On p-Robust Saturation on Quadrangulations
2020 ◽
Vol 20
(1)
◽
pp. 169-186
Keyword(s):
AbstractFor the Poisson problem in two dimensions, posed on a domain partitioned into axis-aligned rectangles with up to one hanging node per edge, we envision an efficient error reduction step in an instance-optimal hp-adaptive finite element method. Central to this is the problem: Which increase in local polynomial degree ensures p-robust contraction of the error in energy norm? We reduce this problem to a small number of saturation problems on the reference square, and provide strong numerical evidence for their solution.
2008 ◽
Vol 197
(51-52)
◽
pp. 4549-4558
◽
2016 ◽
Vol 37
(2)
◽
pp. 151-168
◽
2013 ◽
Vol 387
◽
pp. 159-163
2011 ◽
Vol 69
(3)
◽
pp. 534-549
◽
1999 ◽
Vol 79
(S1)
◽
pp. 143-146
◽
2007 ◽
Vol 107
(3)
◽
pp. 455-471
◽
1995 ◽
Vol 9
(4)
◽
pp. 708-714
◽