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 -