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Volume 2, Issue 2
A Numerical Method for Solving Parabolic Equations Based on the Use of a Multigrid Techniques

A. Karageorghis & D. Lesnic

DOI: 10.4208/aamm.09-m0962

Int. J. Numer. Anal. Mod. B, 2 (2011), pp. 183-199

Published online: 2011-02

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  • Abstract
A numerical method for solving parabolic equations based on multigrid techniques is proposed. The stability, approximation and conservation properties of the method are investigated theoretically and numerically for several initial-boundary model problems for the heat conduction equation. The use of the method makes it possible to considerably reduce the computational work as compared to either implicit or explicit schemes. A parallel implementation of the method is presented.
  • Keywords

Stokes flow method of fundamental solutions regularization streamfunction stress force

  • AMS Subject Headings

33A65 65N35 65N22 65F05 35J05.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAMB-2-183, author = {A. Karageorghis and D. Lesnic}, title = {A Numerical Method for Solving Parabolic Equations Based on the Use of a Multigrid Techniques}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2011}, volume = {2}, number = {2}, pages = {183--199}, abstract = {A numerical method for solving parabolic equations based on multigrid techniques is proposed. The stability, approximation and conservation properties of the method are investigated theoretically and numerically for several initial-boundary model problems for the heat conduction equation. The use of the method makes it possible to considerably reduce the computational work as compared to either implicit or explicit schemes. A parallel implementation of the method is presented.}, issn = {}, doi = {https://doi.org/10.4208/aamm.09-m0962}, url = {http://global-sci.org/intro/article_detail/ijnamb/307.html} }
TY - JOUR T1 - A Numerical Method for Solving Parabolic Equations Based on the Use of a Multigrid Techniques AU - A. Karageorghis & D. Lesnic JO - International Journal of Numerical Analysis Modeling Series B VL - 2 SP - 183 EP - 199 PY - 2011 DA - 2011/02 SN - 2 DO - http://doi.org/10.4208/aamm.09-m0962 UR - https://global-sci.org/intro/article_detail/ijnamb/307.html KW - Stokes flow KW - method of fundamental solutions KW - regularization KW - streamfunction KW - stress force AB - A numerical method for solving parabolic equations based on multigrid techniques is proposed. The stability, approximation and conservation properties of the method are investigated theoretically and numerically for several initial-boundary model problems for the heat conduction equation. The use of the method makes it possible to considerably reduce the computational work as compared to either implicit or explicit schemes. A parallel implementation of the method is presented.
A. Karageorghis and D. Lesnic. (2011). A Numerical Method for Solving Parabolic Equations Based on the Use of a Multigrid Techniques. International Journal of Numerical Analysis Modeling Series B. 2 (2). 183-199. doi:10.4208/aamm.09-m0962
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