Understanding and Implementing the Finite Element Method - Brossura

Gockenbach, Mark S.

Brossura

ISBN 10: 0898716144 ISBN 13: 9780898716146

Casa editrice: Society for Industrial and Applied Mathematics, 1987

Riassunto

The finite element method is the most powerful general-purpose technique for computing accurate solutions to partial differential equations. This book contains a thorough derivation of the finite element equations as well as sections on programming the necessary calculations, solving the finite element equations, and using a posteriori error estimates to produce validated solutions. Accessible introductions to advanced topics, such as multigrid solvers, the hierarchical basis conjugate gradient method, and adaptive mesh generation, are provided. Each chapter ends with exercises to help readers master these topics. The book is practical in nature. It includes a carefully documented collection of MATLAB programs implementing the ideas presented. Readers will benefit from a detailed explanation of data structures and specific coding strategies and will learn how to write a finite element code from scratch. Students can use the MATLAB codes to experiment with the method and extend them in various ways.

Su questo libro

Recensione:

'Upon completion of this book a student or researcher would be well prepared to employ finite elements for an application problem or proceed to the cutting edge of research in finite element methods. The accuracy and the thoroughness of the book are excellent.' Anthony Kearsley, National Institute of Standards and Technology

Descrizione del libro:

Contains a thorough derivation of the finite element equations as well as sections on programming the necessary calculations, solving the finite element equations, and using a posteriori error estimates to produce validated solutions. Practical in nature, the book includes a carefully documented collection of MATLAB programs implementing the ideas presented.

Su questa edizione

• Editore: Society for Industrial and Applied Mathematics
• Data di pubblicazione: 1987
• ISBN 10: 0898716144
• ISBN 13: 9780898716146
• Rilegatura: Copertina flessibile
• Numero di pagine: 392