A block ILUT smoother for multipatch geometries in isogeometric analysis

DOI10.1007/978-3-030-92313-6_11zbMath1497.65237OpenAlexW4290628368MaRDI QIDQ2090179

Matthias Möller, Roel Tielen, Kees Vuik

Publication date: 24 October 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-92313-6_11

Mathematics Subject Classification ID

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) Iterative numerical methods for linear systems (65F10)

Uses Software

• Eigen
• SPARSKIT
• ILUT

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fast isogeometric solvers for explicit dynamics
• Multigrid methods for isogeometric discretization
• \(p\)-multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
• Fast linear solver for diffusion problems with applications to pressure computation in layered domains
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• A practical guide to splines
• Efficient matrix computation for tensor-product isogeometric analysis: the use of sum factorization
• Efficient \(p\)-multigrid based solvers for isogeometric analysis on multipatch geometries
• \(p\)-multigrid methods and their comparison to \(h\)-multigrid methods within isogeometric analysis
• Robust multigrid solvers for the biharmonic problem in isogeometric analysis
• A parallel multigrid solver for multi-patch isogeometric analysis
• A robust multigrid method for isogeometric analysis in two dimensions using boundary correction
• Fast formation of isogeometric Galerkin matrices by weighted quadrature
• Low rank tensor methods in Galerkin-based isogeometric analysis
• A \(p\)-multigrid discontinuous Galerkin method for the Euler equations on unstructured grids
• Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS
• Isogeometric Preconditioners Based on Fast Solvers for the Sylvester Equation
• Overlapping Schwarz Methods for Isogeometric Analysis
• Symbol-Based Multigrid Methods for Galerkin B-Spline Isogeometric Analysis
• Deflation of Conjugate Gradients with Applications to Boundary Value Problems
• Domain-Decomposition-Type Methods for Computing the Diagonal of a Matrix Inverse
• A Parallel Geometric Multigrid Method for Finite Elements on Octree Meshes
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• A Multigrid Tutorial, Second Edition
• An Approximate Minimum Degree Ordering Algorithm
• ILUT: A dual threshold incomplete LU factorization
• Robust Multigrid for Isogeometric Analysis Based on Stable Splittings of Spline Spaces
• A Direct Projection to Low-Order Level for p-Multigrid Methods in Isogeometric Analysis
• A Robust Multigrid Solver for Isogeometric Analysis Based on Multiplicative Schwarz Smoothers
• The Cost of Continuity: Performance of Iterative Solvers on Isogeometric Finite Elements

This page was built for publication: A block ILUT smoother for multipatch geometries in isogeometric analysis