TY - JOUR
T1 - The Alternating-direction Implicit Characteristic Finite Element Methods for the Three-dimensional Generalized Nerve Conduction Equation
AU - Zhiyue Zhang 
JO - Journal of Partial Differential Equations
VL - 3
SP - 207
EP - 219
PY - 2001
DA - 2001/08
SN - 14
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5480.html
KW - Nerve conduction equation
KW - the alternating-direction implicit
KW - characteristic finite element
KW - optimal order estimate in L²
AB -  A complete convergence nnalysis is given for two-level scheme of the alternating-direction implicit characteristic finite element method for the approximate solution of the three-dimensional generalized nerve conduction equation. By use of the calculation of vector product, H^{-1} norm estimates, and a priori estimate theory and technique, the optimal order estimate in L² is obtained.