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[HTML][HTML] A mathematical theory for mass lum** and its generalization with applications to isogeometric analysis
Explicit time integration schemes coupled with Galerkin discretizations of time-dependent
partial differential equations require solving a linear system with the mass matrix at each …
partial differential equations require solving a linear system with the mass matrix at each …
[HTML][HTML] Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics
In this article, we study the effect of small-cut elements on the critical time-step size in an
immersogeometric explicit dynamics context. We analyze different formulations for second …
immersogeometric explicit dynamics context. We analyze different formulations for second …
An efficient mass lum** scheme for isogeometric analysis based on approximate dual basis functions
S Held, S Eisenträger, W Dornisch - ar** scheme for explicit dynamics in
isogeometric analysis (IGA). To this end, an element formulation based on the idea of dual …
isogeometric analysis (IGA). To this end, an element formulation based on the idea of dual …
Mass lum** and outlier removal strategies for complex geometries in isogeometric analysis
Mass lum** techniques are commonly employed in explicit time integration schemes for
problems in structural dynamics and both avoid solving costly linear systems with the …
problems in structural dynamics and both avoid solving costly linear systems with the …
Optimized quadrature rules for isogeometric frequency analysis of wave equations using cubic splines
X Xu, S Hou, Z Wu, D Wang - International Journal of Applied …, 2023 - World Scientific
An optimization of quadrature rules is presented for the isogeometric frequency analysis of
wave equations using cubic splines. In order to optimize the quadrature rules aiming at …
wave equations using cubic splines. In order to optimize the quadrature rules aiming at …
[PDF][PDF] Finite element technology-based selective mass scaling for shear deformable structural element formulations
We present a new concept for selective mass scaling (SMS) in the context of shear
deformable structural element formulations. The novel SMS scheme is based on a method …
deformable structural element formulations. The novel SMS scheme is based on a method …
Robust mass lum** and outlier removal strategies in isogeometric analysis
Mass lum** techniques are commonly employed in explicit time integration schemes for
problems in structural dynamics and both avoid solving costly linear systems with the …
problems in structural dynamics and both avoid solving costly linear systems with the …
A theoretical analysis of mass scaling techniques
Mass scaling is widely used in finite element models of structural dynamics for increasing
the critical time step of explicit time integration methods. While the field has been flourishing …
the critical time step of explicit time integration methods. While the field has been flourishing …
Data-driven synchronization-avoiding algorithms in the explicit distributed structural analysis of soft tissue
We propose a data-driven framework to increase the computational efficiency of the explicit
finite element method in the structural analysis of soft tissue. An encoder–decoder long short …
finite element method in the structural analysis of soft tissue. An encoder–decoder long short …
Higher‐order inverse mass matrices for the explicit transient analysis of heterogeneous solids
New methods are presented for the direct computation of higher‐order inverse mass
matrices (also called reciprocal mass matrices) that are used for explicit transient finite …
matrices (also called reciprocal mass matrices) that are used for explicit transient finite …