| 1. | Research on a solution of elliptic boundar
利用增生算子理论研究一类椭圆边值问题解的存在性 |
| 2. | Existence and multiplicity of positive radial solutions for a kind of semilinear elliptic bvp s
一类半线性椭圆边值问题的正对径解的存在性与多解性 |
| 3. | Next , in part two , we discuss the galerkin method for elliptic value problems and obtain superconvergent results of derivative by least - square processing
其次，第二部分讨论了椭圆边值问题的galerkin解法，并通过最小二乘处理可获得导数的超收敛结果。 |
| 4. | In this paper , based on a two - grid approach a multilevel linearization approach and a new cascadic multigrid method is proposed for the second order nonlinear elliptic boundary value problems
本文基于两网格离散技巧，对二阶非线性椭圆边值问题提出了多重网格线性化算法和一类新型的瀑布型多重网格法。 |
| 5. | In this paper , through the idea of domain decomposition method and the theory of natural boundary reduction , we study overlapping domain decomposition method and non - overlapping domain decomposition method for elliptic boundary value problems in an infinite domain
本文借助区域分解思想并基于自然边界归化理论，研究无穷凹角区域椭圆边值问题的重叠型和非重叠型区域分解算法。 |
| 6. | Our purpose is to set up a new algorithm which is easy to solve the elliptic unilateral problems . using the switching algorithm an unilateral problem is reacted as a bilateral problem . as known , the bem is very effective in solving the bilateral problems
开关算法特别适用于单侧问题的迭代求解，它将单侧问题化归为一般的边值问题；而边界元方法是解决一般的椭圆边值问题的有利工具。 |
| 7. | The main task of this paper is to investigate the least - squares mixed method for the elliptic boudary - value problems . by introducing the projections and duality problems , we do some analysis for the approximations and finally obtain the general superconvergence results
本文的主要工作就是研究椭圆边值问题的最小二乘混合有限元方法，通过引进投影算子和对偶问题进行收敛性分析，最后得到了超收敛结果。 |
| 8. | For a class of quadratic finite element diseretization systems of an elliptic boundary problem with jump coefficients under the unstructured quadrilateral grids , we are concerned with two kinds of quadratic lagrangian finite element equations , by analyzing the relationship between the linear finite element and quadratic finite element basis functions , a hew amg method is designed
摘要针对一类带间断系数的椭圆边值问题，在非结构四边形剖分下，讨论了两种二次拉格朗日有限元方程的代数多重网格法，通过利用双线性元和二次元基函数之间的表示关系，给出了一种新的网格粗化算法和构造提升算子的代数途径。 |
| 9. | There are many papers ( cf [ l ] - [ 3 ] ) have studied the method and error estimate for boundary integeral equation and elliptic boundary value problems , and obtain some superconvergent results by varied post - processings such as interpolation , average and extrapolation etc . in this paper , we mainly study the galerkin solution for first - kind boundary integeral equation and elliptic boundary value preblem . further more we can obtain superconvergence results by ( l _ ( 2 ) project ion ) least - squares processing for derivative of elliptic boundary value problems
对于边界积分方程与椭圆边值问题的解法及误差估计已有很多文章(参[ 1 ] - [ 3 ] )研究，并且通过各种后处理如插值、平均、外推等得到一系列的超收敛结果，本文则着重探讨一型边界积分方程galerkin解通过l ~ 2投影(最小二乘)算子处理后以及椭圆边值问题的导数进行l ~ 2投影(最小二乘法)处理后可获得超收敛结果。 |
| 10. | In particular , its application to partial differential equation , which is concerned by more and more mathematicians , is a very active branch in mathematics research at present . for example , the calderon - zygmund operators of the third era and t ( 1 ) , t ( b ) theorem offer the theoretic base of potential method to solve a class of elliptic boundary problems in non smooth domains [ 46 ] ; on the other hand , the lp - lq estimates and space - time estimates of the linear evolution equations offer the nonlinear evolution equations new work spaces , which is established by the estimates of oscillatory integral and potential
例如第三代calderon - zygmund算子及t ( 1 ) ， t ( b )定理，对于非光滑区域上的一类椭圆边值问题，提供了用位势求解的理论基础[ 46 ] ；又如以振荡积分估计及位势估计为基础，建立线性发展方程的l ~ p - l ~ q估计以及相应的时空估计，为研究发展型方程提供了新的工作空间，这方面的工作参见t |
