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Volume 3, Issue 4
The Iterative Accelerative Method of Finite Element Approximation for the System $u=∑ u_j (\frac{∂ u}{∂ x_j})+f$

Sheng-Jiang Cheng

J. Comp. Math., 3 (1985), pp. 315-319.

Published online: 1985-03

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  • Abstract

In this paper we use an iterative method to get an approximate solution $u^n$ and $\bar{u}^n$ which approximate the exact solution $u$ with the error estimates $\|u-u^n\|+ch\|u-u^n\|_1+\|u-\bar{u}^n\|_1\leq ch^{n+2}$.

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@Article{JCM-3-315, author = {Sheng-Jiang Cheng}, title = {The Iterative Accelerative Method of Finite Element Approximation for the System $u=∑ u_j (\frac{∂ u}{∂ x_j})+f$}, journal = {Journal of Computational Mathematics}, year = {1985}, volume = {3}, number = {4}, pages = {315--319}, abstract = {

In this paper we use an iterative method to get an approximate solution $u^n$ and $\bar{u}^n$ which approximate the exact solution $u$ with the error estimates $\|u-u^n\|+ch\|u-u^n\|_1+\|u-\bar{u}^n\|_1\leq ch^{n+2}$.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9627.html} }
TY - JOUR T1 - The Iterative Accelerative Method of Finite Element Approximation for the System $u=∑ u_j (\frac{∂ u}{∂ x_j})+f$ AU - Sheng-Jiang Cheng JO - Journal of Computational Mathematics VL - 4 SP - 315 EP - 319 PY - 1985 DA - 1985/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9627.html KW - AB -

In this paper we use an iterative method to get an approximate solution $u^n$ and $\bar{u}^n$ which approximate the exact solution $u$ with the error estimates $\|u-u^n\|+ch\|u-u^n\|_1+\|u-\bar{u}^n\|_1\leq ch^{n+2}$.

Sheng-Jiang Cheng. (1985). The Iterative Accelerative Method of Finite Element Approximation for the System $u=∑ u_j (\frac{∂ u}{∂ x_j})+f$. Journal of Computational Mathematics. 3 (4). 315-319. doi:
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