C0 Interior Penalty Methods Page 1 C0 Interior Penalty Methods Susanne C. Brenner Abstract
C0 interior penalty methods are discontinuous Galerkin methods for fourth order problems. In …

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

We study a quadratic C^0 interior penalty method for the displacement obstacle problem of
Kirchhoff plates with general Dirichlet boundary conditions on general polygonal domains …

This paper studies the nonconforming Morley finite element approximation of the
eigenvalues of the biharmonic operator. A new conforming companion operator leads to an …

We study finite element methods for the displacement obstacle problem of clamped Kirchhoff
plates. A unified convergence analysis is provided for $ C^ 1$ finite element methods …

In this article, an alternative energy-space based approach is proposed for the Dirichlet
boundary control problem and then a finite-element based numerical method is designed …

In this article, we construct simple and convergent finite element methods for linear and
nonlinear elliptic differential equations in non-divergence form with discontinuous …

In this paper, we develop a C^0 interior penalty method for a fourth order singular
perturbation elliptic problem in two dimensions on polygonal domains. Using some a …

We develop a quadratic C^0 interior penalty method for linear fourth order boundary value
problems with essential and natural boundary conditions of the Cahn--Hilliard type. Both a …

In this article, we consider a discontinuous Galerkin method for the discretization of the
Stokes problem. We use-conforming finite elements, as they provide major benefits such as …