A mathematical theory for mass lumping and its generalization with applications to isogeometric analysis
From MaRDI portal
Publication:6094693
DOI10.1016/j.cma.2023.116033arXiv2212.03614MaRDI QIDQ6094693
Yannis Voet, Annalisa Buffa, Espen Sande
Publication date: 14 September 2023
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.03614
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Variational methods for selective mass scaling
- Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems
- Fast isogeometric solvers for explicit dynamics
- A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Numerical models for differential problems. Translated by Silvia Quarteroni.
- Isogeometric analysis of structural vibrations
- Zero and negative masses in finite element vibration and transient analysis
- Finite element mass matrix lumping by numerical integration with no convergence rate loss
- Perturbation bounds for the definite generalized eigenvalue problem
- Higher-order finite elements with mass-lumping for the 1D wave equation
- Efficient matrix computation for tensor-product isogeometric analysis: the use of sum factorization
- A note on Stewart's theorem for definite matrix pairs
- Partial tensor decomposition for decoupling isogeometric Galerkin discretizations
- Explicit higher-order accurate isogeometric collocation methods for structural dynamics
- Isogeometric analysis for explicit elastodynamics using a dual-basis diagonal mass formulation
- Mass lumping techniques in the spectral element method: on the equivalence of the row-sum, nodal quadrature, and diagonal scaling methods
- Efficient matrix computation for isogeometric discretizations with hierarchical B-splines in any dimension
- Application of optimal spline subspaces for the removal of spurious outliers in isogeometric discretizations
- A boundary penalization technique to remove outliers from isogeometric analysis on tensor-product meshes
- Removal of spurious outlier frequencies and modes from isogeometric discretizations of second- and fourth-order problems in one, two, and three dimensions
- Fast formation of isogeometric Galerkin matrices by weighted quadrature
- Low rank tensor methods in Galerkin-based isogeometric analysis
- A rigorous and unified mass lumping scheme for higher-order elements
- 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
- Optimal spline spaces for \(L^2\ n\)-width problems with boundary conditions
- On the stability of the Rayleigh-Ritz method for eigenvalues
- Variationally consistent mass scaling for explicit time-integration schemes of lower- and higher-order finite element methods
- Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation
- Isogeometric Preconditioners Based on Fast Solvers for the Sylvester Equation
- A Kronecker Product Preconditioner for Stochastic Galerkin Finite Element Discretizations
- A Kronecker product approximate preconditioner for SANs
- Influence of Gauss and Gauss‐Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain
- Gershgorin Theory for the Generalized Eigenvalue Problem Ax = λBx
- A Stable Generalized Eigenvalue Problem
- A Multilinear Singular Value Decomposition
- Isogeometric Analysis
- Sharp error estimates for spline approximation: Explicit constants, n-widths, and eigenfunction convergence
- Refined Perturbation Bounds for Eigenvalues of Hermitian and Non-Hermitian Matrices
- Preconditioning
- Variational Mass Lumping in the Partition of Unity Method
- Selective mass scaling for explicit finite element analyses
- Iterative solution technique in selective mass scaling
This page was built for publication: A mathematical theory for mass lumping and its generalization with applications to isogeometric analysis