Abstract
In this paper we consider an iterative substructuring method for solving system of equations arising from mortar Morley finite element discretization of a model fourth order elliptic problem in 2D. A parallel preconditioner for the interface problem is introduced using Additive Schwarz Method framework. The method is quasi-optimal i.e. the number of CG iterations for the preconditioned problem grows polylogarithmically as the sizes of the meshes decrease and it is independent of the jumps of the coefficients.
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Marcinkowski, L. (2007). An Iterative Substructuring Method for Mortar Nonconforming Discretization of a Fourth-Order Elliptic Problem in Two Dimensions. In: Widlund, O.B., Keyes, D.E. (eds) Domain Decomposition Methods in Science and Engineering XVI. Lecture Notes in Computational Science and Engineering, vol 55. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34469-8_85
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DOI: https://doi.org/10.1007/978-3-540-34469-8_85
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-34468-1
Online ISBN: 978-3-540-34469-8
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