Easy and efficient preconditioning of the isogeometric mass matrix
DOI10.1016/j.camwa.2020.12.009OpenAlexW3121066449MaRDI QIDQ2147290
Gabriele Loli, Mattia Tani, Giancarlo Sangalli
Publication date: 23 June 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.02313
Numerical computation using splines (65D07) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spline approximation (41A15)
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- Tensor Decompositions and Applications
- Isogeometric collocation for elastostatics and explicit dynamics
- Fast isogeometric solvers for explicit dynamics
- A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0
- Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis
- \(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Isogeometric mortar methods
- Matrix-free weighted quadrature for a computationally efficient isogeometric \(k\)-method
- Explicit higher-order accurate isogeometric collocation methods for structural dynamics
- Biorthogonal splines for optimal weak patch-coupling in isogeometric analysis with applications to finite deformation elasticity
- Isogeometric analysis: progress and challenges
- Low rank tensor methods in Galerkin-based isogeometric analysis
- Application of fast isogeometric L2 projection solver for tumor growth simulations
- Multi-patch discontinuous Galerkin isogeometric analysis for wave propagation: explicit time-stepping and efficient mass matrix inversion
- A black-box low-rank approximation algorithm for fast matrix assembly in isogeometric analysis
- Approximation in FEM, DG and IGA: a theoretical comparison
- \(\overline {\text B}\) and \(\overline {\text F}\) projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements
- Approximation error estimates and inverse inequalities for B-splines of maximum smoothness
- Finite Elements and Fast Iterative Solvers
- Overlapping Schwarz Methods for Isogeometric Analysis
- Mass Smoothers in Geometric Multigrid for Isogeometric Analysis
- Matrix Generation in Isogeometric Analysis by Low Rank Tensor Approximation
- Direct and sparse construction of consistent inverse mass matrices: general variational formulation and application to selective mass scaling
- Parallel Fast Isogeometric Solvers for Explicit Dynamics
- Isogeometric Analysis
- Mathematical analysis of variational isogeometric methods
- Sharp error estimates for spline approximation: Explicit constants, n-widths, and eigenfunction convergence
- Robust Multigrid for Isogeometric Analysis Based on Stable Splittings of Spline Spaces
- A Low-Rank Tensor Method for PDE-Constrained Optimization with Isogeometric Analysis
- A practical guide to splines.
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