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Title: Weak Approximation Properties of Elliptic Projections with Functional Constraints

Journal Article · · Multiscale Modeling & Simulation
DOI:https://doi.org/10.1137/110821639· OSTI ID:1226966
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Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC52-07NA27344
OSTI ID:
1226966
Report Number(s):
LLNL-JRNL-468811
Journal Information:
Multiscale Modeling & Simulation, Vol. 9, Issue 4; ISSN 1540-3459
Publisher:
SIAM
Country of Publication:
United States
Language:
English

References (21)

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Domain decomposition algorithms journal January 1994
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A new multiscale finite element method for high-contrast elliptic interface problems journal May 2010
An Overlapping Schwarz Algorithm for Almost Incompressible Elasticity journal January 2009
Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions journal January 1996
Domain Decomposition Preconditioners for Multiscale Flows in High-Contrast Media journal January 2010
Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces journal January 2010
Domain decomposition for multiscale PDEs journal April 2007
H(curl) auxiliary mesh preconditioning
  • Kolev, Tzanio V.; Pasciak, Joseph E.; Vassilevski, Panayot S.
  • Numerical Linear Algebra with Applications, Vol. 15, Issue 5 https://doi.org/10.1002/nla.534
journal January 2008
An optimal Poincaré inequality for convex domains journal January 1960
Nonstandard coarse spaces and Schwarz methods for elliptic problems with discontinuous coefficients using non-conforming elements journal September 1997
Additive Schwarz with aggregation-based coarsening for elliptic problems with highly variable coefficients journal July 2007
Energy-minimizing coarse spaces for two-level Schwarz methods for multiscale PDEs journal October 2009
General Constrained Energy Minimization Interpolation Mappings for AMG journal January 2010
Uniform Convergent Multigrid Methods for Elliptic Problems with Strongly Discontinuous Coefficients journal January 2008
On an energy minimizing basis for algebraic multigrid methods journal October 2004
Domain decomposition preconditioners for elliptic equations with jump coefficients journal January 2008

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