Stability and convergence of in time approximations of hyperbolic elastodynamics via stepwise minimization

DOI10.1016/j.jde.2024.09.034MaRDI QIDQ6644210

Antonín Češík, Sebastian Schwarzacher

Publication date: 27 November 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

elastodynamicstime-discretizationminimizing movementshyperbolic evolutionssolids with large deformations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Stability of dynamical problems in solid mechanics (74H55) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Regularity of solutions of dynamical problems in solid mechanics (74H30) Energy minimization in dynamical problems in solid mechanics (74H80)

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