This article surveys preconditioning techniques for the iterative solution of large linear
systems, with a focus on algebraic methods suitable for general sparse matrices. Covered …

The boundary element method (BEM) in the context of acoustics or Helmholtz problems is
reviewed in this paper. The basis of the BEM is initially developed for Laplace's equation …

In the six years that have passed since the publication of the first edition of this book,
iterative methods for linear systems have made good progress in scientific and engineering …

A new edition of the leading textbook on the finite element method, incorporating major
advancements and further applications in the field of electromagnetics The finite element …

Based on extensive research by Henk van der Vorst, this book presents an overview of a
number of Krylov projection methods for the solution of linear systems of equations. Van der …

Analysis and computation, the most important and indispensable methods for processing
matrices, are closely related but two significantly different areas. The former focuses more on …

This dissertation focuses on efficiently forming reduced-order models for large, linear
dynamic systems. Projections onto unions of Krylov subspaces lead to a class of reduced …

In der angewandten Statistik können Regressionsmodelle mit hochdimensionalen
Koeffizienten auftreten, die sich nicht mit gewöhnlichen Computersystemen schätzen …

In this paper, the governing equations of non-isothermal two-phase flow in unsaturated,
deformable porous media are presented based on different representations of the gaseous …

This work is an overview of our preliminary experience in developing a high-performance
iterative linear solver accelerated by GPU coprocessors. Our goal is to illustrate the …