کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6932817 867572 2014 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements
چکیده انگلیسی
We consider the efficient solution of the Cahn-Hilliard variational inequality using an implicit time discretization, which is formulated as an optimal control problem with pointwise constraints on the control. By applying a semi-smooth Newton method combined with a Moreau-Yosida regularization technique for handling the control constraints we show superlinear convergence in function space. At the heart of this method lies the solution of large and sparse linear systems for which we propose the use of preconditioned Krylov subspace solvers using an effective Schur complement approximation. Numerical results illustrate the competitiveness of this approach.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 262, 1 April 2014, Pages 38-57
نویسندگان
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