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- W2100808522 abstract "We study a semilinear parabolic partial differential equation of second order in a bounded domain Ω ⊂ ℝN, with nonstandard boundary conditions (BCs) on a part Γnon of the boundary ∂Ω. Here, neither the solution nor the flux are prescribed pointwise. Instead, the total flux through Γnon is given, and the solution along Γnon has to follow a prescribed shape function, apart from an additive (unknown) space-constant α(t). We prove the well-posedness of the problem, provide a numerical method for the recovery of the unknown boundary data, and establish the error estimates. © 2003 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 19: 167–191, 2003" @default.
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- W2100808522 date "2003-02-04" @default.
- W2100808522 modified "2023-09-24" @default.
- W2100808522 title "Semilinear parabolic problem with nonstandard boundary conditions: Error estimates" @default.
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- W2100808522 doi "https://doi.org/10.1002/num.10035" @default.
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