A penalty/least-squares method for optimal control problems for first-order elliptic systems

Applied Mathematics and Computation

Volumn 107, Issue 1, 2000, Pages 57-75

  Gunzburger, Max D ^a   Lee, Hyung Chun ^b  

^a IOWA STATE UNIVERSITY   (United States)

^b Ajou University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041884404     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(99)00010-7     Document Type: Article

References (7)

1. R. Adams, Sobolev Spaces, Academic Press, New York, 1975.
2. S. Agmon, A. Douglis, L. Nirenberg, Estimates near the boundary for solution of elliptic partial differential equations satisfying general boundary conditions II, Comm. Pure Appl. Math. 17 (1964) 35-92.
3. P. Ciarlet, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, 1978.
4. C. Chang, M. Gunzburger, A finite element method for first-order elliptic systems in three dimensions, Appl. Math. Comp. 23 (1987) 171-184.
5. M. Gunzburger, H.-C. Lee, Analysis and approximation of optimal control problems for first-order elliptic systems in three dimensions, Appl. Math. Comp., 100 (1999) 49-70.
6. Y. Roitberg, A theorem about the complete set of isomorphisms for systems elliptic in the sense of Douglis and Nirenberg, Ukrain. Mat. Zh. (1975) 447-450.
7. K. Yosida, Functional Analysis, Springer, Berlin, 1965.