UN CO RR EC TE D PR O O F 1 A Two - Level Additive Schwarz Preconditioner for C 0 2 Interior Penalty Methods for Cahn - Hilliard Equations 3
نویسنده
چکیده
We study a two-level additive Schwarz preconditioner for C0 interior penalty 7 methods for a biharmonic problem with essential and natural boundary conditions with Cahn8 Hilliard type. We show that the condition number of the preconditioned system is bounded 9 by C(1+(H3/δ 3)), where H is the typical diameter of a subdomain, δ measures the overlap 10 among the subdomains, and the positive constant C is independent of the mesh sizes and the 11 number of subdomains. 12
منابع مشابه
A Two-Level Additive Schwarz Preconditioner for C 0 Interior Penalty Methods for Cahn-Hilliard Equations
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1 Department of Mathematics and Center for Computation & Technology, Louisiana State 5 University, Baton Rouge, LA 70803, USA. [email protected] 6 2 Department of Mathematics and Center for Computation & Technology, Louisiana State 7 University, Baton Rouge, LA 70803, USA. [email protected] 8 3 Department of Mathematics and Center for Computation & Technology, Louisiana State 9 University, B...
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