Title | ||
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L ∞-estimates of mixed finite element methods for general nonlinear optimal control problems. |
Abstract | ||
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This paper investigates L ∞-estimates for the general optimal control problems governed by two-dimensional nonlinear elliptic equations with pointwise control constraints using mixed finite element methods. The state and the co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant functions. The authors derive L ∞-estimates for the mixed finite element approximation of nonlinear optimal control problems. Finally, the numerical examples are given. |
Year | DOI | Venue |
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2012 | 10.1007/s11424-011-9215-9 | J. Systems Science & Complexity |
Keywords | Field | DocType |
L∞-error estimates, mixed finite element methods, nonlinear elliptic equations, optimal control problems, pointwise control constraints | Discontinuous Galerkin method,Mathematical optimization,Optimal control,Nonlinear system,Mathematical analysis,Extended finite element method,Finite element method,Mathematics,Piecewise,Mixed finite element method,Pointwise | Journal |
Volume | Issue | ISSN |
25 | 1 | 1559-7067 |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
tang | 1 | 6 | 3.27 |
Zuliang Lu | 2 | 0 | 0.34 |