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Carte Numerical Approximation of Partial Differential Equations Soren Bartels

Numerical Approximation of Partial Differential Equations

Autor: Soren Bartels
Limbă: engleză
Legare: Copertă tare
Editura: Springer International Publishing AG
Disponibilitate: În depozitul extern
Expediem în 10-18 zile
290.61 lei
Finite element methods for approximating partial differential equations have reached a high degree o...

Informații despre carte

Autor
Soren Bartels
Limbă
engleză
Legare
Carte - Copertă tare
Publicat
2016
Pagini
535
EAN
9783319323534
ISBN
3319323539
Enbook ID
02962858
Editura
Springer International Publishing AG
Greutate
1000
Dimensiuni
242 x 166 x 31

Descriere completă

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.

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