کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
471088 698589 2014 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Convergence rates of the DPG method with reduced test space degree
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Convergence rates of the DPG method with reduced test space degree
چکیده انگلیسی

This paper presents a duality theorem of the Aubin–Nitsche type for discontinuous Petrov–Galerkin (DPG) methods. This explains the numerically observed higher convergence rates in weaker norms. Considering the specific example of the mild-weak (or primal) DPG method for the Laplace equation, two further results are obtained. First, the DPG method continues to be solvable even when the test space degree is reduced, provided it is odd. Second, a non-conforming method of analysis is developed to explain the numerically observed convergence rates for a test space of reduced degree.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 68, Issue 11, December 2014, Pages 1550–1561
نویسندگان
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