Remarks on the boundary element method for strongly nonlinear problems
1993 ◽
Vol 34
(4)
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pp. 419-438
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Keyword(s):
AbstractRecently in several papers the boundary element method has been applied to non-linear problems. In this paper we extend the analysis to strongly nonlinear boundary value problems. We shall prove the convergence and the stability of the Galerkin method in Lp spaces. Optimal order error estimates in Lp space then follow. We use the theory of A-proper mappings and monotone operators to prove convergence of the method. We note that the analysis includes the u4 -nonlinearity, which is encountered in heat radiation problems.
2002 ◽
Vol 2002.15
(0)
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pp. 797-798
Keyword(s):
1992 ◽
Vol 29
(20)
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pp. 2503-2525
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2014 ◽
Vol 50
(2)
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pp. 77-80
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Keyword(s):
2020 ◽
Vol 119
◽
pp. 189
1999 ◽
Vol 23
(5-6)
◽
pp. 365-373
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2005 ◽
Vol 10
(7)
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pp. 725-735
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Keyword(s):