Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows

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DOI10.1137/17M1159968zbMath1403.65047OpenAlexW2893622182WikidataQ129192962 ScholiaQ129192962MaRDI QIDQ4687225

Jie Xu, Jie Shen

Publication date: 11 October 2018

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1159968

zbMATH Keywords

energy stability gradient flows Cahn-Hilliard Allen-Cahn convergence and error analysis

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for higher-order parabolic equations (35K35) Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Applications to the sciences (65Z05)

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