• 椭圆方程生成数值网格一种贴体网格

    Numerical grids generated by solving elliptical equations are boundary-fitted.

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  • 证明一类非线性椭圆型方程径向对称唯一性

    Uniqueness of radially symmetric solutions for a class of nonlinear elliptic equations is proved.

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  • 本文讨论具有转向的奇摄动椭圆型方程问题

    The singularly perturbed elliptic equation boundary value problem with turning point is considered.

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  • 本文研究一个半线性椭圆型方程整体存在性问题。

    In this paper we study the existence of positive global solutions for a semilinear elliptic equation.

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  • 第三中证明了线性椭圆型方程奇异能量估计

    In chapter 3, we study the energy estimate of singular positive solutions for a class quasilinear elliptic equations.

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  • 多重网格求解椭圆型方程问题一种快速迭代算法

    The multigrid method is an efficient numerical iteration algorithm for solving elliptic variational problems.

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  • 讨论非线性椭圆方程在多连通区域上间断问题

    The article deals with the discontinuous boundary value problem for nonlinear elliptic complex equations of second order.

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  • 讨论非线性椭圆型方程在多连通区域上的间断边值问题。

    The method of the composition of some linear equations of second order;

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  • 这些结果能用研究椭圆型方程问题径向对称存在性

    These results can be applied to the study of the existence of the radial solutions for the elliptic boundary value systems.

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  • 本文讨论了一类满足初值条件非线性椭圆型方程整体存在性

    In this paper, we prove existence of positive entire solutions of a class quasi linear elliptic systems.

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  • 研究外部区域线性椭圆型方程具有非线性边界条件问题。

    This paper aims at studying the boundary value for second order quasilinear elliptic equations with nonlinear boundary condition in exterior domain.

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  • 本文研究了一类具有非局部边界条件奇摄动半线性椭圆型方程问题

    A class of initial boundary value problems for the singularly perturbed semilinear elliptic equations with nonlocal boundary conditions are considered.

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  • 本文利用移动球面证明一类线性椭圆型方程存在不存在性。

    Existence and nonexistence of positive solutions for a class of semilinear elliptic systems are considered via the method of moving spheres.

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  • 本文对一般的线性椭圆型方程满足内部条件时,证明极值原理

    In this paper, the strong extremal principles have been proved for second or der linear elliptic equations on the domain which satisfies an interior cone condition.

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  • 建立非线往退缩椭圆方程比较原理给出方程组边值问题耦合解的存在性定理

    A comparison principle for nonlinear degenerate elliptic equation is derived, and a existence theorem of the coupled weak quasi-solutions of BVP for nonlinear degenerate elliptic systems is given.

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  • 第二我们证明拟线性椭圆型方程存在无穷多个奇异对称,并且满足先验估计

    The main contents are as follows: in chapter 2, we proved that there exists infinitely many singular positive radial solutions which satisfy apriori estimates for quasilinear elliptic equations.

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  • 利用多重网格思想,构造出一种求解椭圆型方程问题预处理迭代格式,并给出了收敛证明

    By use of multigrid method, this paper proposes a preconditioned iteration method solving the boundary value problem of elliptic equations, the proof of convergence is given.

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  • 文章主要建立了四阶半线性椭圆型方程极大值原理,并得到相应边值问题的解的唯一性定理。

    In this paper, the maximum principles for solutions of four classes of semi-linear ellipic equations are established.

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  • 文章主要建立了四类四阶线性椭圆型方程极大原理得到了相应边值问题解的唯一性定理

    The result that the blow-up set of the problem is a compact subset was proved by the reflective principle and the maximum principle, and the blow-up rate of the solutions was obtained.

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  • 本文中,我们提出了一个具有临界指数非线性椭圆型方程问题,证明了狄氏问题的径向存在性。

    In this paper a problem of nonlinear elliptic equations involving two kinds of critical exponents is given, and also the existence of positive radiate solutions of the Dirichet problem is proved.

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  • 本文讨论一类系数临界指数椭圆型方程,主要考虑上述问题的非平凡存在性,包括解与非存在性。

    In this paper, we study the existence of multiple nontrivial solutions for the variable coefficient elliptic equations with critical Sobolev exponents.

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  • 给出这些问题提法,然后使用紧性原理和极值原理证明上述二阶椭圆型方程存在性和唯一性

    Fristly the boundary value problems for the equations is formulated, and then by using the compactness principle, the existence of solutions for the above problems is proved.

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  • 讨论了一非线性椭圆方程问题稳定性这个结果是借助于有关边值问题解的先验估计而导出的。

    This paper discusses the stability of solution of the oblique derivative problem for the nonlinear elliptic system of first order equations.

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  • 自适应网格80年代兴起的通过求解椭圆方程的边问题数值生成网格方法任意形状的区域上求偏微分方程的数值解的一种非常有效的工具。

    Adaptive mesh method which raises in 80's is a new method to numerical generate grid by solving a boundary value problem of elliptic equation.

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  • 本文分片线性离散椭圆问题。用预处理共轭梯度法求解有限元方程

    In this paper, the elliptic problems are discreted by linear elements, the finite element system are solved by PCG method.

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  • 提出椭圆型缓坡方程一种并行数值模拟方法微机群集并行系统进行了数值实现。

    A parallel solution method is proposed for the simulation of the elliptic mild slope equation and implemented on a personal computer cluster.

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  • 研究一类最优控制问题求解方法状态变量一种椭圆微分方程

    The algorithm for a class of optimal control problem where the state variables are the weak solution of an elliptic partial differential equation is studied.

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  • 研究一类最优控制问题求解方法状态变量一种椭圆微分方程

    The algorithm for a class of optimal control problem where the state variables are the weak solution of an elliptic partial differential equation is studied.

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