Overlapping additive Schwarz preconditioners for elliptic PDEs on the unit sphere
From MaRDI portal
Publication:3055085
DOI10.1090/S0025-5718-08-02150-9zbMath1198.65241OpenAlexW1978298401MaRDI QIDQ3055085
No author found.
Publication date: 7 November 2010
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-08-02150-9
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (8)
Block preconditioners for linear systems arising from multiscale collocation with compactly supported RBFs ⋮ NEW RESULTS FOR PARABOLIC EQUATION ON THE SPHERE WITH CAPUTO–FABRIZIO OPERATOR ⋮ Notes on continuity result for conformable diffusion equation on the sphere: the linear case ⋮ Stability and preconditioning for a hybrid approximation on the sphere ⋮ Existence for time-fractional semilinear diffusion equation on the sphere ⋮ An overlapping additive Schwarz preconditioner for the Laplace-Beltrami equation using spherical splines ⋮ An overlapping additive Schwarz preconditioner for interpolation on the unit sphere with spherical radial basis functions ⋮ Preconditioners for pseudodifferential equations on the sphere with radial basis functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Continuous and discrete least-squares approximation by radial basis functions on spheres
- Error estimates for interpolation by compactly supported radial basis functions of minimal degree
- Error bounds for solving pseudodifferential equations on spheres by collocation with zonal kernels
- Galerkin approximation for elliptic PDEs on spheres
- A Duchon framework for the sphere
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- Spherical harmonics
- Positive definite functions on spheres
- Fast Solution of the Radial Basis Function Interpolation Equations: Domain Decomposition Methods
- Practical and mathematical aspects of the problem of reconstructing objects from radiographs
- Strictly Positive Definite Functions on Spheres
- Error estimates for scattered data interpolation on spheres
- Norm estimates of interpolation matrices and their inverses associated with strictly positive definite functions
- Additive schwarz methods for the H-version boundary element method
- Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting
- An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lamé crack problems
- Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions
- A necessary and sufficient condition for strictly positive definite functions on spheres
- Functional Operators (AM-22), Volume 2
- Scattered Data Approximation
- Overlapping additive Schwarz preconditioners for boundary element methods
This page was built for publication: Overlapping additive Schwarz preconditioners for elliptic PDEs on the unit sphere
