کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1136613 1489137 2013 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Algebraic preconditioning analysis of the multilevel block incremental unknowns method for anisotropic elliptic operators
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Algebraic preconditioning analysis of the multilevel block incremental unknowns method for anisotropic elliptic operators
چکیده انگلیسی

Condition number of the block incremental unknowns (BIU) matrix associated to anisotropic operator ε∂2/∂x2+∂2/∂y2ε∂2/∂x2+∂2/∂y2 with 0<ε≪10<ε≪1 is analyzed; more general second-order anisotropic elliptic operators are also considered. Theoretical analyses show that the condition number of the BIU matrix is bounded by c⋅(h−1+εh−2)c⋅(h−1+εh−2) instead of O(h−2)O(h−2) with usual nodal unknowns where hh is the mesh size. In addition, we introduce a diagonal preconditioner such that the condition number of the BIU matrix is further reduced to O(1+4επ−2h−2)O(1+4επ−2h−2), which means that the condition number is optimal if ε=O(h2)ε=O(h2). Numerical experiments are performed to different examples and parameters, numerical results verify our theoretical analysis.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 57, Issues 3–4, February 2013, Pages 512–524
نویسندگان
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