A Multi-level-algorithm for the Finite-element-solution of General Second Order Elliptic Differential Equations on Adaptive Sparse Grids

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ISBN 13 :
Total Pages : 31 pages
Book Rating : 4.:/5 (351 download)

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Book Synopsis A Multi-level-algorithm for the Finite-element-solution of General Second Order Elliptic Differential Equations on Adaptive Sparse Grids by : Christoph Pflaum

Download or read book A Multi-level-algorithm for the Finite-element-solution of General Second Order Elliptic Differential Equations on Adaptive Sparse Grids written by Christoph Pflaum and published by . This book was released on 1994 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Seventh Copper Mountain Conference on Multigrid Methods

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Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Seventh Copper Mountain Conference on Multigrid Methods by : N. Duane Melson

Download or read book Seventh Copper Mountain Conference on Multigrid Methods written by N. Duane Melson and published by . This book was released on 1996 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Calculus of Variations, Applications and Computations

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Publisher : CRC Press
ISBN 13 : 9780582239623
Total Pages : 300 pages
Book Rating : 4.2/5 (396 download)

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Book Synopsis Calculus of Variations, Applications and Computations by : C Bandle

Download or read book Calculus of Variations, Applications and Computations written by C Bandle and published by CRC Press. This book was released on 1995-04-26 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research presents some important domains of partial differential equations and applied mathematics including calculus of variations, control theory, modelling, numerical analysis and various applications in physics, mechanics and engineering. These topics are now part of many areas of science and have experienced tremendous development during the last decades.

Multigrid Methods V

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Publisher : Springer Science & Business Media
ISBN 13 : 3642587348
Total Pages : 344 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Multigrid Methods V by : Wolfgang Hackbusch

Download or read book Multigrid Methods V written by Wolfgang Hackbusch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection from the papers presented at the Fifth European Multigrid Conference, held in Stuttgart, October 1996. All contributions were carefully refereed. The conference was organized by the Institute for Computer Applications (ICA) of the University of Stuttgart, in cooperation with the GAMM Committee for Scientific Computing, SFB 359 and 404 and the research network WiR Ba-Wü. The list of topics contained lectures on Multigrid Methods: robustness, adaptivity, wavelets, parallelization, application in computational fluid dynamics, porous media flow, optimisation and computational mechanics. A considerable part of the talks focused on algebraic multigrid methods.

NASA Conference Publication

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ISBN 13 :
Total Pages : 450 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis NASA Conference Publication by :

Download or read book NASA Conference Publication written by and published by . This book was released on 1996 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Unified Multilevel Adaptive Finite Element Methods for Elliptic Problems

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ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Unified Multilevel Adaptive Finite Element Methods for Elliptic Problems by : William F. Mitchell

Download or read book Unified Multilevel Adaptive Finite Element Methods for Elliptic Problems written by William F. Mitchell and published by . This book was released on 1988 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 652 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Applied Mechanics Reviews

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ISBN 13 :
Total Pages : 916 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1982 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt:

SIAM Journal on Scientific Computing

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ISBN 13 :
Total Pages : 776 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis SIAM Journal on Scientific Computing by :

Download or read book SIAM Journal on Scientific Computing written by and published by . This book was released on 2001 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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ISBN 13 :
Total Pages : 812 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2000 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Adaptive Algebraic Multigrid for Finite Element Elliptic Equations with Random Coefficients

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ISBN 13 :
Total Pages : 82 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Adaptive Algebraic Multigrid for Finite Element Elliptic Equations with Random Coefficients by :

Download or read book Adaptive Algebraic Multigrid for Finite Element Elliptic Equations with Random Coefficients written by and published by . This book was released on 2012 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents a two-grid algorithm based on Smoothed Aggregation Spectral Element Agglomeration Algebraic Multigrid (SA-?AMGe) combined with adaptation. The aim is to build an efficient solver for the linear systems arising from discretization of second-order elliptic partial differential equations (PDEs) with stochastic coefficients. Examples include PDEs that model subsurface flow with random permeability field. During a Markov Chain Monte Carlo (MCMC) simulation process, that draws PDE coefficient samples from a certain distribution, the PDE coefficients change, hence the resulting linear systems to be solved change. At every such step the system (discretized PDE) needs to be solved and the computed solution used to evaluate some functional(s) of interest that then determine if the coefficient sample is acceptable or not. The MCMC process is hence computationally intensive and requires the solvers used to be efficient and fast. This fact that at every step of MCMC the resulting linear system changes, makes an already existing solver built for the old problem perhaps not as efficient for the problem corresponding to the new sampled coefficient. This motivates the main goal of our study, namely, to adapt an already existing solver to handle the problem (with changed coefficient) with the objective to achieve this goal to be faster and more efficient than building a completely new solver from scratch. Our approach utilizes the local element matrices (for the problem with changed coefficients) to build local problems associated with constructed by the method agglomerated elements (a set of subdomains that cover the given computational domain). We solve a generalized eigenproblem for each set in a subspace spanned by the previous local coarse space (used for the old solver) and a vector, component of the error, that the old solver cannot handle. A portion of the spectrum of these local eigen-problems (corresponding to eigenvalues close to zero) form the coarse basis used to define the new two-level method of our interest. We illustrate the performance of this adaptive two-level procedure with a large set of numerical experiments that demonstrate its efficiency over building the solvers from scratch.

Multi-Gold Algorithms with Applications to Elliptic Boundary-Value Problems

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ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Multi-Gold Algorithms with Applications to Elliptic Boundary-Value Problems by : Craig C. Douglas

Download or read book Multi-Gold Algorithms with Applications to Elliptic Boundary-Value Problems written by Craig C. Douglas and published by . This book was released on 1983 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is primarily concerned with solving the large sparse linear systems which arise in connection with finite-element or finite-difference procedures for solving self-adjoint elliptic boundary-value problems. These problems can be expressed in terms of abstract variational problems on Hilbert spaces. Our (multi-grid) schemes involve a sequence of auxiliary finite-dimensional spaces which do not have to be nested. We approximate the solution using the largest (finite-dimensional) space. These schemes are recursive in nature: they combine smoothing iterations in a space with solving one or more correction problems using smaller spaces. Under certain circumstances, the solution to a problem can be approximated well using smaller spaces. Since the smaller spaces are required to have geometrically fewer unknowns than the largest space, the savings in computation can be substantial. Our general theory is discretization independent and can be applied to problems which do not arise from partial differential equations. As examples, we consider three particular discretizations of variable coefficient self-adjoint second order elliptic boundary-value problems. The first is a finite-element discretization on a convex domain in two dimensions. The second is a finite-difference discretization in one dimension. The last is a finite-difference discretization on the unit square.

Bull. Math. de la Soc. Sci. Math. de Roumanie

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ISBN 13 :
Total Pages : 746 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Bull. Math. de la Soc. Sci. Math. de Roumanie by :

Download or read book Bull. Math. de la Soc. Sci. Math. de Roumanie written by and published by . This book was released on 1991 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algorithms and Data Structures for Adaptive Multigrid Elliptic Solvers

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ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Algorithms and Data Structures for Adaptive Multigrid Elliptic Solvers by : Institute for Computer Applications in Science and Engineering

Download or read book Algorithms and Data Structures for Adaptive Multigrid Elliptic Solvers written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1983 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Adaptive Finite Element Methods for Differential Equations

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Publisher : Birkhäuser
ISBN 13 : 303487605X
Total Pages : 216 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Adaptive Finite Element Methods for Differential Equations by : Wolfgang Bangerth

Download or read book Adaptive Finite Element Methods for Differential Equations written by Wolfgang Bangerth and published by Birkhäuser. This book was released on 2013-11-11 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Bulletin mathématique de la Société des sciences mathématiques de la République socialiste de Roumanie

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ISBN 13 :
Total Pages : 404 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bulletin mathématique de la Société des sciences mathématiques de la République socialiste de Roumanie by : Societatea de Științe Matematice din Republica Socialistă România

Download or read book Bulletin mathématique de la Société des sciences mathématiques de la République socialiste de Roumanie written by Societatea de Științe Matematice din Republica Socialistă România and published by . This book was released on 1992 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Energy Research Abstracts

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ISBN 13 :
Total Pages : 1044 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Energy Research Abstracts by :

Download or read book Energy Research Abstracts written by and published by . This book was released on 1990 with total page 1044 pages. Available in PDF, EPUB and Kindle. Book excerpt: