In this article, we study the residual-based a posteriori error estimates of the two-grid finite
element methods for the second order nonlinear elliptic boundary value problems …

Based on the analysis of Cockburn et al.[Math. Comp. 78 (2009), pp. 1-24] for a selfadjoint
linear elliptic equation, we first discuss superconvergence results for nonselfadjoint linear …

In this article, a priori error bounds are derived for an hp-local discontinuous Galerkin (LDG)
approximation to a parabolic integro-differential equation. It is shown that error estimates in …

This paper concerns an error analysis of the space semidiscrete scheme for the Richards'
equation modeling flows in variably saturated porous media. This nonlinear parabolic partial …

In this paper, we propose and study the residual-based a posteriori error estimates of h-
version of symmetric interior penalty discontinuous Galerkin method for solving a class of …

This paper introduces and analyzes a staggered discontinuous Galerkin (DG) method for
quasi-Newtonian Stokes flow problems on polytopal meshes. The method introduces the …

In this article, we design and analyze a hybrid high-order (HHO) finite element
approximation for a class of strongly nonlinear boundary value problems. We consider an …

In this paper, we develop a novel discontinuous Galerkin (DG) finite element method for
solving the Poisson's equation ux x+ uyy= f (x, y) on Cartesian grids. The proposed method …

In this paper, we consider the discontinuous Galerkin finite element method for the strongly
nonlinear elliptic boundary value problems in a convex polygonal\varOmega ⊂\mathbb R …

In this paper, we design and analyze a hybrid high-order approximation for a class of
quasilinear elliptic problems of nonmonotone type. The proposed method has several …