Numerical Study of Inverse Source Problem for Internal Degenerate Parabolic Equation
2020 ◽
Vol 18
(01)
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pp. 2050032
Keyword(s):
This paper is devoted to numerical analysis of an inverse source problem in a degenerate parabolic equation. The aims of this work are to show the well-posedness of the discrete inverse problem and its convergence to the continuous one. For this, we reformulate first the encountered inverse problem to a regularized optimal control one. Then, we approximate our optimal control problem by finite element method and we show the existence of the discrete solution and its convergence to the continuous one. Finally, in order to confirm the efficiency of the proposed scheme, some numerical results are obtained using the augmented Lagrangian method.
2011 ◽
Vol 235
(15)
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pp. 4404-4417
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Keyword(s):
2015 ◽
Vol 39
(23-24)
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pp. 7537-7553
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2010 ◽
Vol 167
(1)
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pp. 16-29
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Keyword(s):
2017 ◽
Vol 173
(1)
◽
pp. 56-77
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2019 ◽
Vol 1205
◽
pp. 012008
2021 ◽
Vol 61
(3)
◽
pp. 388-402