Discretization Methods and Iterative Solvers Based on Domain Decomposition - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discretization Methods and Iterative Solvers Based on Domain Decomposition write by Barbara I. Wohlmuth. This book was released on 2012-12-06. Discretization Methods and Iterative Solvers Based on Domain Decomposition available in PDF, EPUB and Kindle. Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering. This book deals with discretization techniques on non-matching triangulations and iterative solvers with particular emphasis on mortar finite elements, Schwarz methods and multigrid techniques. New results on non-standard situations as mortar methods based on dual basis functions and vector field discretizations are analyzed and illustrated by numerical results. The role of trace theorems, harmonic extensions, dual norms and weak interface conditions is emphasized. Although the original idea was used successfully more than a hundred years ago, these methods are relatively new for the numerical approximation. The possibilites of high performance computations and the interest in large- scale problems have led to an increased research activity.
Discretization Methods and Iterative Solvers Based on Domain Decomposition
Discretization Methods and Iterative Solvers Based on Domain Decomposition - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discretization Methods and Iterative Solvers Based on Domain Decomposition write by Barbara I. Wohlmuth. This book was released on 2011-05-26. Discretization Methods and Iterative Solvers Based on Domain Decomposition available in PDF, EPUB and Kindle. Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering. This book deals with discretization techniques on non-matching triangulations and iterative solvers with particular emphasis on mortar finite elements, Schwarz methods and multigrid techniques. New results on non-standard situations as mortar methods based on dual basis functions and vector field discretizations are analyzed and illustrated by numerical results. The role of trace theorems, harmonic extensions, dual norms and weak interface conditions is emphasized. Although the original idea was used successfully more than a hundred years ago, these methods are relatively new for the numerical approximation. The possibilites of high performance computations and the interest in large- scale problems have led to an increased research activity.
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Iterative Methods for Sparse Linear Systems write by Yousef Saad. This book was released on 2003-04-01. Iterative Methods for Sparse Linear Systems available in PDF, EPUB and Kindle. Mathematics of Computing -- General.
An Introduction to Domain Decomposition Methods
An Introduction to Domain Decomposition Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Domain Decomposition Methods write by Victorita Dolean. This book was released on 2015-12-08. An Introduction to Domain Decomposition Methods available in PDF, EPUB and Kindle. The purpose of this book is to offer an overview of the most popular domain decomposition methods for partial differential equations (PDEs). These methods are widely used for numerical simulations in solid mechanics, electromagnetism, flow in porous media, etc., on parallel machines from tens to hundreds of thousands of cores. The appealing feature of domain decomposition methods is that, contrary to direct methods, they are naturally parallel. The authors focus on parallel linear solvers. The authors present all popular algorithms, both at the PDE level and at the discrete level in terms of matrices, along with systematic scripts for sequential implementation in a free open-source finite element package as well as some parallel scripts. Also included is a new coarse space construction (two-level method) that adapts to highly heterogeneous problems.?
Fast Boundary Element Methods in Engineering and Industrial Applications
Fast Boundary Element Methods in Engineering and Industrial Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fast Boundary Element Methods in Engineering and Industrial Applications write by Ulrich Langer. This book was released on 2012-02-02. Fast Boundary Element Methods in Engineering and Industrial Applications available in PDF, EPUB and Kindle. This volume contains eight state of the art contributions on mathematical aspects and applications of fast boundary element methods in engineering and industry. This covers the analysis and numerics of boundary integral equations by using differential forms, preconditioning of hp boundary element methods, the application of fast boundary element methods for solving challenging problems in magnetostatics, the simulation of micro electro mechanical systems, and for contact problems in solid mechanics. Other contributions are on recent results on boundary element methods for the solution of transient problems. This book is addressed to researchers, graduate students and practitioners working on and using boundary element methods. All contributions also show the great achievements of interdisciplinary research between mathematicians and engineers, with direct applications in engineering and industry.
