کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
500299 863081 2007 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Restricted overlapping balancing domain decomposition methods and restricted coarse problems for the Helmholtz problem
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Restricted overlapping balancing domain decomposition methods and restricted coarse problems for the Helmholtz problem
چکیده انگلیسی

Overlapping balancing domain decomposition methods and their combination with restricted additive Schwarz methods are proposed for the Helmholtz equation. These new methods also extend previous work on non-overlapping balancing domain decomposition methods toward simplifying their coarse problems and local solvers. They also extend restricted Schwarz methods, originally designed to overlapping domain decomposition and Dirichlet local solvers, to the case of non-overlapping domain decomposition and/or Neumann and Sommerfeld local solvers. Finally, we introduce coarse spaces based on partitions of unity and planes waves, and show how oblique projection coarse problems can be designed from restricted additive Schwarz methods. Numerical tests are presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 196, Issue 8, 20 January 2007, Pages 1507–1514
نویسندگان
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