These are the proceedings of the 19th international conference on domain
decomposition methods in science and engineering. Domain decomposition
methods are iterative methods for solving the often very large linear or
nonlinear systems of algebraic equations that arise in various problems
in mathematics, computational science, engineering and industry. They
are designed for massively parallel computers and take the memory
hierarchy of such systems into account. This is essential for
approaching peak floating point performance. There is an increasingly
well-developed theory which is having a direct impact on the development
and improvement of these algorithms.