This book covers finite element methods for several typical eigenvalues that arise from
science and engineering. Both theory and implementation are covered in depth at the …

This article presents a weak Galerkin (WG) finite element method for the Cahn-Hilliard
equation. The WG method makes use of piecewise polynomials as approximating functions …

Since the nonconforming P1 finite element method for the Stokes equations was introduced
by M. Crouzeix and PA Raviart in 1973, there have been many advances in the finite …

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 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 …

We consider the C 0 interior penalty Galerkin method for biharmonic eigenvalue problems
with the boundary conditions of the clamped plate, the simply supported plate and the Cahn …

We propose a C 0 interior penalty method (C0-IPM) for the computational modelling of
flexoelectricity, with application also to strain gradient elasticity, as a simplified case …

We focus here on a class of fourth-order parabolic equations that can be written as a system
of second-order equations by introducing an auxiliary variable. We design a novel second …

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 …

We consider an elliptic distributed optimal control problem on convex polygonal domains
with pointwise state constraints and solve it as a fourth order variational inequality for the …