Numerical Approximation of Partial Differential Equations

• Main Author: Bartels, Sören (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Texts in Applied Mathematics, 64
• Subjects: Mathematics.; Partial differential equations.; Numerical analysis.; Numerical Analysis.; Partial Differential Equations.

Finite element methods for approximating partial differential equations have reached a high degree of maturity, and are an indispensible tool in science and technology. This textbook aims at providing a thorough introduction to the construction, analysis, and implementation of finite element methods...

Table of Contents:

• Preface
• Part I Finite differences and finite elements
• Elliptic partial differential equations
• Finite Element Method
• Part II Local resolution and iterative solution
• Local Resolution Techniques
• Iterative Solution Methods
• Part III Constrained and singularly perturbed problems
• Saddled-point Problems
• Mixed and Nonstandard methods
• Applications
• Problems and Projects
• Implementation aspects
• Notations, inequalities, guidelines
• Index .