An efficient multi-level high-order algorithm for simulation of a class of Allen–Cahn stochastic systems

Ganesh, M.; Reyes, B.

doi:10.1016/j.cam.2021.113765

Title: An efficient multi-level high-order algorithm for simulation of a class of Allen–Cahn stochastic systems

Journal Article · 31 January 2022 · Journal of Computational and Applied Mathematics

DOI: https://doi.org/10.1016/j.cam.2021.113765 · OSTI ID:1868784

; Reyes, B.

Not Available

View Accepted Manuscript (Publisher)

Cite

Export

Save

Sponsoring Organization:: USDOE

OSTI ID:: 1868784

Journal Information:: Journal of Computational and Applied Mathematics, Journal Name: Journal of Computational and Applied Mathematics Journal Issue: C Vol. 401; ISSN 0377-0427

Publisher:: ElsevierCopyright Statement

Country of Publication:: Belgium

Language:: English

References (16)

Phase transitions and generalized motion by mean curvature Evans, L. C.; Soner, H. M.; Souganidis, P. E. Communications on Pure and Applied Mathematics, Vol. 45, Issue 9 https://doi.org/10.1002/cpa.3160450903	journal	October 1992
Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows Feng, Xiaobing; Prohl, Andreas Numerische Mathematik, Vol. 94, Issue 1 https://doi.org/10.1007/s00211-002-0413-1	journal	March 2003
Application of Quasi-Monte Carlo Methods to Elliptic PDEs with Random Diffusion Coefficients: A Survey of Analysis and Implementation Kuo, Frances Y.; Nuyens, Dirk Foundations of Computational Mathematics, Vol. 16, Issue 6 https://doi.org/10.1007/s10208-016-9329-5	journal	September 2016
A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening Allen, Samuel M.; Cahn, John W. Acta Metallurgica, Vol. 27, Issue 6 https://doi.org/10.1016/0001-6160(79)90196-2	journal	June 1979
Geometrical image segmentation by the Allen–Cahn equation Beneš, Michal; Chalupecký, Vladimı́r; Mikula, Karol Applied Numerical Mathematics, Vol. 51, Issue 2-3 https://doi.org/10.1016/j.apnum.2004.05.001	journal	November 2004
An offline/online algorithm for a class of stochastic multiple obstacle scattering configurations in the half-plane Ganesh, M.; Hawkins, S. C. Journal of Computational and Applied Mathematics, Vol. 307 https://doi.org/10.1016/j.cam.2016.04.026	journal	December 2016
An unconditionally stable hybrid numerical method for solving the Allen–Cahn equation Li, Yibao; Lee, Hyun Geun; Jeong, Darae Computers & Mathematics with Applications, Vol. 60, Issue 6 https://doi.org/10.1016/j.camwa.2010.06.041	journal	September 2010
An efficient algorithm for solving the phase field crystal model Cheng, Mowei; Warren, James A. Journal of Computational Physics, Vol. 227, Issue 12 https://doi.org/10.1016/j.jcp.2008.03.012	journal	June 2008
An efficient algorithm for a class of stochastic forward and inverse Maxwell models in R 3 Ganesh, M.; Hawkins, S. C.; Volkov, D. Journal of Computational Physics, Vol. 398 https://doi.org/10.1016/j.jcp.2019.108881	journal	December 2019
Existence and regularity of solution for a stochastic Cahn–Hilliard/Allen–Cahn equation with unbounded noise diffusion Antonopoulou, Dimitra C.; Karali, Georgia; Millet, Annie Journal of Differential Equations, Vol. 260, Issue 3 https://doi.org/10.1016/j.jde.2015.10.004	journal	February 2016
Allen–Cahn and Cahn–Hilliard-like equations for dissipative dynamics of saturated porous media Cirillo, Emilio N. M.; Ianiro, Nicoletta; Sciarra, Giulio Journal of the Mechanics and Physics of Solids, Vol. 61, Issue 2 https://doi.org/10.1016/j.jmps.2012.08.014	journal	February 2013
A stochastic pseudospectral and T-matrix algorithm for acoustic scattering by a class of multiple particle configurations Ganesh, M.; Hawkins, S. C. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 123 https://doi.org/10.1016/j.jqsrt.2013.01.011	journal	July 2013
High-dimensional integration: The quasi-Monte Carlo way Dick, Josef; Kuo, Frances Y.; Sloan, Ian H. Acta Numerica, Vol. 22 https://doi.org/10.1017/S0962492913000044	journal	April 2013
Multilevel Monte Carlo methods Giles, Michael B. Acta Numerica, Vol. 24 https://doi.org/10.1017/S096249291500001X	journal	April 2015
Generation of Interface for an Allen-Cahn Equation with Nonlinear Diffusion Alfaro, M.; Hilhorst, D. Mathematical Modelling of Natural Phenomena, Vol. 5, Issue 5 https://doi.org/10.1051/mmnp/20105501	journal	January 2010
A High Performance Computing and Sensitivity Analysis Algorithm for Stochastic Many-Particle Wave Scattering Ganesh, M.; Hawkins, S. C. SIAM Journal on Scientific Computing, Vol. 37, Issue 3 https://doi.org/10.1137/140996069	journal	January 2015

Similar Records

An adaptive multi-level simulation algorithm for stochastic biological systems

Journal Article · 2015 · Journal of Chemical Physics · OSTI ID:22415823

Giles, M. B.; Baker, R. E.; Yates, C. A.

Multiphase Allen–Cahn and Cahn–Hilliard models and their discretizations with the effect of pairwise surface tensions

Journal Article · 2017 · Journal of Computational Physics · OSTI ID:1439537

Wu, Shuonan; Xu, Jinchao

Fast and accurate algorithms for simulating coarsening dynamics of Cahn–Hilliard equations

Journal Article · 2015 · Computational Materials Science · OSTI ID:1556198

Ju, Lili; Zhang, Jian; Du, Qiang

Title: An efficient multi-level high-order algorithm for simulation of a class of Allen–Cahn stochastic systems

Citation Formats

References (16)

Similar Records

Related Subjects