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Volume 28, Issue 1
Multi-Level Adaptive Corrections in Finite Dimensional Approximations

Aihui Zhou

DOI: 10.4208/jcm.2009.09-m1003

J. Comp. Math., 28 (2010), pp. 45-54.

Published online: 2010-02

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  • Abstract

Based on the Boolean sum technique, we introduce and analyze in this paper a class of multi-level iterative corrections for finite dimensional approximations. This type of multi-level corrections is adaptive and can produce highly accurate approximations. For illustration, we present some old and new finite element correction schemes for an elliptic boundary value problem.  

  • Keywords

Adaptive, Boolean sum, Correction, Finite dimensional, Multi-level.

  • AMS Subject Headings

65B05, 65D15, 65J05, 65N15, 65N30.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-28-45, author = {Aihui Zhou}, title = {Multi-Level Adaptive Corrections in Finite Dimensional Approximations}, journal = {Journal of Computational Mathematics}, year = {2010}, volume = {28}, number = {1}, pages = {45--54}, abstract = {

Based on the Boolean sum technique, we introduce and analyze in this paper a class of multi-level iterative corrections for finite dimensional approximations. This type of multi-level corrections is adaptive and can produce highly accurate approximations. For illustration, we present some old and new finite element correction schemes for an elliptic boundary value problem.  

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2009.09-m1003}, url = {http://global-sci.org/intro/article_detail/jcm/8506.html} }
TY - JOUR T1 - Multi-Level Adaptive Corrections in Finite Dimensional Approximations AU - Aihui Zhou JO - Journal of Computational Mathematics VL - 1 SP - 45 EP - 54 PY - 2010 DA - 2010/02 SN - 28 DO - http://doi.org/10.4208/jcm.2009.09-m1003 UR - https://global-sci.org/intro/article_detail/jcm/8506.html KW - Adaptive, Boolean sum, Correction, Finite dimensional, Multi-level. AB -

Based on the Boolean sum technique, we introduce and analyze in this paper a class of multi-level iterative corrections for finite dimensional approximations. This type of multi-level corrections is adaptive and can produce highly accurate approximations. For illustration, we present some old and new finite element correction schemes for an elliptic boundary value problem.  

Aihui Zhou. (2010). Multi-Level Adaptive Corrections in Finite Dimensional Approximations. Journal of Computational Mathematics. 28 (1). 45-54. doi:10.4208/jcm.2009.09-m1003
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