Results 11 to 20 of about 427,822 (290)
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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Dynamic Design of a Quad-Stable Piezoelectric Energy Harvester via Bifurcation Theory
Sensors, 2022 The parameter tuning of a multi-stable energy harvester is crucial to enhancing harvesting efficiency. In this paper, the bifurcation theory is applied to quantitatively reveal the effects of structural parameters on the statics and dynamics of a quad ...
Qichang Zhang +4 more
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Frontiers in Materials, 2022 Wind energy is a typical foreseeable renewable energy source. This study constructs and optimizes a variable cross-section cantilever-based piezoelectric energy harvester for low-speed wind energy harvesting.
Kaiyuan Zhao +4 more
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A Granular System of Ellipses under Linear Shear
EPJ Web of Conferences, 2017 Shear of granular systems of disks (in 2D) and spheres (3D) has been studied extensively. However, less is known about systems of non-spherical particles, i.e., ellipses and polygons, etc.
Wang Dong, Zheng Hu, Behringer Robert P.
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Mathematics, 2021 The direct strong-form collocation method with reproducing kernel approximation is introduced to efficiently and effectively solve the natural convection problem within a parallelogrammic enclosure.
Judy P. Yang, Yi-Shan Liao
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Journal of Inequalities and Applications, 2019 In this paper, multiple stability and instability of Cohen–Grossberg neural network with unbounded time-varying delays are studied. Based on the geometrical configuration of activation functions and some rigorous mathematical analysis, some algebraic ...
Yanheng Chen, Songfang Jia
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Nonlinear elliptic systems [PDF]
Anais da Academia Brasileira de Ciências, 2000 From author's abstract: We treat the question of the existence of solutions of boundary value problems for systems of nonlinear elliptic equations of the form \[ -\Delta u=f(x,u,v,\nabla u,\nabla v),\;-\Delta v=g(x,u,v,\nabla u,\nabla v),\;\text{in} \Omega .
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A posteriori error estimates of spectral method for nonlinear parabolic optimal control problem
Journal of Inequalities and Applications, 2018 In this paper, we investigate the spectral approximation of optimal control problem governed by nonlinear parabolic equations. A spectral approximation scheme for the nonlinear parabolic optimal control problem is presented. We construct a fully discrete
Lin Li +4 more
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