The POD-DEIM reduced-order method for stochastic Allen-Cahn equations with multiplicative noise

DOI10.1016/j.camwa.2020.08.029OpenAlexW3095954519MaRDI QIDQ2214442

Dongqin Chen, Huailing Song

Publication date: 8 December 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.08.029

zbMATH Keywords

PODmultiplicative noiseDEIMGauss-Newton iteration methodstochastic-Allen-Cahn equations

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (3)

Radial basis function partition of unity procedure combined with the reduced-order method for solving Zakharov-Rubenchik equations ⋮ Numerical analysis of a second-order IPDGFE method for the Allen-Cahn equation and the curvature-driven geometric flow ⋮ Error analysis of a stable reduced order model based on the proper orthogonal decomposition method for the Allen-Cahn-Navier-Stokes system

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