In this paper we will present a review of recent advances in the application of the augmented
Lagrange multiplier method as a general approach for generating multiplier-free stabilised …

Sixth-order boundary value problems of a one-parameter gradient-elastic Kirchhoff plate
model are formulated in a weak form within an H 3 Sobolev space setting with the …

The fourth-order boundary value problems of one parameter gradient-elastic bar and plane
strain/stress models are formulated in a variational form within an H 2 Sobolev space setting …

An a posteriori error estimator for a quadratic C0-interior penalty method for the biharmonic
problem Page 1 IMA Journal of Numerical Analysis (2010) 30, 777–798 doi:10.1093/imanum/drn057 …

We introduce a residual-based a posteriori error indicator for discontinuous Galerkin
discretizations of the biharmonic equation with essential boundary conditions. We show that …

A new approach is introduced for deriving a mixed variational formulation for Kirchhoff plate
bending problems with mixed boundary conditions involving clamped, simply supported …

We develop a method to compute the-conforming finite element approximation to planar
fourth order elliptic problems without having to implement elements. The algorithm consists …

We study the applicability of the discontinuous Petrov–Galerkin (DPG) variational framework
for thin-body problems in structural mechanics. Our numerical approach is based on …

We introduce a new mixed method for the biharmonic problem. The method is based on a
formulation where the biharmonic problem is rewritten as a system of four first-order …

In this paper, we present a posteriori error analysis for the nonconforming Morley element of
the fourth order elliptic equation. We propose a new residual-based a posteriori error …