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Iterative technologies for stiff problems with jumping anisotropic diffusion tensors
Yuri Vassilevski, Sergei Goreinov, Vadim Chugunov
Postal address: Institute of Numerical Mathematics, Russian Academy of Science, 8, Gubkina str., 119991, Moscow, Russia
Finite element discretizations of the diffusion equation produce large and stiff systems with sparse matrices. Spectral properties
of the matrices deteriorate with the mesh refinement. The degradation is even stronger in the case of jumping and anisotropic diffusion tensors.
Several techniques for the iterative solution of the above systems are reviewed. Numerical comparisons for a 3-D model problem are presented.