Convergence to equilibrium for discretized gradient-like systems with analytic features

DOI10.1093/IMANUM/DRS042zbMath1283.65063OpenAlexW2319073748MaRDI QIDQ2856622

Nour Eddine Alaa, Morgan Pierre

Publication date: 30 October 2013

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drs042

zbMATH Keywords

convergenceLyapunov stabilitysine-Gordon equationdamped wave equationsAllen-Cahn equationdescent algorithmŁojasiewicz gradient inequalitygradient-like systems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) PDEs in connection with fluid mechanics (35Q35) Second-order nonlinear hyperbolic equations (35L70) PDEs in connection with quantum mechanics (35Q40) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

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