Optimization in Elliptic Problems with Applications to Mechanics of Deformable Bodies and Fluid Mechanics, William G. Litvinov
Автор: David H. Allen Название: Introduction to the Mechanics of Deformable Solids ISBN: 1493900838 ISBN-13(EAN): 9781493900831 Издательство: Springer Рейтинг: Цена: 8487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book introduces the theory of beams and bars, including axial, torsion, and bending loading. It provides failure analysis based on maximum stress criteria and introduces design using models developed in the text.
Автор: Issam Doghri Название: Mechanics of Deformable Solids ISBN: 3642086292 ISBN-13(EAN): 9783642086298 Издательство: Springer Рейтинг: Цена: 15672.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Three subjects of major interest in one textbook: linear elasticity, mechanics of structures in linear isotropic elasticity, and nonlinear mechanics including computational algorithms.
Описание: The methods considered in the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) have properties which offer distinct advantages for a number of applications.
Описание: The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudo-differential operators relevan
Описание: The methods considered in the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) have properties which offer distinct advantages for a number of applications.
This book is the second volume of proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017). It includes reviewed contributions reporting successful applications in the fields of fluid dynamics, computational geosciences, structural analysis, nuclear physics, semiconductor theory and other topics.
The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications.
The book is useful for researchers, PhD and master's level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as for engineers working in numerical modeling and simulations.
Описание: This book presents a unifiedapproach to studying the stability of both elliptic Cauchy problems and selectedinverse problems. Based on elementary Carleman inequalities, it establishesthree-ball inequalities, which are the key to deriving logarithmic stabilityestimates for elliptic Cauchy problems and are also useful in proving stabilityestimates for certain elliptic inverse problems. The book presents three inverseproblems, the first of which consists in determining the surface impedance ofan obstacle from the far field pattern. The second problem investigates the detectionof corrosion by electric measurement, while the third concerns thedetermination of an attenuation coefficient from internal data, which ismotivated by a problem encountered in biomedical imaging.
