Completely revised text focuses on use of spectral methods to solve boundary value,
eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational …

Abstract Domain decomposition methods are designed to allow the effective numerical
solution of partial differential equations on parallel computer architectures. They comprise a …

We introduce a unifying framework for hybridization of finite element methods for second
order elliptic problems. The methods fitting in the framework are a general class of mixed …

Many physical systems require the description of mechanical interaction across interfaces if
they are to be successfully analyzed. Examples in the engineered world range from the …

The mortar finite element method allows the coupling of different discretization schemes and
triangulations across subregion boundaries. In the original mortar approach the matching at …

The past 10–15 years have seen important extensions of the mortar method, a technique for
joining dissimilar grids popularized by the domain decomposition community, to the more …

The application of mortar methods in the framework of isogeometric analysis is investigated
theoretically as well as numerically. For the Lagrange multiplier two choices of uniformly …

These notes serve as an introduction to a subject of study in computational mathematics
referred to as domain decomposition methods. It concerns divide and conquer methods for …

We consider variationally consistent discretization schemes for mechanical contact
problems. Most of the results can also be applied to other variational inequalities, such as …

A new method for the computational analysis of fluid–structure interaction of a Newtonian
fluid with slender bodies is developed. It combines ideas of the fictitious domain and the …