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Multigrid for refined triangle meshes

Technical Report ·
DOI:https://doi.org/10.2172/431152· OSTI ID:431152
A two-level preconditioning method for the solution of (locally) refined finite element schemes using triangle meshes is introduced. In the isotropic SPD case, it is shown that the condition number of the preconditioned stiffness matrix is bounded uniformly for all sufficiently regular triangulations. This is also verified numerically for an isotropic diffusion problem with highly discontinuous coefficients.
Research Organization:
Los Alamos National Lab., NM (United States)
Sponsoring Organization:
USDOE Assistant Secretary for Human Resources and Administration, Washington, DC (United States)
DOE Contract Number:
W-7405-ENG-36
OSTI ID:
431152
Report Number(s):
LA-UR--96-3704; ON: DE97002962
Country of Publication:
United States
Language:
English

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