A Posteriori Estimates for Partial Differential Equations / / Sergey I. Repin.

• Superior document: Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
• VerfasserIn: Repin, Sergey I. ,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2008]; ©2008
• Year of Publication: 2008
• Language: English
• Series: Radon Series on Computational and Applied Mathematics , 4
• Physical Description: 1 online resource (316 p.)
• Other title: Frontmatter --; Contents --; Preface --; 1. Introduction --; 2. Overview --; 3. Poisson’s equation --; 4. Linear elliptic problems --; 5. Elasticity --; 6. Incompressible viscous fluids --; 7. Generalizations --; 8. Nonlinear problems --; 9. A posteriori estimates for other --; problems --; Backmatter
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110203042; 9783110238570; 9783110238471; 9783110637205; 9783110212129; 9783110212136; 9783110209082; 9783110647174
• ISSN: 1865-3707
• DOI: 10.1515/9783110203042
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Sergey I. Repin.

This book deals with the reliable verification of the accuracy of approximate solutions which is one of the central problems in modern applied analysis. After giving an overview of the methods developed for models based on partial differential equations, the author derives computable a posteriori error estimates by using methods of the theory of partial differential equations and functional analysis. These estimates are applicable to approximate solutions computed by various methods.