Error estimates with low-order polynomial dependence for the fully-discrete finite element invariant energy quadratization scheme of the Allen–Cahn equation

DOI10.1142/s0218202523500537zbMath1527.65100OpenAlexW4386708648MaRDI QIDQ6068355

Xiao-Feng Yang, Unnamed Author

Publication date: 15 December 2023

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202523500537

zbMATH Keywords

error estimatesAllen-Cahn equationenergy stabilityinvariant energy quadratizationpolynomial order

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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