We study the multi-level method for preconditioning a linear system arising from a Galerkin discretization method of an elliptic boundary value problem of order 2r. The solution is approximated in the spline space S 0 1 (4 n) when r =
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863
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The Finite Element Methods for Elliptic Problems
– Ciarlet
- 1978
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200
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On the multilevel splitting of finite element spaces
– YSERENTANT
- 1986
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105
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Multivariate splines
– Hollig
- 1986
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63
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new convergence proofs for multigrid methods
– Yserentant
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57
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Triangular Bernstein-Bezier patches
– Farin
- 1986
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48
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A basic norm equivalence for the theory of multilevel methods
– Bornemann, Yserentant
- 1993
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45
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Two preconditioners based on the multi-level splitting of finite element spaces
– Yserentant
- 1990
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35
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On Lattices Admitting Unique Lagrange Interpolations
– Chung, Yao
- 1977
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32
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Estimation of linear functionals on Sobolev spaces with applications to Fourier transforms and spline interpolation
– Bramble, Hilbert
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20
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Scattered data interpolation and approximation using bivariate C1 piecewise cubic polynomials. Computer Aided Geometric Design
– Lai
- 1996
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16
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On bivariate super vertex splines
– Chui, Lai
- 1990
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16
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C -hierarchical bases
– Dahmen, Oswald, et al.
- 1994
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15
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On the approximation order from certain multivariate spline spaces
– Dahmen, Micchelli
- 1984
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15
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Super spline spaces of smoothness r and degree d 3r +2. Constructive Approximation 7
– Ibrahim, Schumaker
- 1991
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15
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Hierarchical conforming finite element methods for the biharmonic equation
– Oswald
- 1992
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14
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Scattered data interpolation using C piecewise polynomials of degree six
– Lai, Schumaker
- 1997
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13
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Vandermonde determinant and Lagrange interpolation
– Chui, Lai
- 1987
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11
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Dual bases for spline spaces on cells
– Schumaker
- 1988
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8
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B-form basics, in Geometric Modeling
– Boor
- 1987
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7
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Multivariate vertex splines and finite elements
– Chui, Lai
- 1990
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6
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Scattered data interpolation using C supersplines of degree six
– Lai, Schumaker
- 1997
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5
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On dual functionals of polynomials in
– Lai
- 1991
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3
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The dimension of spline spaces of smoothness r for d 4r + 1, Construct
– Alfeld, Schumaker
- 1987
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2
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Spaces of bivariate spline spaces over arbitrary triangulation, Approx
– Hong
- 1991
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1
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Parallel multilevel preconditioning
– Bramble, Pasciak, et al.
- 1990
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1
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On the optimal approximation rates for crisscross finite element spaces
– Dahmen, Micchelli
- 1984
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1
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Approximation order of certain spline spaces, submitted
– Lai
- 1994
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1
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Construction of bivariate spline quasiinterpolants based on function values, in preparation
– Lai, Schumaker
- 1995
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