MIC(0) preconditioning of 3D FEM problems on unstructured grids: Conforming and non-conforming elements
نویسندگان
چکیده
منابع مشابه
MIC(0) Preconditioning of Conforming and Non-conforming FEM Problems on Unstructured Grids⋆
In this study, the topics of grid generation and FEM applications are studied together following their natural synergy. We consider the following three grid generators: Triangle, NETGEN and Gmsh. The quantitative analysis is based on the number of elements/nodes needed to obtain a triangulation of a given domain, satisfying a certain minimal angle condition. After that, the performance of the M...
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Preconditioners based on various multilevel extensions of two-level finite element methods (FEM) lead to iterative methods which often have an optimal order computational complexity with respect to the number of degrees of freedom of the system. Such methods were first presented in [6, 7], and are based on (recursive) two-level splittings of the finite element space. The key role in the derivat...
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In this paper we analyze a preconditioner for mixed finite element systems arising in the approximation of a second order lliptic problem with Neumann boundary conditions by triangular non-conforming elements. This problem stems from the so called rojection methods for the unsteady Navier–Stokes equations and is one of the most computationally intensive parts of the method. he present study is ...
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In this paper we analyze a two-level preconditioner for finite element systems arising in approximations of second order elliptic boundary value problems by Crouzeix-Raviart non-conforming triangular linear elements. This study is focused on the efficient implementation of the modified incomplete LU factorization MIC(0) as a preconditioner in the PCG iterative method for the linear algebraic sy...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2009
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.08.033