction problems on conforming or nonconforming …

A stabilizer-free weak Galerkin (SFWG) finite element method was introduced and analyzed
in Ye and Zhang (SIAM J. Numer. Anal. 58: 2572–2588, 2020) for the biharmonic equation …

This paper is devoted to a newly developed weak Galerkin finite element method with the
stabilization term for a linear fourth order parabolic equation, where weakly defined …

A time-fractional quasi-linear diffusion equation with a Caputo time derivative of order 0< α<
1 is considered. The weak Galerkin finite element method is used for the space …

We devise and analyze-conforming hybrid high-order (HHO) methods to approximate
biharmonic problems with either clamped or simply supported boundary conditions …

This work presents the formulation and analysis of a H 1− conforming mixed virtual element
method (VEM) for the two-dimensional stationary incompressible Navier-Stokes (NS) …

One-dimensional fourth-order boundary value problems (BVPs) play a critical role in
engineering applications, particularly in the analysis of beams. Current numerical …

We propose and analyze a C0-weak Galerkin (WG) finite element method for the numerical
solution of the Navier-Stokes equations governing 2D stationary incompressible flows …