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Download or read book Convergence of Adaptive Finite Element Methods written by and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Florin Adrian Radu
Publisher : Springer
ISBN 13 : 3319964151
Total Pages : 1070 pages
Book Rating : 4.3/5 (199 download)
Download or read book Numerical Mathematics and Advanced Applications ENUMATH 2017 written by Florin Adrian Radu and published by Springer. This book was released on 2019-01-05 with total page 1070 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects many of the presented papers, as plenary presentations, mini-symposia invited presentations, or contributed talks, from the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) 2017. The conference was organized by the University of Bergen, Norway from September 25 to 29, 2017. Leading experts in the field presented the latest results and ideas in the designing, implementation, and analysis of numerical algorithms as well as their applications to relevant, societal problems. ENUMATH is a series of conferences held every two years to provide a forum for discussing basic aspects and new trends in numerical mathematics and scientific and industrial applications. These discussions are upheld at the highest level of international expertise. The first ENUMATH conference was held in Paris in 1995 with successive conferences being held at various locations across Europe, including Heidelberg (1997), Jyvaskyla (1999), lschia Porto (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011), Lausanne (2013), and Ankara (2015).
Author : Carsten Carstensen
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)
Download or read book Convergence of Adaptive Finite Element Methods for a Nonconvex Double-well Minimisation Problem written by Carsten Carstensen and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ronald DeVore
Publisher : Springer
ISBN 13 : 9783642424571
Total Pages : 0 pages
Book Rating : 4.4/5 (245 download)
Download or read book Multiscale, Nonlinear and Adaptive Approximation written by Ronald DeVore and published by Springer. This book was released on 2014-12-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: . . . . . . . . . . . . . . . . . . . 7 7 Hyperbolic partial differential equations and conservation laws . . . 8 8 Engineering collaborations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 9 Thepresent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 10 Finalremarks. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Publications by Wolfgang Dahmen (as of summer 2009). . . . . . . . . . . . . . . 10 The way things were in multivariate splines: A personal view. . . . . . . . . . . 19 Carl de Boor 1 Tensor product spline interpolation. . . . . . . . . . . . . . . . . . . . . . . . . . . 19 2 Quasiinterpolation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3 MultivariateB-splines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 4 Kergininterpolation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Author : Christian Kreuzer
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (118 download)
Download or read book Convergence of Adaptive Finite Element Methods with Error-dominated Oscillation written by Christian Kreuzer and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Binev
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (764 download)
Download or read book Adaptive Finite Element Methods with Convergence Rates written by Peter Binev and published by . This book was released on 2002 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sara Pollock
Publisher :
ISBN 13 : 9781267366054
Total Pages : 123 pages
Book Rating : 4.3/5 (66 download)
Download or read book Convergence of Goal-oriented Adaptive Finite Element Methods written by Sara Pollock and published by . This book was released on 2012 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis we discuss convergence theory for goal-oriented adaptive finite element methods for second order elliptic problems. We develop results for both linear nonsymmetric and semilinear problems. We start with a brief description of the finite element method applied to these problems and some basic error estimates. We then provide a detailed error analysis of the method as described for each problem. In each case, we establish convergence in the sense of the quantity of interest with a goal-oriented variation of the standard adaptive finite element method using residual-based indicators. In the linear case we establish the adjoint as the appropriate differential operator for the dual problem. We establish contraction of the quasi-error for each of the primal and dual problems yielding convergence in the quantity of interest. We follow these results with a complexity analysis of the method. In the semilinear case we introduce three types of linearized dual problems used to establish our results. We give a brief summary of a priori estimates for this class of problems. After establishing contraction results for the primal problem, we then provide additional estimates to show contraction of the combined primal and dual system, yielding convergence of the goal function. We support these results with some numerical experiments. Finally, we include an appendix outlining some common methods used in a posteriori error estimation and briefly describe iterative methods for solving nonlinear problems.
Author : Stefano Giani
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (134 download)
Download or read book Convergence of Adaptive Finite Element Methods for Elliptic Eigenvalue Problems with Applications to Photonic Crystals written by Stefano Giani and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hella Rabus
Publisher :
ISBN 13 :
Total Pages : 229 pages
Book Rating : 4.:/5 (9 download)
Download or read book On the Quasi-optimal Convergence of Adaptive Nonconforming Finite Element Methods in Three Examples written by Hella Rabus and published by . This book was released on 2014 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thanatyod Jampawai
Publisher :
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.:/5 (14 download)
Download or read book Convergence of Adaptive Finite Element Methods for Semi-Linear Elliptic Partial Differential Equations written by Thanatyod Jampawai and published by . This book was released on 2014 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: We analyze a standard adaptive finite element method (AFEM) for second order semi-linear elliptic partial differential equations with vanishing boundary over a polygonal domain in R^{2}. We prove a contraction property for the weighted sum of the energy error and the error estimator between any two consecutive loops, which implies the convergence of AFEM. The result is obtained based on the assumptions that the initial triangulation is sufficiently refined and a Lipschitz constant is sufficiently small in order to deal with the nonlinear inhomogeneous term f(x, u(x)), which is also assumed to be Lipschitz in the second variable.
Author : Ekkehard Ramm
Publisher : John Wiley & Sons
ISBN 13 : 0470857978
Total Pages : 422 pages
Book Rating : 4.4/5 (78 download)
Download or read book Error-controlled Adaptive Finite Elements in Solid Mechanics written by Ekkehard Ramm and published by John Wiley & Sons. This book was released on 2003-08-01 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Dietrich Braess
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (93 download)
Download or read book Convergence Analysis of a Conforming Adaptive Finite Element Method for an Obstacle Problem written by Dietrich Braess and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Carsten Carstensen
Publisher :
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (181 download)
Download or read book Error Reduction and Convergence for an Adaptive Mixed Finite Element Method written by Carsten Carstensen and published by . This book was released on 2005 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ekkehard Ramm
Publisher : John Wiley & Sons
ISBN 13 : 0471496502
Total Pages : 436 pages
Book Rating : 4.4/5 (714 download)
Download or read book Error-controlled Adaptive Finite Elements in Solid Mechanics written by Ekkehard Ramm and published by John Wiley & Sons. This book was released on 2002-12-30 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Lars Diening
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (93 download)
Download or read book Linear Convergence of an Adaptive Finite Element Method for the P-Laplacian Equation written by Lars Diening and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michel Krizek
Publisher : Routledge
ISBN 13 : 1351448617
Total Pages : 368 pages
Book Rating : 4.3/5 (514 download)
Download or read book Finite Element Methods written by Michel Krizek and published by Routledge. This book was released on 2017-11-22 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: ""Based on the proceedings of the first conference on superconvergence held recently at the University of Jyvaskyla, Finland. Presents reviewed papers focusing on superconvergence phenomena in the finite element method. Surveys for the first time all known superconvergence techniques, including their proofs.
Author : Christian A. Möller
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832528156
Total Pages : 259 pages
Book Rating : 4.8/5 (325 download)
Download or read book Adaptive Finite Elements in the Discretization of Parabolic Problems written by Christian A. Möller and published by Logos Verlag Berlin GmbH. This book was released on 2011 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adaptivity is a crucial tool in state-of-the-art scientific computing. However, its theoretical foundations are only understood partially and are subject of current research. This self-contained work provides theoretical basics on partial differential equations and finite element discretizations before focusing on adaptive finite element methods for time dependent problems. In this context, aspects of temporal adaptivity and error control are considered in particular. Based on the gained insights, a specific adaptive algorithm is designed and analyzed thoroughly. Most importantly, it is proven that the presented adaptive method terminates within any demanded error tolerance. Moreover, the developed algorithm is analyzed from a numerical point of view and its performance is compared to well-known standard methods. Finally, it is applied to the real-life problem of concrete carbonation, where two different discretizations are compared.
