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Discrete Stability of DPG Methods.
~
Harb, Ammar.
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Discrete Stability of DPG Methods.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Discrete Stability of DPG Methods./
作者:
Harb, Ammar.
出版者:
Ann Arbor : ProQuest Dissertations & Theses, : 2016,
面頁冊數:
112 p.
附註:
Source: Dissertation Abstracts International, Volume: 77-12(E), Section: B.
Contained By:
Dissertation Abstracts International77-12B(E).
標題:
Applied mathematics. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10129064
ISBN:
9781339870427
Discrete Stability of DPG Methods.
Harb, Ammar.
Discrete Stability of DPG Methods.
- Ann Arbor : ProQuest Dissertations & Theses, 2016 - 112 p.
Source: Dissertation Abstracts International, Volume: 77-12(E), Section: B.
Thesis (Ph.D.)--Portland State University, 2016.
This dissertation 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, for triangular meshes, 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. Finally, for rectangular meshes, the test space is reduced, yet the convergence is recovered regardless of parity.
ISBN: 9781339870427Subjects--Topical Terms:
2122814
Applied mathematics.
Discrete Stability of DPG Methods.
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