TY - JOUR
T1 - Application of the satisfying Babuska-Brezzi method to a two dimensional diffusion problem
AU - Kootwijk, C.M.
AU - Baaijens, F.P.T.
PY - 1993
Y1 - 1993
N2 - The satisfying Babuska—Brezzi(SBB) method is applied to a two-dimensional diffusion problem. Several interpolation schemes, both continuous and discontinuous, are investigated numerically. The superconvergence phenomenon observed in the one-dimensional case is not recovered in two dimensions. However, SBB does stabilize the numerical solution substantially, particularly for low-order interpolations.
AB - The satisfying Babuska—Brezzi(SBB) method is applied to a two-dimensional diffusion problem. Several interpolation schemes, both continuous and discontinuous, are investigated numerically. The superconvergence phenomenon observed in the one-dimensional case is not recovered in two dimensions. However, SBB does stabilize the numerical solution substantially, particularly for low-order interpolations.
U2 - 10.1016/0307-904X(93)90106-Q
DO - 10.1016/0307-904X(93)90106-Q
M3 - Article
SN - 0307-904X
VL - 17
SP - 184
EP - 193
JO - Applied Mathematical Modelling
JF - Applied Mathematical Modelling
IS - 4
ER -