A Simple Introduction to the Mixed Finite Element Method

Theory and Applications

  • Gabriel N. Gatica

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Gabriel N. Gatica
    Pages 1-25
  3. Gabriel N. Gatica
    Pages 27-60
  4. Gabriel N. Gatica
    Pages 61-91
  5. Gabriel N. Gatica
    Pages 93-126
  6. Back Matter
    Pages 127-132

About this book

Introduction

The main purpose of this book is to provide a simple and accessible introduction to the mixed finite element method as a fundamental tool to numerically solve a wide class of boundary value problems arising in physics and engineering sciences. The book is based on material that was taught in corresponding undergraduate and graduate courses at the Universidad de Concepcion, Concepcion, Chile, during the last 7 years. As compared with several other classical books in the subject, the main features of the present one have to do, on one hand, with an attempt of presenting and explaining most of the details in the proofs and in the different applications. In particular several results and aspects of the corresponding analysis that are usually available only in papers or proceedings are included here.

Keywords

Babuska-Brezzi's theory Dual-mixed formulations Raviart-Thomas spaces boundary value problems in continuum mechanics inf-sup conditions

Authors and affiliations

  • Gabriel N. Gatica
    • 1
  1. 1.Centro de Investigaciòn en Ingenierìa Matemàtica and Departamento de Ingenierìa MatemàticaUniversidad de ConcepciònConcepciònChile

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-03695-3
  • Copyright Information Gabriel N. Gatica 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-03694-6
  • Online ISBN 978-3-319-03695-3
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • About this book