A Convergent Adaptive Finite Element Method for Cathodic Protection
2017 ◽
Vol 17
(1)
◽
pp. 105-120
◽
Keyword(s):
AbstractIn this work, we propose and analyze an adaptive finite element method for a steady-state diffusion equation with a nonlinear boundary condition arising in cathodic protection. Under a general assumption on the marking strategy, we show that the algorithm generates a sequence of discrete solutions that converges strongly to the exact solution in ${H^{1}(\Omega)}$ and the sequence of error estimators has a vanishing limit. Numerical results show clearly the convergence and efficiency of the adaptive algorithm.
2019 ◽
Vol 53
(5)
◽
pp. 1645-1665
2009 ◽
Vol 32
(16)
◽
pp. 2148-2159
◽
2013 ◽
Vol 387
◽
pp. 159-163
1999 ◽
Vol 79
(S1)
◽
pp. 143-146
◽
2007 ◽
Vol 107
(3)
◽
pp. 455-471
◽
1995 ◽
Vol 9
(4)
◽
pp. 708-714
◽
2001 ◽
Vol 53
(1)
◽
pp. 147-180
◽