An efficient approximation to the stochastic Allen-Cahn equation with random diffusion coefficient field and multiplicative noise
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s10444-023-10072-w.pdf
Reference58 articles.
1. Allen, S.M., Cahn, J.W.: A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening. Acta Metall 27(6), 1085–1095 (1979)
2. Andersson, A., Larsson, S.: Weak convergence for a spatial approximation of the nonlinear stochastic heat equation. Math. Comput 85(299), 1335–1358 (2016)
3. Babuška, I., Nobile, F., Tempone, R.: A stochastic collocation method for elliptic partial differential equations with random input data. SIAM J Numer Anal 45(3), 1005–1034 (2007)
4. Babuška, I., Tempone, R., Zouraris, G.E.: Galerkin finite element approximations of stochastic elliptic partial differential equations. SIAM SIAM J Numer Anal 42(2), 800–825 (2004)
5. Becker, S., Gess, B., Jentzen, A., Kloeden, P.E.: Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations. Stoch. Partial Differ. Equ. Anal Comput 1–58 (2022)
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