Numerical Approximation of Partial Differential Equations

Nonfiction, Science & Nature, Mathematics, Number Systems, Differential Equations
Cover of the book Numerical Approximation of Partial Differential Equations by Sören Bartels, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Sören Bartels ISBN: 9783319323541
Publisher: Springer International Publishing Publication: June 2, 2016
Imprint: Springer Language: English
Author: Sören Bartels
ISBN: 9783319323541
Publisher: Springer International Publishing
Publication: June 2, 2016
Imprint: Springer
Language: English

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 for model problems arising in continuum mechanics. The first part of the book discusses elementary properties of linear partial differential equations along with their basic numerical approximation, the functional-analytical framework for rigorously establishing existence of solutions, and the construction and analysis of basic finite element methods. The second part is devoted to the optimal adaptive approximation of singularities and the fast iterative solution of linear systems of equations arising from finite element discretizations. In the third part, the mathematical framework for analyzing and discretizing saddle-point problems is formulated, corresponding finte element methods are analyzed, and particular applications including incompressible elasticity, thin elastic objects, electromagnetism, and fluid mechanics are addressed. The book includes theoretical problems and practical projects for all chapters, and an introduction to the implementation of finite element methods.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 for model problems arising in continuum mechanics. The first part of the book discusses elementary properties of linear partial differential equations along with their basic numerical approximation, the functional-analytical framework for rigorously establishing existence of solutions, and the construction and analysis of basic finite element methods. The second part is devoted to the optimal adaptive approximation of singularities and the fast iterative solution of linear systems of equations arising from finite element discretizations. In the third part, the mathematical framework for analyzing and discretizing saddle-point problems is formulated, corresponding finte element methods are analyzed, and particular applications including incompressible elasticity, thin elastic objects, electromagnetism, and fluid mechanics are addressed. The book includes theoretical problems and practical projects for all chapters, and an introduction to the implementation of finite element methods.

More books from Springer International Publishing

Cover of the book Telling Environmental Histories by Sören Bartels
Cover of the book Mathematical Aspects of Computer and Information Sciences by Sören Bartels
Cover of the book Organometallic Fluorine Chemistry by Sören Bartels
Cover of the book Emerging Economy MNEs by Sören Bartels
Cover of the book Bubble Systems by Sören Bartels
Cover of the book Trends in Artificial Intelligence: PRICAI 2016 Workshops by Sören Bartels
Cover of the book Surgery of the Skull Base by Sören Bartels
Cover of the book Proprioception in Orthopaedics, Sports Medicine and Rehabilitation by Sören Bartels
Cover of the book Cartilage Restoration by Sören Bartels
Cover of the book Multidisciplinary Perspectives on Genocide and Memory by Sören Bartels
Cover of the book The Political Economy of Normative Trade Power Europe by Sören Bartels
Cover of the book How to Make Things Happen by Sören Bartels
Cover of the book The Schism of ’68 by Sören Bartels
Cover of the book Rape Culture, Gender Violence, and Religion by Sören Bartels
Cover of the book Active Surveillance for Localized Prostate Cancer by Sören Bartels
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy