考虑了二次梯度项的非线性双重介质模型。
A nonlinear dual-porosity model considering a quadratic gradient term is presented.
根据无约束最优化问题的梯度算法，提出了二次梯度算法，并证明了其收敛性。
In this paper, the gradient computational algorithm about unconditional extreme value is given.
考虑了二次梯度项影响的非线性径向流动问题的无限大地层和有界地层渗流模型。
The models of the nonlinear radial flow for the infinite and finite reservoirs including a quadratic gradient term were presented.
在非线性偏微分方程中，根据弱可压缩液体的假设，忽略二次梯度项，在试井较长时间内将产生误差。
According to the assumption of slightly compressible fluid, neglected the quadratic gradient term in nonlinear partial differential equation is usually lead to error.
采用椭球剖分策略剖分可行域为小的椭球，用投影次梯度算法解松弛二次规划问题的拉格朗日对偶问题，从而获得原问题的一个下界。
A projection subgradient algorithm for the Lagrangian dual problem of the relaxed quadratic problem is employed to general lower bounds of the optimal value for the original problem.
采用椭球剖分策略剖分可行域为小的椭球，用投影次梯度算法解松弛二次规划问题的拉格朗日对偶问题，从而获得原问题的一个下界。
A projection subgradient algorithm for the Lagrangian dual problem of the relaxed quadratic problem is employed to general lower bounds of the optimal value for the original problem.
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