May 29, 2008 by Constantin Bacuta
Notes on the Schwartz Alternating Method for Partition of Unity FEM, with Jiguang Sun, submitted.
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Schur Complements on Hilbert Spaces and Saddle Point Systems, submitted.
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Subspace interpolation with applications to elliptic regularity, Numerical Functional Analysis and Optimization, Volume 29, Issue 1&2, 2008, pp 88 - 114.
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Improving the rate of convergence of
`high order finite elements' on polyhedra II: Mesh Refinements and Interpolation, with V.~Nistor and L.~Zikatanov, Numerical Functional Analysis and Optimization, Vol. 28, No 7-8, 2007, pp. 775-824.
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A Unified Approach for Uzawa Algorithms, SIAM Journal of Numerical Analysis, Volume 44, Issue 6, 2006, pp. 2633-2649
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Partition of Unity Finite Element Method Implementation for Poisson Equation, with J. Sun, Advances in Applied and Computational Mathematics, Nova Publishers, 2006, pp. 35-46
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Improving the rate of convergence of
`high order finite elements' on polyhedra I: apriori estimates, with V.~Nistor and L.~Zikatanov, Numerical Functional Analysis and Optimization, Vol. 26, No 6, 2005, pp. 613-639.
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Improving the rate of convergence of
`high order finite elements' on polygons and domains with cusps, with V. Nistor and L. Zikatanov, Numerische Mathematik, Vol. 100, No 2, 2005, pp. 165 -184
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Partition of unity method on non-matching grids for the Stokes problem, with J.~Chen, Y.~Huang, J.~Xu and L.T.~Zikatanov, Journal of Numerical Mathematics, Vol.13, No.3, 2005, pp.157-169.
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Regularity estimates for elliptic boundary value problems in Besov spaces, with J. H. Bramble and Jinchao Xu, Mathematics of Computation, 72 (2003), 1577-1595.
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Regularity estimates for elliptic boundary
value problems with smooth data on polygonal domains, with J. H. Bramble and
Jinchao Xu, Jornal of Numerical Mathematics,
Vol.11, No.2, 2003, pp.75-177.
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Regularity estimates for solutions of the equations of linear elasticity in convex plane polygonal domains with J. H. Bramble, Z. angew. Math. Phys.(ZAMP), 54(2003), 874-878.
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Using finite element tools in proving shift theorems for elliptic boundary
value problems, with J.H. Bramble, and J.E. Pasciak, Numerical Linear Algebra with Application, Volume 10, Issue no 1-2, 33-64, 2003.
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New Interpolation Results and Applications to Finite Element Methods for
Elliptic Boundary Value Problems, with J. H. Bramble and J. Pasciak. East-West J. Numer. Math. Vol.9, No.3, 2001, pp. 1-20.
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Shift theorems for the biharmonic Dirichlet problem, with J. H. Bramble and J. Pasciak, Recent Progress in Computational and Applied PDEs by Kluwer Academic/Plenum Publishers, volume of proceedings for the CAPDE conference held in Zhangjiajie, China, July 2001.
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Boundary value problems and regularity on polyhedral domains, with V.~Nistor and L.~Zikatanov, IMA Preprint Series # 1984, August 20, 2004.
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Regularity and well posedness for the Laplace operator on polyhedral domains, with V.~Nistor and L.~Zikatanov, Cornell University Library, arXiv.org database, October 7, 2004.
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Partition of Unity Method for Stokes Problem on Nonmatching Grids, with Jinchao Xu, Proceedings of the 2003 Copper Mountain Conference on Multigrid Methods.
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Lipschitz behavior in locally convex spaces, Scientific Studies and Researches
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