Numerical verifications for solutions to elliptic equations using residual iterations with a higher order finite element
Numerical verifications for solutions to elliptic equations using residual iterations with a higher order finite element
复制标题
使用高阶有限元残差迭代对椭圆方程解的数值验证
DOI：
10.1016/0377-0427(94)00096-j
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发表时间：
1995
影响因子：
2.4
通讯作者：
M. Nakao
中科院分区：
文献类型：
--
作者：
N. Yamamoto;M. Nakao
用Nakao（1988，1989）等描述的方法验证弱非线性椭圆方程的解，当方程的右端很大时，有时很难实现。为了克服这些困难，Nakao（1993）引入了一种具有近似解的残差迭代技术。在本文中，我们提出了一个后验方法的剩余迭代，并表明，一个显着的改善效率和精度的验证时，我们可以得到一个更高的阶有限元。
The verifications of solutions to weakly nonlinear elliptic equations by the method described e.g. by Nakao (1988, 1989), etc. are sometimes hardly accomplished when the right-hand sides of the equations are very large. To overcome such difficulties, a residual iteration technique with approximate solution was introduced by Nakao (1993). In the present paper, we propose an a posteriori method for the residual iteration, and show that a remarkable improvement in efficiency and in accuracy of the verification can be obtained when we use a higher order finite element.