With the growing development and utilization of underground space and resources, rock
masses exposed to high stresses and pore pressure, large temperature changes, and …

We propose an arbitrary-order discontinuous Galerkin method for second-order elliptic
problem on general polygonal mesh with only one degree of freedom per element. This is …

We devise variants of classical nonconforming methods for symmetric elliptic problems.
These variants differ from the original ones only by transforming discrete test functions into …

This article surveys research on the application of compatible finite element methods to
large-scale atmosphere and ocean simulation. Compatible finite element methods extend …

The∞‐Bilaplacian is a third‐order fully nonlinear PDE given by In this work, we build a
numerical method aimed at quantifying the nature of solutions to this problem, which we …

In this paper, we present a simple a posteriori error estimate for the weak Galerkin (WG)
finite element method for a model second order elliptic equation. This residual type estimator …

In the presented paper, a study of bi-axial buckling of the laminated composite plate with
mass variation through the cutout and additional mass is carried out using the improved …

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 …

In this work we examine a posteriori error control for post-processed approximations to
elliptic boundary value problems. We introduce a class of post-processing operator that …

Within finite element models of fluids, vector-valued fields such as velocity or momentum
variables are commonly discretised using the Raviart-Thomas elements. However, when …