Advanced Finite Element Methods with Applications, Thomas Apel; Ulrich Langer; Arnd Meyer; Olaf Stein
Автор: Gockenbach Название: Understanding and Implementing the Finite Element Method ISBN: 0898716144 ISBN-13(EAN): 9780898716146 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 15048.00 р. Наличие на складе: Нет в наличии.
Описание: The finite element method is the most powerful general-purpose technique for computing accurate solutions to partial differential equations. This book contains a thorough derivation of the finite element equations as well as sections on programming the necessary calculations, solving the finite element equations, and using a posteriori error estimates to produce validated solutions. Accessible introductions to advanced topics, such as multigrid solvers, the hierarchical basis conjugate gradient method, and adaptive mesh generation, are provided. Each chapter ends with exercises to help readers master these topics. The book is practical in nature. It includes a carefully documented collection of MATLAB programs implementing the ideas presented. Readers will benefit from a detailed explanation of data structures and specific coding strategies and will learn how to write a finite element code from scratch. Students can use the MATLAB codes to experiment with the method and extend them in various ways.
Автор: Joachim Gwinner , Ernst Peter Stephan Название: Advanced Boundary Element Methods ISBN: 3319920006 ISBN-13(EAN): 9783319920009 Издательство: Springer Рейтинг: Цена: 8804.00 р. 12577.00-30% Наличие на складе: Есть (1 шт.) Описание: This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems.
It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods - efficient computational tools that have become extremely popular in applications. Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research. The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students.
Автор: Ulrich Langer; Martin Schanz; Olaf Steinbach; Wolf Название: Fast Boundary Element Methods in Engineering and Industrial Applications ISBN: 3642428142 ISBN-13(EAN): 9783642428142 Издательство: Springer Рейтинг: Цена: 21661.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume contains eight state of the art contributions on mathematical aspects and applications of fast boundary element methods in engineering and industry.
Автор: Thomas Apel; Olaf Steinbach Название: Advanced Finite Element Methods and Applications ISBN: 3642438547 ISBN-13(EAN): 9783642438547 Издательство: Springer Рейтинг: Цена: 20896.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Celebrating the work of Ulrich Langer and Arnd Meyer, this book explores analysis of domain decomposition and multilevel methods; efficient solution of eigenvalue problems related to PDEs with applications in electrical engineering and optics and more.
Описание: This book offers a thorough understanding of the applications of finite element method (FEM) to reliability modeling and an appreciation of the strengths and weaknesses of various numerical models for interconnect reliability.
Автор: Zhangxin Chen Название: Finite Element Methods and Their Applications ISBN: 3642063217 ISBN-13(EAN): 9783642063213 Издательство: Springer Рейтинг: Цена: 10447.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Contains unique recent developments of various finite elements such as nonconforming, mixed, discontinuous, characteristic, and adaptive finite elements, along with their applications.
Автор: Daniele Boffi; Franco Brezzi; Michel Fortin Название: Mixed Finite Element Methods and Applications ISBN: 3642365183 ISBN-13(EAN): 9783642365188 Издательство: Springer Рейтинг: Цена: 25155.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Here is a framework for mixed finite element methods, moving from a finite dimensional presentation, then on to formulation in Hilbert spaces and approximations, stabilized methods and eigenvalue problems. Offers examples: Stokes` problem, elasticity and more.
Описание: Introduction.- 1 Deriving robust unfitted finite element methods from augmented Lagrangian formulations (E. Burman, P. Hansbo).- 2 Cut finite element methods for linear elasticity problems (P. Hansbo, M.G. Larson, K. Larsson).- 3 A higher order isoparametric fictitious domain method for level set domains (C. Lehrenfeld).- 4 An overview of recent results on Nitsches method for contact problems (F. Chouly, M. Fabre, P. Hild, R. Mlika, J. Pousin, Y. Renard).- 5 Inf-sup stable unfitted extended finite element methods with Lagrange multipliers for the Stokes equations (M. Fourniй, A. Lozinski).- 6 Penalty-free Nitsches method for interface problems (T. Boiveau, E. Burman, S. Claus).- 7 Trace Finite Element Methods for PDEs on Surfaces (M. A. Olshanskii, A. Reusken).- 8 A Cut Discontinuous Galerkin Method for Coupled Bulk-Surface Problems (A. Massing).- 9 A space-time cut finite element method for convection-diffusion problems in time dependent domains (S. Zahedi).- 10 Well Conditioned Extended Finite Elements and Vector Level Sets for Three-Dimensional Crack Propagation (S. Bordas, A. Kostas).- 11 Unfitted FEM for modelling the interaction of multiple fractures in a poroelastic medium (B. Giovanardi, L. Formaggia, A. Scotti, P. Zunino).
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