On the implementation of mixed methods as nonconforming methods for second-order elliptic problems
Mathematics of Computation
Domain decomposition algorithms for mixed methods for second-order elliptic problems
Mathematics of Computation
On a MIC(0) preconditioning of non-conforming mixed FEM elliptic problems
Mathematics and Computers in Simulation
Computers & Mathematics with Applications
Parallel incomplete factorization of 3D NC FEM elliptic systems
NMA'06 Proceedings of the 6th international conference on Numerical methods and applications
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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 system. A special attention is given to the implementation of the method as a scalable parallel algorithm.