A Parallel Solver for a Preconditioned Space-Time Boundary Element Method for the Heat Equation

In this note we describe a parallel solver for the discretized weakly singular spacetime boundary integral equation of the spatially two-dimensional heat equation. The global space-time nature of the system matrices leads to improved parallel scalability

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Ronald Haynes · Scott MacLachlan Xiao-Chuan Cai · Laurence Halpern Hyea Hyun Kim · Axel Klawonn Olof Widlund Editors

Domain Decomposition Methods in Science and Engineering XXV Editorial Board T. J.Barth M.Griebel D.E.Keyes R.M.Nieminen D.Roose T.Schlick

Lecture Notes in Computational Science and Engineering Editors: Timothy J. Barth Michael Griebel David E. Keyes Risto M. Nieminen Dirk Roose Tamar Schlick

138

More information about this series at http://www.springer.com/series/3527

Ronald Haynes • Scott MacLachlan Xiao-Chuan Cai • Laurence Halpern Hyea Hyun Kim • Axel Klawonn Olof Widlund Editors

Domain Decomposition Methods in Science and Engineering XXV

Editors Ronald Haynes Department of Mathematics and Statistics Memorial University of Newfoundland St. John’s, NL, Canada

Scott MacLachlan Department of Mathematics and Statistics Memorial University of Newfoundland St. John’s, NL, Canada

Xiao-Chuan Cai Department of Computer Science University of Colorado Boulder, CO, USA

Laurence Halpern Laboratoire Analyse, Geometrie Université Paris XIII Villetaneuse, France

Hyea Hyun Kim Department of Applied Mathematics Kyung Hee University Yongin, Republic of Korea

Axel Klawonn Mathematisches Institut Universität zu Köln Köln, Germany

Olof Widlund New York University New York, NY, USA

ISSN 1439-7358 ISSN 2197-7100 (electronic) Lecture Notes in Computational Science and Engineering ISBN 978-3-030-56749-1 ISBN 978-3-030-56750-7 (eBook) https://doi.org/10.1007/978-3-030-56750-7 Mathematics Subject Classification (2020): 65F10, 65N30, 65N55 © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Cover illustration: Page 92, Fig. 1. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

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This volume c