KORNHUBER, RALF and PODLESNY, JOSCHA and YSERENTANT, HARRY (2020) NUMERICAL HOMOGENIZATION OF FRACTAL INTERFACE PROBLEMS. arXive . pp. 130. (Submitted)

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Official URL: https://arxiv.org/abs/2007.11479
Abstract
We consider the numerical homogenization of a class of fractal elliptic interface problems inspired by related mechanical contact problems from the geosciences. A particular feature is that the solution space depends on the actual fractal geometry. Our main results concern the construction of projection operators with suitable stability and approximation properties. The existence of such projections then allows for the application of existing concepts from localized orthogonal decomposition (LOD) and successive subspace correction to construct first multiscale discretizations and iterative algebraic solvers with scaleindependent convergence behavior for this class of problems.
Item Type:  Article 

Subjects:  Mathematical and Computer Sciences > Mathematics > Applied Mathematics 
Divisions:  Department of Mathematics and Computer Science > Institute of Mathematics 
ID Code:  2486 
Deposited By:  Monika Drueck 
Deposited On:  16 Feb 2021 14:16 
Last Modified:  17 Feb 2021 06:41 
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