An Introduction to the Finite Element Method for Differential Equations. Mohammad Asadzadeh

An Introduction to the Finite Element Method for Differential Equations - Mohammad Asadzadeh


Скачать книгу

      295 286

      296 287

      297 288

      298 289

      299 290

      300 291

      301 292

      302 293

      303  295

      304  296

      305  297

      306  298

      307  299

      308  300

      309  301

      310  302

      311  303

      312  304

      313  305

      314  306

      315  307

      316 308

      317 309

      318 310

      319  311

      320  313

      321  314

      322  315

      323  316

      324  317

      325 318

      326 319

      327 320

      328 321

      329 322

      330 323

      331 324

      332 325

      333  327

      334 328

      335 329

      336 330

      337 331

      338  332

      An Introduction to the Finite Element Method for Differential Equations

       M. Asadzadeh

      © 2021 John Wiley & Sons, Inc.

      All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by law. Advice on how to obtain permission to reuse material from this title is available at http://www.wiley.com/go/permissions.

      The right of Mohammed Asadzadeh to be identified as the author of this work has been asserted in accordance with law.

       Registered Office

      John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, USA

       Editorial Office

      111 River Street, Hoboken, NJ 07030, USA

      For details of our global editorial offices, customer services, and more information about Wiley products visit us at www.wiley.com.

      Wiley also publishes its books in a variety of electronic formats and by print‐on‐demand. Some content that appears in standard print versions of this book may not be available in other formats.

       Limit of Liability/Disclaimer of Warranty

      While the publisher and authors have used their best efforts in preparing this work, they make no representations or warranties with respect to the accuracy or completeness of the contents of this work and specifically disclaim all warranties, including without limitation any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives, written sales materials or promotional statements for this work. The fact that an organization, website, or product is referred to in this work as a citation and/or potential source of further information does not mean that the publisher and authors endorse the information or services the organization, website, or product may provide or recommendations it may make. This work is sold with the understanding that the publisher is not engaged in rendering professional services. The advice and strategies contained herein may not be suitable for your situation. You should consult with a specialist where appropriate. Further, readers should be aware that websites listed in this work may have changed or disappeared between when this work was written and when it is read. Neither the publisher nor authors shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages.

       Library of Congress Cataloging‐in‐Publication Data

      Names: Asadzadeh, M., author.

      Title: An introduction to the finite element method for differential

      equations / M. Asadzadeh.

      Description: Hoboken, NJ : Wiley, [2020] | Includes bibliographical

      references and index.

      Identifiers: LCCN 2020008313 (print) | LCCN 2020008314 (ebook) | ISBN

      9781119671640 (cloth) | ISBN 9781119671671 (adobe pdf) | ISBN

      9781119671664 (epub)

      Subjects: LCSH: Finite element method. | Differential equations.

      Classification: LCC TA347.F5 A83 2020 (print) | LCC TA347.F5 (ebook) |

      DDC 515/.35--dc23

      LC record available at https://lccn.loc.gov/2020008313

      LC ebook record available at https://lccn.loc.gov/2020008314

      Cover Design: Wiley

      Cover Image: Courtesy of: Mohammad Asadzadeh and Larisa Beilina

      This book is an introduction to finite element methods (FEMs) used in the numerical solution of differential equations based on the piecewise polynomial approximations of the solutions. The presented material is accessible for upper undergraduates and starting graduate students in natural science and engineering. We mention three books for further and deeper study of FEM for differential equations.

      Brenner, S.C. and Scott, L.R. The Mathematical Theory of Finite Element Methods. Springer, ed 3, 2017.

      Ern, A. and Guermond, J.‐L. Theory and Practice of Finite Elements. Springer, 2004.

      Larsson, S. and Thomée, V. Partial Differential Equations with Numerical Methods. Springer, 2003.

      The material is presented in three main theme.

      (I) Basic theory: Chapters 1 and 2,


Скачать книгу