We give an elementary derivation of an extension of the Ritz method to trial functions that do not satisfy essential boundary conditions. As in the Babuška-Brezzi approach boundary conditions are treated as variational constraints and Lagrange multipliers are used to remove them. However, we avoid the saddle point reformulation of the problem and therefore do not have to deal with the Babuška-Brezzi inf-sup condition. In higher dimensions boundary weights are used to approximate the boundary conditions, and the assumptions in our convergence proof are stated in terms of completeness of the trial functions and of the boundary weights. These assumptions are much more straightforward to verify than the Babuška-Brezzi condition. We also discuss limitations of the method and implementation issues that follow from our analysis and examine a number of examples, both analytic and numerical.
from #AlexandrosSfakianakis via Alexandros G.Sfakianakis on Inoreader http://ift.tt/1YNhixi
via IFTTT
Εγγραφή σε:
Σχόλια ανάρτησης (Atom)
Δημοφιλείς αναρτήσεις
-
Objectives To optimise medical students’ early clerkship is a complex task since it is conducted in a context primarily organised to take ca...
-
Abstract Purpose Overcoming the flaws of current data management conditions in head and neck oncology could enable integrated informatio...
-
1 abqls-210rm.html Read the latest Journal of Clinical Neurophysiology - Vol. 37, No. 1, January 2020.eml 2 agx3v-nxz96.html Read the late...
-
Cone-beam CT (CBCT) is a widely used intra-operative imaging modality in image-guided radiotherapy and surgery. A short scan followed by a f...
-
by Yanwei Li, Haifeng Liu, Wei Zeng, Jing Wei An increase in the osmolarity of tears induced by excessive evaporation of the aqueous tear p...
-
http://ift.tt/2p41efZ
-
Abstract Bromodomain proteins function as epigenetic readers that recognize acetylated histone tails to facilitate the transcription of t...
-
Abstract In present work, the electronic structure and optical properties of the FeX 2 (X = S, Se, Te) compounds have been evaluated by t...
Δεν υπάρχουν σχόλια:
Δημοσίευση σχολίου