TY - JOUR
T1 - Arbitrary dimension convection–diffusion schemes for space–time discretizations
AU - Bank, Randolph E.
AU - Vassilevski, Panayot S.
AU - Zikatanov, Ludmil T.
N1 - Publisher Copyright:
© 2016 Elsevier B.V.
PY - 2017/1/15
Y1 - 2017/1/15
N2 - This note proposes embedding a time dependent PDE into a convection–diffusion type PDE (in one space dimension higher) with singularity, for which two discretization schemes, the classical streamline-diffusion and the EAFE (edge average finite element) one, are investigated in terms of stability and error analysis. The EAFE scheme, in particular, is extended to be arbitrary order which is of interest on its own. Numerical results, in combined space–time domain demonstrate the feasibility of the proposed approach.
AB - This note proposes embedding a time dependent PDE into a convection–diffusion type PDE (in one space dimension higher) with singularity, for which two discretization schemes, the classical streamline-diffusion and the EAFE (edge average finite element) one, are investigated in terms of stability and error analysis. The EAFE scheme, in particular, is extended to be arbitrary order which is of interest on its own. Numerical results, in combined space–time domain demonstrate the feasibility of the proposed approach.
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U2 - 10.1016/j.cam.2016.04.029
DO - 10.1016/j.cam.2016.04.029
M3 - Article
AN - SCOPUS:84975491797
SN - 0377-0427
VL - 310
SP - 19
EP - 31
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
ER -