Towards higher-order accurate mass lumping in explicit isogeometric analysis for structural dynamics (Q6147002)

scientific article; zbMATH DE number 7788074

Language	Label	Description	Also known as
English	Towards higher-order accurate mass lumping in explicit isogeometric analysis for structural dynamics	scientific article; zbMATH DE number 7788074

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instance of

scholarly article

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title

Towards higher-order accurate mass lumping in explicit isogeometric analysis for structural dynamics (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

15 January 2024

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full work available at URL

https://arxiv.org/abs/2305.12916

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zbMATH Keywords

isogeometric analysis

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explicit dynamics

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mass lumping

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approximate dual functions

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Petrov-Galerkin method

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higher-order accuracy

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MaRDI profile type

MaRDI publication profile

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cites work

Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

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Isogeometric Analysis

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Isogeometric analysis of structural vibrations

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Mass scaling and stable time step estimates for isogeometric analysis

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Explicit algorithms for the nonlinear dynamics of shells

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Computational methods in Lagrangian and Eulerian hydrocodes

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Finite element mass matrix lumping by numerical integration with no convergence rate loss

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Spectral Methods

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Comparison of different higher order finite element schemes for the simulation of Lamb waves

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Mass lumping techniques in the spectral element method: on the equivalence of the row-sum, nodal quadrature, and diagonal scaling methods

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Critical assessment of different mass lumping schemes for higher order serendipity finite elements

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Legendre spectral finite elements for structural dynamics analysis

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Reliable second-order hexahedral elements for explicit methods in nonlinear solid dynamics

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Numerical analysis of Lamb waves using the finite and spectral cell methods

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A massively parallel explicit solver for elasto-dynamic problems exploiting octree meshes

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Curved node-to-face contact schemes for higher-order finite elements in lumped-mass explicit methods

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Local and global strategies for optimal selective mass scaling

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Binary spatial partitioning of the central-difference time integration scheme for explicit fast transient dynamics

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Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations

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Isogeometric shell analysis with Kirchhoff-Love elements

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Numerical efficiency, locking and unlocking of NURBS finite elements

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Isogeometric shell analysis: the Reissner-Mindlin shell

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A large deformation, rotation-free, isogeometric shell

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Fluid-structure interaction modeling of wind turbines: simulating the full machine

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Isogeometric Reissner-Mindlin shell analysis with exactly calculated director vectors

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An isogeometric solid-like shell element for nonlinear analysis

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An isogeometric locking-free NURBS-based solid-shell element for geometrically nonlinear analysis

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Blended isogeometric shells

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A hierarchic family of isogeometric shell finite elements

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Explicit finite deformation analysis of isogeometric membranes

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Explicit dynamic isogeometric B-rep analysis of penalty-coupled trimmed NURBS shells

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Stable time step estimates for NURBS-based explicit dynamics

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Removal of spurious outlier frequencies and modes from isogeometric discretizations of second- and fourth-order problems in one, two, and three dimensions

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Isogeometric analysis for explicit elastodynamics using a dual-basis diagonal mass formulation

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Q3592409

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Isogeometric dual mortar methods for computational contact mechanics

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Isogeometric Bézier dual mortaring: refineable higher-order spline dual bases and weakly continuous geometry

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An isogeometric Reissner-Mindlin shell element based on Bézier dual basis functions: overcoming locking and improved coarse mesh accuracy

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Nonstationary tight wavelet frames. I: Bounded intervals

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A robust patch coupling method for NURBS-based isogeometric analysis of non-conforming multipatch surfaces

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The weak substitution method - an application of the mortar method for patch coupling in NURBS-based isogeometric analysis

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Isogeometric Bézier dual mortaring: the enriched Bézier dual basis with application to second- and fourth-order problems

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Biorthogonal splines for optimal weak patch-coupling in isogeometric analysis with applications to finite deformation elasticity

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Dual and approximate dual basis functions for B-splines and NURBS -- comparison and application for an efficient coupling of patches with the isogeometric mortar method

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Explicit higher-order accurate isogeometric collocation methods for structural dynamics

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A boundary penalization technique to remove outliers from isogeometric analysis on tensor-product meshes

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A variational approach based on perturbed eigenvalue analysis for improving spectral properties of isogeometric multipatch discretizations

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Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis

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Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis

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Fast formation and assembly of finite element matrices with application to isogeometric linear elasticity

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Isogeometric finite element data structures based on Bézier extraction of NURBS

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Analysis in computer aided design: nonlinear isogeometric B-Rep analysis of shell structures

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Imposing Dirichlet boundary conditions with Nitsche's method and spline-based finite elements

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The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements

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Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format

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Leveraging spectral analysis to elucidate membrane locking and unlocking in isogeometric finite element formulations of the curved Euler-Bernoulli beam

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Q4680126

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A matrix-free isogeometric Galerkin method for Karhunen-Loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadrature

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Identifiers

arXiv ID

2305.12916

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Mathematics Subject Classification ID

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10.1016/J.CMA.2023.116233

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Sitelinks

Mathematics(1 entry)

mardi Publication:6147002