This book is the first volume of a three-part textbook suitable for graduate coursework,
professional engineering and academic research. It is also appropriate for graduate flipped …

The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modelling and the …

We introduce the nonconforming Virtual Element Method (VEM) for the approximation of
second order elliptic problems. We present the construction of the new element in two and …

This paper is concerned with develo** a medius error analysis for several nonconforming
virtual element methods (VEMs) for the Poisson equation and the biharmonic equation in …

In this paper we introduce the hp-version discontinuous Galerkin composite finite element
method for the discretization of second-order elliptic partial differential equations. This class …

An interior-penalty discontinuous Galerkin (dG) method for an\penalty-10000 elliptic
interface problem involving, possibly, curved interfaces, with flux-\penalty-10000 balancing …

The paper is to introduce a new systematic method that can produce lower bounds for
eigenvalues. The main idea is to use nonconforming finite element methods. The conclusion …

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 …

This introductory chapter on the mathematical theory of finite element methods (FEMs)
discusses its h-version for elliptic boundary value problems in the displacement formulation …

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 …