A posteriori error estimators based on auxiliary subspace techniques for second order
elliptic problems in R d (d≥ 2) are considered. In this approach, the solution of a global …

In this work we solve a Stokes-Darcy coupled problem in a plane curved domain using
curved elements. We approximate the velocity-pressure pair by applying the MINI-element …

In this paper we obtain a priori and a posteriori error estimates for stabilized low-order mixed
finite element methods for the Stokes eigenvalue problem. We prove the convergence of the …

In this paper, we propose an a posteriori error estimator for the stabilized lowest order
Crouzeix–Raviart element applied to the Brinkman equations. The error estimator comprises …

This work proposes and analyses an adaptive finite element scheme for the fully non-linear
incompressible Navier-Stokes equations. A residual a posteriori error estimator is shown to …

In this paper we develop and analyze a unified approximation of the velocity–pressure pair
for the Stokes–Darcy coupled problem in a plane domain. It is well known that, stable finite …

We derive computable a posteriori error estimates for a wide family of low-order conforming
and conforming stabilized finite element approximations for fluid flow problems. The …

We consider a stabilized mixed finite element method introduced recently for the
generalized Stokes problem. The method is obtained by adding suitable least squares terms …

This work combines two complementary strategies for solving the steady incompressible
Navier–Stokes model with a zeroth‐order term, namely, a stabilized finite element method …

Based on a hierarchical basis a posteriori error estimator, an adaptive weak Galerkin finite
element method (WGFEM) is proposed for the Stokes problem in two and three dimensions …