An optimization theoretic approach and algorithm for the estimation of state-dependent coefficients in nonlinear elliptic equation is presented. It is based on a splitting method combined with convex analysis techniques, Convergence of the algorithm is established and numerical examples are included.
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Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, ItalyUniv Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy
Cirmi, G. Rita
D'Asero, Salvatore
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Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, ItalyUniv Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy
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Dhar El Mahraz Sidi Mohamed Ben Abdellah Univ, Fac Sci, Lab Math Anal & Applicat, Atlas Fes 1796, MoroccoDhar El Mahraz Sidi Mohamed Ben Abdellah Univ, Fac Sci, Lab Math Anal & Applicat, Atlas Fes 1796, Morocco
Azroul, Elhoussine
Khouakhi, Moussa
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Dhar El Mahraz Sidi Mohamed Ben Abdellah Univ, Fac Sci, Lab Math Anal & Applicat, Atlas Fes 1796, MoroccoDhar El Mahraz Sidi Mohamed Ben Abdellah Univ, Fac Sci, Lab Math Anal & Applicat, Atlas Fes 1796, Morocco
Khouakhi, Moussa
Yazough, Chihab
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Sidi Mohamed Ben Abdellah Univ, Fac Polydisciplinary Taza, LSI, BP 1223, Fes, MoroccoDhar El Mahraz Sidi Mohamed Ben Abdellah Univ, Fac Sci, Lab Math Anal & Applicat, Atlas Fes 1796, Morocco
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Seoul Natl Univ, Dept Math Sci, Seoul 151747, South KoreaSeoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
Byun, Sun-Sig
Wang, Lihe
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Univ Iowa, Dept Math, Iowa City, IA 52242 USA
Xian Jiaotong Univ, Coll Sci, Xian 710049, Peoples R ChinaSeoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea