TY - JOUR
T1 - Approximation on the hexagonal grid of the Dirichlet problem for Laplace’s equation
AU - Dosiyev, Adiguzel A.
AU - Celiker, Emine
PY - 2014/3/28
Y1 - 2014/3/28
N2 - The fourth order matching operator on the hexagonal grid is constructed. Its application to the interpolation problem of the numerical solution obtained by hexagonal grid approximation of Laplace’s equation on a rectangular domain is investigated. Furthermore, the constructed matching operator is applied to justify a hexagonal version of the combined Block-Grid method for the Dirichlet problem with corner singularity. Numerical examples are illustrated to support the analysis made.
AB - The fourth order matching operator on the hexagonal grid is constructed. Its application to the interpolation problem of the numerical solution obtained by hexagonal grid approximation of Laplace’s equation on a rectangular domain is investigated. Furthermore, the constructed matching operator is applied to justify a hexagonal version of the combined Block-Grid method for the Dirichlet problem with corner singularity. Numerical examples are illustrated to support the analysis made.
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-84900344807&origin=resultslist&sort=plf-f&src=s&st1=Approximation+on+the+hexagonal+grid+of+the+Dirichlet+problem+for+Laplace%e2%80%99s+equation&sid=e422fb1d36a8668d7ae3dc444acaa734&sot=b&sdt=b&sl=90&s=TITLE%28Approximation+on+the+hexagonal+grid+of+the+Dirichlet+problem+for+Laplace%e2%80%99s+equation%29&relpos=0&citeCnt=8&searchTerm=
U2 - 10.1186/1687-2770-2014-73
DO - 10.1186/1687-2770-2014-73
M3 - Article
SN - 1687-2762
VL - 2014
JO - Boundary Value Problems
JF - Boundary Value Problems
M1 - 73
ER -