TY - JOUR
T1 - A two-level method for mimetic finite difference discretizations of elliptic problems
AU - Antonietti, Paola F.
AU - Verani, Marco
AU - Zikatanov, Ludmil
N1 - Publisher Copyright:
© 2015 Elsevier Ltd. All rights reserved.
PY - 2015/12
Y1 - 2015/12
N2 - We propose and analyze a two-level method for mimetic finite difference approximations of second order elliptic boundary value problems. We prove that the two-level algorithm is uniformly convergent, i.e., the number of iterations needed to achieve convergence is uniformly bounded independently of the characteristic size of the underlying partition. We also show that the resulting scheme provides a uniform preconditioner with respect to the number of degrees of freedom. Numerical results that validate the theory are also presented.
AB - We propose and analyze a two-level method for mimetic finite difference approximations of second order elliptic boundary value problems. We prove that the two-level algorithm is uniformly convergent, i.e., the number of iterations needed to achieve convergence is uniformly bounded independently of the characteristic size of the underlying partition. We also show that the resulting scheme provides a uniform preconditioner with respect to the number of degrees of freedom. Numerical results that validate the theory are also presented.
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U2 - 10.1016/j.camwa.2015.06.010
DO - 10.1016/j.camwa.2015.06.010
M3 - Article
AN - SCOPUS:84947869249
SN - 0898-1221
VL - 70
SP - 2674
EP - 2687
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 11
ER -