Robust approximation error estimates and multigrid solvers for isogeometric multi-patch discretizations
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Publication:4630526
DOI10.1142/S021820251850046XzbMath1411.65157arXiv1709.05375MaRDI QIDQ4630526
Publication date: 27 March 2019
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.05375
Numerical computation using splines (65D07) 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) Preconditioners for iterative methods (65F08)
Related Items (15)
Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods ⋮ Multigrid solvers for immersed finite element methods and immersed isogeometric analysis ⋮ Ritz-type projectors with boundary interpolation properties and explicit spline error estimates ⋮ Discretization error estimates for discontinuous Galerkin isogeometric analysis ⋮ Isogeometric tearing and interconnecting solvers for linear elasticity in multi-patch isogeometric analysis with theory for two dimensional domains ⋮ Multigrid solvers for isogeometric discretizations of the second biharmonic problem ⋮ Robust Preconditioning and Error Estimates for Optimal Control of the Convection--Diffusion--Reaction Equation with Limited Observation in Isogeometric Analysis ⋮ Robust multigrid solvers for the biharmonic problem in isogeometric analysis ⋮ A domain decomposition method for isogeometric multi-patch problems with inexact local solvers ⋮ \(p\)-multigrid methods and their comparison to \(h\)-multigrid methods within isogeometric analysis ⋮ Overlapping Schwarz methods for isogeometric analysis based on generalized B-splines ⋮ Fast multigrid solvers for conforming and non-conforming multi-patch isogeometric analysis ⋮ Condition number bounds for IETI-DP methods that are explicit in h and p ⋮ Explicit error estimates for spline approximation of arbitrary smoothness in isogeometric analysis ⋮ Parallel and Robust Preconditioning for Space-Time Isogeometric Analysis of Parabolic Evolution Problems
Uses Software
Cites Work
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