Error Estimates for Full Discretization of a Model for Ostwald Ripening

REFERENCES

• D. Fan , L.-Q. Chen , S. Chen , and P. W. Voorhees ( 1998 ). Phase field formulations for modeling the Ostwald ripening in two-phase systems . Comp. Mater. Sci. 9 : 329 – 336 .
   Google Scholar
• P.N. Silva and J.L. Boldrini ( 2003 ). Modelos do Tipo Campo de Fases em Processos de Cristalização , Ph.D. Thesis, IMECC/UNICAMP .
   Google Scholar
• L.-Q. Chen and D. Fan ( 1996 ). Computer simulation for a coupled grain growth and Ostwald ripening—application to Al2O3–Zr2 two-phase systems . J. Am. Ceram. Soc. 79 : 1163 – 1168 .
   Web of Science ®Google Scholar
• L.-Q. Chen and D. Fan ( 1997 ). Computer simulation of grain growth using a continuum filed model . Acta Mater. 45 : 611 – 622 .
   Google Scholar
• L.-Q. Chen and D. Fan ( 1997 ). Diffusion-controlled grain growth in two-phase solids . Acta Mater. 45 : 3297 – 3310 .
   Google Scholar
• L.-Q. Chen , D. Fan , and C. Geng ( 1997 ). Computer simulation of topological evolution in 2-d grain growth using a continuum diffusion-interface filed model . Acta Mater. 45 : 1115 – 1126 .
   Google Scholar
• X. Feng and A. Prohl (2005). Numerical analysis of the Cahn–Hilliard equation and approximation for the Hele–Shaw problem. Interfaces and Free Boundaries 7:1–28.
   Google Scholar
• X. Feng and A. Prohl ( 2003 ). Numerical analysis of the Allen–Cahn equation and approximation for the mean curvature flows . Numer. Math. 94 : 33 – 65 .
   Web of Science ®Google Scholar
• M.I.M. Copetti and C.M. Elliott ( 1992 ). Numerical analysis of the Cahn–Hilliard equation with a logarithmic free energy . Numer. Math. 63 : 39 – 65 .
   Web of Science ®Google Scholar
• C.M. Elliott and S. Larsson ( 1992 ). Error estimates with smooth and nonsmooth data for a finite element method for the Cahn–Hilliard equation . Math. Comp. 58 : 603 – 630 .
   Web of Science ®Google Scholar