A multiscale mass scaling approach for explicit time integration using proper orthogonal decomposition

DOI10.1002/nme.4608zbMath1352.74341OpenAlexW2165796132MaRDI QIDQ2952433

G. J. de Frías, Wilkins Aquino, Benjamin W. Spencer, Martin W. Heinstein, Kendall H. Pierson

Publication date: 30 December 2016

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.4608

zbMATH Keywords

PODmultiscaleexplicit dynamicsmass scaling

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items

Direct and sparse construction of consistent inverse mass matrices: general variational formulation and application to selective mass scaling, Adaptive and variable model order reduction method for fracture modelling using explicit time integration

Cites Work

• Unnamed Item
• A global model reduction approach for 3D fatigue crack growth with confined plasticity
• Multi-level a priori hyper-reduction of mechanical models involving internal variables
• A priori model reduction through proper generalized decomposition for solving time-dependent partial differential equations
• An object-oriented framework for reduced-order models using proper orthogonal decomposition (POD)
• Equation-free/Galerkin-free POD-assisted computation of incompressible flows
• Dimensional model reduction in non‐linear finite element dynamics of solids and structures
• Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
• Eigenvalues and Stable Time Steps for the Uniform Strain Hexahedron and Quadrilateral
• Generalized finite element method using proper orthogonal decomposition
• Estimating the critical time-step in explicit dynamics using the Lanczos method
• Turbulence and the dynamics of coherent structures. I. Coherent structures
• On the Partial Difference Equations of Mathematical Physics