Proper Orthogonal Decomposition Methods for Partial Differential Equations, Luo, Zhendong
Автор: Axel Malqvist, Daniel Peterseim Название: Numerical Homogenization by Localized Orthogonal Decomposition ISBN: 1611976448 ISBN-13(EAN): 9781611976441 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 6145.00 р. Наличие на складе: Нет в наличии.
Описание: This book presents the first survey of the Localized Orthogonal Decomposition (LOD) method, a pioneering approach for the numerical homogenization of partial differential equations with multiscale data beyond periodicity and scale separation. The authors provide a careful error analysis, including previously unpublished results, and a complete implementation of the method in MATLAB. They also reveal how the LOD method relates to classical homogenization and domain decomposition. Illustrated with numerical experiments that demonstrate the significance of the method, the book is enhanced by a survey of applications including eigenvalue problems and evolution problems.Numerical Homogenization by Localized Orthogonal Decomposition is appropriate for graduate students in applied mathematics, numerical analysis, and scientific computing. Researchers in the field of computational partial differential equations will find this self-contained book of interest, as will applied scientists and engineers interested in multiscale simulation.
Описание: While domain decomposition methods have a long history dating back well over one hundred years, it is only during the last decade that they have become a major tool in numerical analysis of partial differential equations.
Автор: Jocelyne Erhel; Martin J. Gander; Laurence Halpern Название: Domain Decomposition Methods in Science and Engineering XXI ISBN: 331905788X ISBN-13(EAN): 9783319057880 Издательство: Springer Рейтинг: Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume contains a selection of papers presented at the 21st international conference on domain decomposition methods in science and engineering held in Rennes, France, June 25-29, 2012.
T. Akman et al: Space-Time Discontinuous Galerkin Methods for Optimal Control Problems Governed by Time Dependent Diffusion-Convection-Reaction Equations.- Th. Carraro et al: Direct and Indirect Multiple Shooting for Parabolic Optimal Control Problems.- M.J. Gander: 50 Years of Time Parallel Time Integration.- S. Grцtschel et al: Reducing Memory Requirements in Scientific Computing and Optimal Control.- Y. Hasegawa: Optimal Control of Heat and Fluid Flow for Efficient Energy Utilization.- D. Janka et al: Direct Multiple Shooting for Optimum Experimental Design.- D. Kaschek et al: A Unified Approach to Integration and Optimization of Parametric Ordinary Differential Equations.- R. Kircheis et al: Parameter Estimation for PDAE Constrained Models Using a Reduced Approach.- M. Klinger: A Variational Approach for Physically Based Image Interpolation Across Boundaries.- C. Kreutz et al: Statistics for Model Calibration.- A. Potschka: Direct Multiple Shooting for Parabolic PDE Constrained Optimization.- R. Quirynen et al: Multiple Shooting in a Microsecond.- Th. Richter et al: Time Discretizations of Fluid-Structure Interactions.- St. Ulbrich: Preconditioners Based on 'Parareal' Time-Domain Decomposition for Time-Dependent PDE-Constrained Optimization.- E. Kostina et al: Direct Multiple Shooting for Optimization Problems in ODE Models.- M. Schlick: Parareal Time-Stepping for Limit-Cycle Computation of the Incompressible Navier-Stokes Equations with Uncertain Periodic Dynamics.
Автор: Ulrich Langer; Marco Discacciati; David E. Keyes; Название: Domain Decomposition Methods in Science and Engineering XVII ISBN: 354075198X ISBN-13(EAN): 9783540751984 Издательство: Springer Рейтинг: Цена: 25853.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Domain decomposition is an active, interdisciplinary research field concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models.
Автор: Jocelyne Erhel; Martin J. Gander; Laurence Halpern Название: Domain Decomposition Methods in Science and Engineering XXI ISBN: 3319355481 ISBN-13(EAN): 9783319355481 Издательство: Springer Рейтинг: Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume contains a selection of papers presented at the 21st international conference on domain decomposition methods in science and engineering held in Rennes, France, June 25-29, 2012.
Описание: A matrix oriented introduction to domain decomposition methodology. It discusses topics including hybrid formulations, Schwarz, substructuring and Lagrange multiplier methods for elliptic equations, computational issues, least squares-control methods, multilevel methods, non-self adjoint problems, parabolic equations and saddle point applications.
Domain decomposition (DD) methods provide powerful tools for constructing parallel numerical solution algorithms for large scale systems of algebraic equations arising from the discretization of partial differential equations. These methods are well-established and belong to a fast developing area. In this volume, the reader will find a brief historical overview, the basic results of the general theory of domain and space decomposition methods as well as the description and analysis of practical DD algorithms for parallel computing. It is typical to find in this volume that most of the presented DD solvers belong to the family of fast algorithms, where each component is efficient with respect to the arithmetical work. Readers will discover new analysis results for both the well-known basic DD solvers and some DD methods recently devised by the authors, e.g., for elliptic problems with varying chaotically piecewise constant orthotropism without restrictions on the finite aspect ratios.
The hp finite element discretizations, in particular, by spectral elements of elliptic equations are given significant attention in current research and applications. This volume is the first to feature all components of Dirichlet-Dirichlet-type DD solvers for hp discretizations devised as numerical procedures which result in DD solvers that are almost optimal with respect to the computational work. The most important DD solvers are presented in the matrix/vector form algorithms that are convenient for practical use.
Автор: Bank Randolph Название: Domain Decomposition Methods in Science and Engineering XX ISBN: 364235274X ISBN-13(EAN): 9783642352744 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Domain decomposition methods are iterative methods for solving the often very large linearor nonlinear systems of algebraic equations that arise when various problems in continuum mechanics are discretized using finite elements.
Автор: Yunqing Huang; Ralf Kornhuber; Olof Widlund; Jinch Название: Domain Decomposition Methods in Science and Engineering XIX ISBN: 3642265693 ISBN-13(EAN): 9783642265693 Издательство: Springer Рейтинг: Цена: 24456.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These are the proceedings of the 19th international conference on domain decomposition methods in science and engineering.
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