Inverse mass matrix via the method of localized Lagrange multipliers
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Publication:6557596
DOI10.1002/NME.5613zbMATH Open1548.74805MaRDI QIDQ6557596
Carlos A. Felippa, Radek Kolman, Sang-Soon Cho, K. C. Park, José A. González
Publication date: 18 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
- Mass matrix templates: general description and 1D examples
- Variational methods for selective mass scaling
- Accurate finite element modeling of linear elastodynamics problems with the reduced dispersion error
- Increasing the critical time step: micro-inertia, inertia penalties and mass scaling
- An explicit dynamics extended finite element method. II: Element-by-element stable-explicit/explicit dynamic scheme
- Selective mass scaling for thin walled structures modeled with tri-linear solid elements
- A formulation based on localized Lagrange multipliers for BEM-FEM coupling in contact problems
- Explicit time integration algorithms for structural dynamics with optimal numerical dissipation
- A localized version of the method of Lagrange multipliers and its applications
- Local and global strategies for optimal selective mass scaling
- A method for multidimensional wave propagation analysis via component-wise partition of longitudinal and shear waves
- Lumped mass finite element implementation of continuum theories with micro-inertia
- A multiscale mass scaling approach for explicit time integration using proper orthogonal decomposition
- Direct and sparse construction of consistent inverse mass matrices: general variational formulation and application to selective mass scaling
- An explicit method with improved stability property
- Practical aspects of numerical time integration
- A variational principle for the formulation of partitioned structural systems
- A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
- Selective mass scaling for explicit finite element analyses
- On the Partial Difference Equations of Mathematical Physics
- Dispersion-corrected explicit integration of the wave equation
Related Items (5)
Reciprocal mass matrices and a feasible time step estimator for finite elements with Allman's rotations ⋮ Partitioned formulation of contact-impact problems with stabilized contact constraints and reciprocal mass matrices ⋮ Explicit multistep time integration for discontinuous elastic stress wave propagation in heterogeneous solids ⋮ Inverse mass matrix for isogeometric explicit transient analysis via the method of localized Lagrange multipliers ⋮ Higher-order inverse mass matrices for the explicit transient analysis of heterogeneous solids
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