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Mathematics - Computational Science & Engineering | A Simple Introduction to the Mixed Finite Element Method - Theory and Applications

A Simple Introduction to the Mixed Finite Element Method

Theory and Applications

Gatica, Gabriel N.

2014, XII, 132 p.

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  • Presentation and explanation of most of the details in the proofs and in the different applications
  • Inclusion of results that are usually available only in papers or proceedings
  • Emphasis on core concepts and fundamental results that need to be understood previously by thesis students and young researchers
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.

Content Level » Research

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

Related subjects » Analysis - Computational Science & Engineering - Dynamical Systems & Differential Equations

Table of contents 

Introduction.- The Babuska-Brezzi Theory.- Raviart-Thomas Spaces.- Mixed Finite Element Methods.

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