Finite Element Methods and Their Applications

  • Zhangxin Chen

Part of the Scientific Computation book series (SCIENTCOMP)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Pages 117-171
  3. Pages 261-304
  4. Pages 305-320
  5. Pages 321-335
  6. Pages 363-384
  7. Back Matter
    Pages 385-410

About this book


This book serves as a text for one- or two-semester courses for upper-level undergraduates and beginning graduate students and as a professional reference for people who want to solve partial differential equations (PDEs) using finite element methods. The author has attempted to introduce every concept in the simplest possible setting and maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Quite a lot of attention is given to discontinuous finite elements, characteristic finite elements, and to the applications in fluid and solid mechanics including applications to porous media flow, and applications to semiconductor modeling. An extensive set of exercises and references in each chapter are provided.


Characteristic Finite Element Method Discontinuous Finite Element Method Finite Element Method Fluid Flow Simulation Scientific Computing Semiconductor Modeling fluid mechanics mechanics

Authors and affiliations

  • Zhangxin Chen
    • 1
  1. 1.Department of MathematicsSouthern Methodist UniversityDallasUSA

Bibliographic information