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Stability of an explicit high‐order spectral element method for acoustics in heterogeneous media based on local element stability criteria
R Cottereau, R Sevilla - International Journal for Numerical …, 2018 - Wiley Online Library
This paper considers the stability of an explicit leapfrog time marching scheme for the
simulation of acoustic wave propagation in heterogeneous media with high‐order spectral …
simulation of acoustic wave propagation in heterogeneous media with high‐order spectral …
Data‐Based Estimation of Critical Time Steps for Explicit Time Integration
T Willmann, M Schilling… - International Journal for …, 2025 - Wiley Online Library
Finding the critical time step for conditionally stable time integration methods has been a
decades‐long problem. The apparently obvious option of directly computing it from a …
decades‐long problem. The apparently obvious option of directly computing it from a …
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 …
Reciprocal mass matrices and a feasible time step estimator for finite elements with Allman's rotations
A Tkachuk - International Journal for Numerical Methods in …, 2021 - Wiley Online Library
Finite elements with Allman's rotations provide good computational efficiency for explicit
codes exhibiting less locking than linear elements and lower computational cost than …
codes exhibiting less locking than linear elements and lower computational cost than …
[PDF][PDF] TIME STEP ESTIMATES FOR RECIPROCAL MASS MATRICES USING OSTROWSKI'S BOUNDS
In this contribution, a novel local, node-based time step estimate for reciprocal mass
matrices with improved sharpness is proposed. Reciprocal mass matrices are sparse …
matrices with improved sharpness is proposed. Reciprocal mass matrices are sparse …