Nonoverlapping domain decomposition with cross points for orthogonal spline collocation
DOI10.1515/JNUM.2008.004zbMath1149.65093OpenAlexW1980598037MaRDI QIDQ3516789
Maksymilian Dryja, Bernard Bialecki
Publication date: 11 August 2008
Published in: Journal of Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jnum.2008.004
preconditioningfast Fourier transformconjugate gradient methodspline collocationSteklov-Poincaré operatornonoverlapping domain decompositioncross point
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50) Boundary value problems for nonlinear first-order PDEs (35F30)
Related Items
Cites Work
- Unnamed Item
- A capacitance matrix method for Dirichlet problem on polygon region
- Multilevel additive and multiplicative methods for orthogonal spline collocation problems
- Preconditioning cubic spline collocation discretizations of elliptic equations
- A nonoverlapping domain decomposition method for Legendre spectral collocation problems
- A $C^1 $ Finite Element Collocation Method for Elliptic Equations
- Collocation software for second-order elliptic partial differential equations
- An experimental performance analysis for the rate of convergence of collocation on general domains
- An Optimal Order Process for Solving Finite Element Equations
- Fast Direct Solvers for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations
- Domain‐decomposition approach to local grid refinement in finite element collocation
- Convergence Analysis of Orthogonal Spline Collocation for Elliptic Boundary Value Problems
- A Nonoverlapping Domain Decomposition Method for Orthogonal Spline Collocation Problems
- A Fast Domain Decomposition Poisson Solver on a Rectangle for Hermite Bicubic Orthogonal Spline Collocation
- The Construction of Preconditioners for Elliptic Problems by Substructuring. I
- A domain decomposition preconditioner for hermite collocation problems
