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.