The paper is concerned with the construction and convergence analysis of a discontinuous
Galerkin finite element method for the Cahn–Hilliard equation with convection. Using …

In this paper, an interior penalty virtual element method (IPVEM) is developed for solving the
biharmonic problem on polygonal meshes. By modifying the existing $ H^ 2$-conforming …

We establish a general framework to study the conforming and nonconforming virtual
element methods (VEMs) for solving a Kirchhoff plate contact problem with friction, which is …

A general framework of constructing C0 discontinuous Galerkin (CDG) methods is
developed for solving the Kirchhoff plate bending problem, following some ideas in (Castillo …

In this paper, we present a stabilized mixed hybrid discontinuous Galerkin finite element
method for solving fourth-order parabolic problems such as the Cahn–Hilliard equation used …

We present guaranteed and computable both sided error bounds for the discontinuous
Galerkin (DG) approximations of elliptic problems. These estimates are derived in the full DG …

We introduce an interior penalty discontinuous Galerkin finite element method for the
Reissner–Mindlin plate model that, as the plate's half-thickness ϵ tends to zero, recovers a …

In this article we introduce a new locking-free completely discontinuous formulation for
Reissner–Mindlin plates that combines the discontinuous Galerkin methods with weakly …

We propose and analyze a reduced local C0 discontinuous Galerkin (reduced LCDG)
method with minimal penalization for Kirchhoff plate bending problems. The resulting linear …

We present a Hermite-type virtual element method with interior penalty to solve the fourth-
order elliptic problem over general polygonal meshes, where some interior penalty terms …