On multi-level bases for elliptic boundary value problems
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Publication:1919943
DOI10.1016/0377-0427(95)00214-6zbMath0862.65063OpenAlexW2073570719MaRDI QIDQ1919943
Publication date: 25 May 1997
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0377-0427(95)00214-6
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for higher-order elliptic equations (35J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)
Cites Work
- Scattered data interpolation and approximation using bivariate \(C^{1}\) piecewise cubic polynomials
- On the optimal approximation rates for criss-cross finite element spaces
- On bivariate super vertex splines
- Multivariate vertex splines and finite elements
- Two preconditioners based on the multi-level splitting of finite element spaces
- On the multi-level splitting of finite element spaces
- The hierarchical basis multigrid method
- The dimension of bivariate spline spaces of smoothness r for degree \(d\geq 4r+1\)
- Dual bases for spline spaces on cells
- Super spline spaces of smoothness \(r\) and degree \(d\geq{} 3r+2\)
- On dual functionals of polynomials in B-form
- Multilevel preconditioning
- Box splines
- A basic norm equivalence for the theory of multilevel methods
- \(C^ 1\)-hierarchical bases
- On the approximation order from certain multivariate spline spaces
- Hierarchical Conforming Finite Element Methods for the Biharmonic Equation
- On Lattices Admitting Unique Lagrange Interpolations
- Scattered Data Interpolation Using C2 Supersplines of Degree Six
- Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation
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