Optimal multilevel preconditioners for isogeometric collocation methods
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Publication:1997868
DOI10.1016/j.matcom.2019.08.003OpenAlexW2967544534WikidataQ127405515 ScholiaQ127405515MaRDI QIDQ1997868
Publication date: 6 March 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2019.08.003
Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Computing methodologies and applications (68Uxx) Analytic and descriptive geometry (51Nxx) Linear incidence geometry (51Axx)
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Cites Work
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- Isogeometric collocation for elastostatics and explicit dynamics
- A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis
- Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models
- \textsc{GeoPDEs}: a research tool for isogeometric analysis of PDEs
- The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers
- Multigrid methods for isogeometric discretization
- Isogeometric Schwarz preconditioners for linear elasticity systems
- IETI -- isogeometric tearing and interconnecting
- Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods
- A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0
- Efficient quadrature for NURBS-based isogeometric analysis
- Optimal multilevel methods for graded bisection grids
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Overlapping Schwarz preconditioners for isogeometric collocation methods
- Isogeometric collocation: Neumann boundary conditions and contact
- Robust and optimal multi-iterative techniques for Iga Galerkin linear systems
- An isogeometric collocation method using superconvergent points
- On the existence of interpolating projections onto spline spaces
- Optimal-order isogeometric collocation at Galerkin superconvergent points
- Isogeometric block FETI-DP preconditioners for the Stokes and mixed linear elasticity systems
- Locking-free isogeometric collocation methods for spatial Timoshenko rods
- BPX-preconditioning for isogeometric analysis
- Algebraic multilevel preconditioning in isogeometric analysis: construction and numerical studies
- Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
- BDDC PRECONDITIONERS FOR ISOGEOMETRIC ANALYSIS
- Isogeometric BDDC Preconditioners with Deluxe Scaling
- Overlapping Schwarz Methods for Isogeometric Analysis
- Adaptive Selection of Primal Constraints for Isogeometric BDDC Deluxe Preconditioners
- ISOGEOMETRIC COLLOCATION METHODS
- An Introduction to Isogeometric Collocation Methods
- Iterative Methods by Space Decomposition and Subspace Correction
- Domain Decomposition Algorithms with Small Overlap
- Isogeometric Analysis
- The Cost of Continuity: Performance of Iterative Solvers on Isogeometric Finite Elements
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
- A practical guide to splines.
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