We devise an arbitrary-order locking-free method for linear elasticity. The method relies on a
pure-displacement (primal) formulation and leads to a symmetric, positive definite system …

A new weak Galerkin (WG) method is introduced and analyzed for the second order elliptic
equation formulated as a system of two first order linear equations. This method, called WG …

Abstract We present a Virtual Element Method (VEM) for possibly nonlinear elastic and
inelastic problems, mainly focusing on a small deformation regime. The numerical scheme is …

We present, in a unified framework, new conforming and nonconforming virtual element
methods for general second-order elliptic problems in two and three dimensions. The …

In this paper we develop an evolution of the C^1 virtual elements of minimal degree for the
approximation of the Cahn--Hilliard equation. The proposed method has the advantage of …

This paper introduces a weak Galerkin (WG) finite element method for the Stokes equations
in the primal velocity-pressure formulation. This WG method is equipped with stable finite …

In the present paper we introduce a Virtual Element Method (VEM) for the approximate
solution of general linear second order elliptic problems in mixed form, allowing for variable …

Abstract Hybrid High-Order (HHO) methods are formulated in terms of discrete unknowns
attached to mesh faces and cells (hence, the term hybrid), and these unknowns are …

High order methods based on diagonal-norm summation by parts operators can be shown
to satisfy a discrete conservation or dissipation of entropy for nonlinear systems of …

This paper introduces a numerical scheme for the time-harmonic Maxwell equations by
using weak Galerkin (WG) finite element methods. The WG finite element method is based …