A posteriori error estimates for elliptic problems with Dirac delta source terms
A posteriori error estimates for elliptic problems with Dirac delta source terms
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DOI：
10.1007/s00211-006-0041-2
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发表时间：
2006-11
影响因子：
2.1
通讯作者：
R. Araya;Edwin M. Behrens;R. Rodríguez
中科院分区：
文献类型：
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作者：
R. Araya;Edwin M. Behrens;R. Rodríguez
本文的目的是对具有Dirac δ源项的Poisson问题引入残差型后验误差估计，在L p范数和W1，p范数下。证明了估计量对于相应的误差范数具有全局上界和局部下界。他们被用来指导自适应程序，这是实验表明，导致最佳的收敛顺序。
The aim of this paper is to introduce residual type a posteriori error estimators for a Poisson problem with a Dirac delta source term, inLpnorm and W1,pseminorm. The estimators are proved to yield global upper and local lower bounds for the corresponding norms of the error. They are used to guide adaptive procedures, which are experimentally shown to lead to optimal orders of convergence.