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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
A Posteriori Error Estimation for Hybridized Mixed and Discontinuous Galerkin Methods

A Posteriori Error Estimation for Hybridized Mixed and Discontinuous Galerkin Methods

Neher, Johannes

Paperback

Series: Augsburger Schriften Zur Mathematik, Physik Und Informatik, Book 19

General Mathematics

Currently unavailable to order

ISBN10: 3832530886
ISBN13: 9783832530884
Publisher: Logos Verlag Berlin
Published: Mar 15 2012
Pages: 105
Weight: 0.35
Height: 0.31 Width: 5.61 Depth: 7.91
Language: English
There is a variety of finite element based methods applicable to the discretization of second order elliptic boundary value problems in mixed form. However, it is expensive to solve the resulting discrete linear system due to its size and its algebraic structure. Hybridization serves as a tool to circumvent these difficulties. Furthermore hybridization is an elegant concept to establish connections among various finite element methods. In this work connections between the methods and their hybridized counterparts are established after showing the link between three different formulations of the elliptic model problem. The main part of the work contains the development of a reliable a posteriori error estimator, which is applicable to all of the methods above. This estimator is the key ingredient of an adaptive numerical approximation of the original boundary value problem. Finally, a number of numerical tests is discussed in order to exhibit the performance of the adaptive hybridized methods.

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