Error Control and Adaptivity in Scientific Computing - 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 Error Control and Adaptivity in Scientific Computing write by Haydar Bulgak. This book was released on 2012-12-06. Error Control and Adaptivity in Scientific Computing available in PDF, EPUB and Kindle. One of the main ways by which we can understand complex processes is to create computerised numerical simulation models of them. Modern simulation tools are not used only by experts, however, and reliability has therefore become an important issue, meaning that it is not sufficient for a simulation package merely to print out some numbers, claiming them to be the desired results. An estimate of the associated error is also needed. The errors may derive from many sources: errors in the model, errors in discretization, rounding errors, etc. Unfortunately, this situation does not obtain for current packages and there is a great deal of room for improvement. Only if the error can be estimated is it possible to do something to reduce it. The contributions in this book cover many aspects of the subject, the main topics being error estimates and error control in numerical linear algebra algorithms (closely related to the concept of condition numbers), interval arithmetic and adaptivity for continuous models.
Error-controlled Adaptive Finite Elements in Solid Mechanics
Error-controlled Adaptive Finite Elements in Solid Mechanics - 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 Error-controlled Adaptive Finite Elements in Solid Mechanics write by Ekkehard Ramm. This book was released on 2003-08-01. Error-controlled Adaptive Finite Elements in Solid Mechanics available in PDF, EPUB and Kindle. Finite Element Methods are used for numerous engineering applications where numerical solutions of partial differential equations are needed. As computers can now deal with the millions of parameters used in these methods, automatic error estimation and automatic adaptation of the utilised method (according to this error estimation), has become a hot research topic. This text offers comprehensive coverage of this new field of automatic adaptation and error estimation, bringing together the work of eight outstanding researchers in this field who have completed a six year national research project within the German Science Foundation. The result is a state-of-the-art work in true reference style. Each chapter is self-contained and covers theoretical, algorithmic and software presentations as well as solved problems. A main feature consists of several carefully elaborated benchmarks of 2D- and 3D- applications. * First book to go beyond the Finite Element Method in itself * Covers material from a new research area * Presents benchmarks of 2D- and 3D- applications * Fits with the new trend for genetic strategies in engineering
New Challenges in Grid Generation and Adaptivity for Scientific Computing
New Challenges in Grid Generation and Adaptivity for Scientific Computing - 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 New Challenges in Grid Generation and Adaptivity for Scientific Computing write by Simona Perotto. This book was released on 2015-04-27. New Challenges in Grid Generation and Adaptivity for Scientific Computing available in PDF, EPUB and Kindle. This volume collects selected contributions from the “Fourth Tetrahedron Workshop on Grid Generation for Numerical Computations”, which was held in Verbania, Italy in July 2013. The previous editions of this Workshop were hosted by the Weierstrass Institute in Berlin (2005), by INRIA Rocquencourt in Paris (2007), and by Swansea University (2010). This book covers different, though related, aspects of the field: the generation of quality grids for complex three-dimensional geometries; parallel mesh generation algorithms; mesh adaptation, including both theoretical and implementation aspects; grid generation and adaptation on surfaces – all with an interesting mix of numerical analysis, computer science and strongly application-oriented problems.
Error Control, Adaptive Discretizations, and Applications, Part 1
Error Control, Adaptive Discretizations, and Applications, Part 1 - 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 Error Control, Adaptive Discretizations, and Applications, Part 1 write by . This book was released on 2024-06-29. Error Control, Adaptive Discretizations, and Applications, Part 1 available in PDF, EPUB and Kindle. Error Control, Adaptive Discretizations, and Applications, Volume 58, Part One highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this release cover hp adaptive Discontinuous Galerkin strategies driven by a posteriori error estimation with application to aeronautical flow problems, An anisotropic mesh adaptation method based on gradient recovery and optimal shape elements, and Model reduction techniques for parametrized nonlinear partial differential equations. - Covers multi-scale modeling - Includes updates on data-driven modeling - Presents the latest information on large deformations of multi-scale materials
Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory
Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory - 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 Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory write by Peter Benner. This book was released on 2015-05-09. Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory available in PDF, EPUB and Kindle. This edited volume highlights the scientific contributions of Volker Mehrmann, a leading expert in the area of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory. These mathematical research areas are strongly related and often occur in the same real-world applications. The main areas where such applications emerge are computational engineering and sciences, but increasingly also social sciences and economics. This book also reflects some of Volker Mehrmann's major career stages. Starting out working in the areas of numerical linear algebra (his first full professorship at TU Chemnitz was in "Numerical Algebra," hence the title of the book) and matrix theory, Volker Mehrmann has made significant contributions to these areas ever since. The highlights of these are discussed in Parts I and II of the present book. Often the development of new algorithms in numerical linear algebra is motivated by problems in system and control theory. These and his later major work on differential-algebraic equations, to which he together with Peter Kunkel made many groundbreaking contributions, are the topic of the chapters in Part III. Besides providing a scientific discussion of Volker Mehrmann's work and its impact on the development of several areas of applied mathematics, the individual chapters stand on their own as reference works for selected topics in the fields of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory.
