Superconvergence analysis of flux computations for nonlinear problems
1989 ◽
Vol 40
(3)
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pp. 465-479
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Keyword(s):
In this paper we consider the error estimates for some boundary-flux calculation procedures applied to two-point semilinear and strongly nonlinear elliptic boundary value problems. The case of semilinear parabolic problems is also studied. We prove that the computed flux is superconvergent with second and third order of convergence for linear and quadratic elements respectively. Corresponding estimates for higher order elements may also be obtained by following the general line of argument.
1973 ◽
Vol 43
(1)
◽
pp. 241-249
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2008 ◽
Vol 109
(2)
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pp. 233-268
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1977 ◽
Vol 8
(1)
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pp. 53-63
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1987 ◽
Vol 67
(1)
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pp. 122-143
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2017 ◽
Vol 186
(4)
◽
pp. 745-776
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2008 ◽
Vol 339
(2)
◽
pp. 1386-1394
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2015 ◽
Vol 17
(1)
◽
pp. 43-64
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1992 ◽
Vol 115
(4)
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pp. 1031-1031
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