Results 1 to 10 of about 23,758,155 (292)
IEEE Access, 2022 We use the fully discrete interpolation coefficient mixed finite element methods to solve the semi-linear parabolic optimal control problems. The space discretization of the state variable is separated using interpolation coefficient mixed finite ...
Jing Wang +3 more
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Evolution of water resource allocation in the river basin between administrators and managers
Hydrology Research, 2022 The reasonable allocation of water resources runs through the main links of regional water resource planning and management, which is a complex decision-making issue, ensures the sustainable development and utilization of water resources, and makes a ...
Zuliang Lu +5 more
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AIMS Mathematics, 2022 This paper investigates the adaptive finite element method for nonlinear optimal control problem, and the research content of reference ([21] H. Leng and Y. Chen, 2017) is extended accordingly.
Zuliang Lu +3 more
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AIMS Mathematics, 2021 This paper investigates the adaptive finite element method for an optimal control problem governed by a bilinear elliptic equation. We establish the finite element discrete scheme for the bilinear optimal control problem and use a dual argument ...
Zuliang Lu +5 more
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AIMS Mathematics, 2021 This paper discusses some a priori error estimates of bilinear elliptic optimal control problems based on the finite volume element approximation. A case-based numerical example serves to discuss with optimal $ L^2 $-norm error estimates and $ L^{\infty}
Zuliang Lu +5 more
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A differential game analysis of multi-regional coalition for transboundary pollution problems
Ecological Indicators, 2022 Basin water pollution control problem has become a real and serious challenge to build an environment-friendly and resource-conserving society. Since the water environment is quasi-public property, regional cooperation across upstream and downstream ...
Zuliang Lu +5 more
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A posteriori error estimates of hp spectral element method for parabolic optimal control problems
AIMS Mathematics, 2022 In this paper, we investigate the spectral element approximation for the optimal control problem of parabolic equation, and present a hp spectral element approximation scheme for the parabolic optimal control problem.
Zuliang Lu +5 more
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AIMS Mathematics, 2023 In this paper, we study the finite volume element method of bilinear parabolic optimal control problem. We will use the optimize-then-discretize approach to obtain the semi-discrete finite volume element scheme for the optimal control problem. Under some
Zuliang Lu +3 more
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Superconvergence for optimal control problems governed by semilinear parabolic equations
AIMS Mathematics, 2022 In this paper, we first investigate optimal control problem for semilinear parabolic and introduce the standard $ L^2(\Omega) $-orthogonal projection and the elliptic projection.
Chunjuan Hou +4 more
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Error estimates of variational discretization for semilinear parabolic optimal control problems
AIMS Mathematics, 2021 In this paper, variational discretization directed against the optimal control problem governed by nonlinear parabolic equations with control constraints is studied.
Chunjuan Hou +3 more
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