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 …

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 …

A theoretical analysis of mass scaling techniques

Y Voet, E Sande, A Buffa - arxiv preprint arxiv:2410.23816, 2024 - arxiv.org
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 …

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 …

[PDF][PDF] TIME STEP ESTIMATES FOR RECIPROCAL MASS MATRICES USING OSTROWSKI'S BOUNDS

A Tkachuk, R Kolman, JA González, M Bischoff… - researchgate.net
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 …