A preconditioning strategy for linear systems arising from nonsymmetric schemes in isogeometric analysis
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Publication:1663833
DOI10.1016/j.camwa.2017.06.013zbMath1475.65177arXiv1705.04384OpenAlexW2615767956MaRDI QIDQ1663833
Publication date: 24 August 2018
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.04384
Numerical computation using splines (65D07) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Related Items
Fast formation of isogeometric Galerkin matrices via integration by interpolation and look-up, Enhanced domain decomposition Schwarz solution schemes for isogeometric collocation methods, Matrix-free weighted quadrature for a computationally efficient isogeometric \(k\)-method, Overlapping Schwarz methods for isogeometric analysis based on generalized B-splines, Overlapping additive Schwarz preconditioners for isogeometric collocation discretizations of linear elasticity, Parallel and Robust Preconditioning for Space-Time Isogeometric Analysis of Parabolic Evolution Problems, Efficient Direct Space-Time Finite Element Solvers for Parabolic Initial-Boundary Value Problems in Anisotropic Sobolev Spaces
Uses Software
Cites Work
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- Matrix-equation-based strategies for convection-diffusion equations
- Isogeometric collocation for elastostatics and explicit dynamics
- A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis
- \textsc{GeoPDEs}: a research tool for isogeometric analysis of PDEs
- Efficient quadrature for NURBS-based isogeometric analysis
- Norms and exclusion theorems
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis
- Overlapping Schwarz preconditioners for isogeometric collocation methods
- Selective and reduced numerical integrations for NURBS-based isogeometric analysis
- An isogeometric collocation method using superconvergent points
- Robust and optimal multi-iterative techniques for Iga collocation linear systems
- On the existence of interpolating projections onto spline spaces
- The variational collocation method
- Optimal quadrature for univariate and tensor product splines
- Fast formation of isogeometric Galerkin matrices by weighted quadrature
- Optimal-order isogeometric collocation at Galerkin superconvergent points
- Low rank tensor methods in Galerkin-based isogeometric analysis
- Direct solution of partial difference equations by tensor product methods
- Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
- Isogeometric Preconditioners Based on Fast Solvers for the Sylvester Equation
- Matrix Generation in Isogeometric Analysis by Low Rank Tensor Approximation
- ISOGEOMETRIC COLLOCATION METHODS
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Preconditioning by Fast Direct Methods for Nonself-Adjoint Nonseparable Elliptic Equations
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- Optimal Equivalent Preconditioners
- Spectral Analysis of Hermite Cubic Spline Collocation Systems
- High-Order Methods for Incompressible Fluid Flow
- Isogeometric Analysis
- The Cost of Continuity: Performance of Iterative Solvers on Isogeometric Finite Elements
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- Spectral Methods
- Collocation at Gaussian Points
