کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
472553 698730 2013 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Two-level additive preconditioners for edge element discretizations of time-harmonic Maxwell equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Two-level additive preconditioners for edge element discretizations of time-harmonic Maxwell equations
چکیده انگلیسی

Two-level additive preconditioners are presented for edge element discretizations of time-harmonic Maxwell equations. The key is to construct a special “coarse mesh” space, which adds the kernel of the curl-operator in a fine space to a coarse mesh space, to solve the original problem, and then uses the fine mesh space to solve the H(curl)-elliptic problem. It is shown that the generalized minimal residual (GMRES) method applied to the preconditioned system converges uniformly provided that the coarsest mesh size is reasonably small (but independent of the fine mesh size) and the parameter for the “coarse mesh” space solver is sufficiently large. Numerical experiments show the efficiency of the proposed approach.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 66, Issue 4, September 2013, Pages 432–440
نویسندگان
, , ,