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Author | : Wolfgang Bangerth |
Publisher | : Birkhäuser |
Total Pages | : 216 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 303487605X |
Download Adaptive Finite Element Methods for Differential Equations Book in PDF, ePub and Kindle
These Lecture Notes have been compiled from the material presented by the second author in a lecture series ('Nachdiplomvorlesung') at the Department of Mathematics of the ETH Zurich during the summer term 2002. Concepts of 'self adaptivity' in the numerical solution of differential equations are discussed with emphasis on Galerkin finite element methods. The key issues are a posteriori er ror estimation and automatic mesh adaptation. Besides the traditional approach of energy-norm error control, a new duality-based technique, the Dual Weighted Residual method (or shortly D WR method) for goal-oriented error estimation is discussed in detail. This method aims at economical computation of arbitrary quantities of physical interest by properly adapting the computational mesh. This is typically required in the design cycles of technical applications. For example, the drag coefficient of a body immersed in a viscous flow is computed, then it is minimized by varying certain control parameters, and finally the stability of the resulting flow is investigated by solving an eigenvalue problem. 'Goal-oriented' adaptivity is designed to achieve these tasks with minimal cost. The basics of the DWR method and various of its applications are described in the following survey articles: R. Rannacher [114], Error control in finite element computations. In: Proc. of Summer School Error Control and Adaptivity in Scientific Computing (H. Bulgak and C. Zenger, eds), pp. 247-278. Kluwer Academic Publishers, 1998. M. Braack and R. Rannacher [42], Adaptive finite element methods for low Mach-number flows with chemical reactions.
Author | : Corina Spreiter |
Publisher | : |
Total Pages | : 0 |
Release | : 2022 |
Genre | : |
ISBN | : |
Download Adaptive Finite Element Method for Eigenvalue Problems Book in PDF, ePub and Kindle
Author | : Bhoomaiah Alishetti |
Publisher | : |
Total Pages | : 196 |
Release | : 1990 |
Genre | : |
ISBN | : |
Download Adaptive Finite Element Analysis of Steady-state and Eigenvalue Problems Book in PDF, ePub and Kindle
Author | : Jiguang Sun |
Publisher | : CRC Press |
Total Pages | : 368 |
Release | : 2016-08-19 |
Genre | : Mathematics |
ISBN | : 1482254654 |
Download Finite Element Methods for Eigenvalue Problems Book in PDF, ePub and Kindle
This book covers finite element methods for several typical eigenvalues that arise from science and engineering. Both theory and implementation are covered in depth at the graduate level. The background for typical eigenvalue problems is included along with functional analysis tools, finite element discretization methods, convergence analysis, techniques for matrix evaluation problems, and computer implementation. The book also presents new methods, such as the discontinuous Galerkin method, and new problems, such as the transmission eigenvalue problem.
Author | : |
Publisher | : |
Total Pages | : 38 |
Release | : 2001 |
Genre | : |
ISBN | : |
Download Adaptive Finite Element Methods for Eigenvalue Problems with Applications in Quantum Physics Book in PDF, ePub and Kindle
Author | : Olof Friberg |
Publisher | : |
Total Pages | : 78 |
Release | : 1985 |
Genre | : |
ISBN | : |
Download An Adaptive Procedure for Eigenvalue Problems Using the Hierarchical Finite Element Method Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : |
Release | : 2016 |
Genre | : |
ISBN | : |
Download An Adaptive Finite Element Method with Hybrid Basis for Singularly Perturbed Nonlinear Eigenvalue Problems Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : 181 |
Release | : 2011 |
Genre | : |
ISBN | : |
Download Inexact Adaptive Finite Element Methods for Elliptic PDE Eigenvalue Problems Book in PDF, ePub and Kindle
Author | : Jiguang Sun |
Publisher | : CRC Press |
Total Pages | : 327 |
Release | : 2016-08-19 |
Genre | : Mathematics |
ISBN | : 1315355159 |
Download Finite Element Methods for Eigenvalue Problems Book in PDF, ePub and Kindle
This book covers finite element methods for several typical eigenvalues that arise from science and engineering. Both theory and implementation are covered in depth at the graduate level. The background for typical eigenvalue problems is included along with functional analysis tools, finite element discretization methods, convergence analysis, techniques for matrix evaluation problems, and computer implementation. The book also presents new methods, such as the discontinuous Galerkin method, and new problems, such as the transmission eigenvalue problem.
Author | : Stefano Giani |
Publisher | : |
Total Pages | : 0 |
Release | : 2008 |
Genre | : |
ISBN | : |
Download Convergence of Adaptive Finite Element Methods for Elliptic Eigenvalue Problems with Applications to Photonic Crystals Book in PDF, ePub and Kindle