TY - RPRT
A1 - Savenkov, E.
A1 - Andrä, H.
A1 - Iliev, O.
T1 - An analysis of one regularization approach for solution of pure Neumann problem
N2 - In this paper, the analysis of one approach for the regularization of pure Neumann problems for second order elliptical equations, e.g., Poisson’s equation and linear elasticity equations, is presented. The main topic under consideration is the behavior of the condition number of the regularized problem. A general framework for the analysis is presented. This allows to determine a form of regularization term which leads to the “natural” asymptotic of the condition number of the regularized problem with respect to mesh parameter. Some numerical results, which support theoretical analysis are presented as well. The main motivation for the presented research is to develop theoretical background for an efficient and robust implementation of the solver for pure Neumann problems for the linear elasticity equations. Such solvers usually are needed in a number of domain decomposition methods, e.g. FETI. Developed approaches are planed to be used in software, developing in ITWM, e.g. KneeMech simulation software.
T3 - Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) - 137
KW - Neumann problem
KW - asymptotic
KW - linear elasticity equations
KW - FETI
Y1 - 2008
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1992
UR - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-15597
ER -