TY - JOUR
AU - Liu, Jiangguo
AB - In this paper we utilize affine biquadratic elements and a two-step temporal discretization to develop a finite volume element method for parabolic problems on quadrilateral meshes. The method is proved to have an optimal order convergence rate in L2(0, T; H1()) under the asymptotically parallelogram mesh assumption. Numerical experiments that corroborate the theoretical analysis are also presented.
TI - A quadratic finite volume element method for parabolic problems on quadrilateral meshes
JF - IMA Journal of Numerical Analysis
DO - 10.1093/imanum/drp054
DA - 2011-07-28
UR - https://www.deepdyve.com/lp/oxford-university-press/a-quadratic-finite-volume-element-method-for-parabolic-problems-on-v8MfFHT9O0
SP - 1038
EP - 1061
VL - 31
IS - 3
DP - DeepDyve
ER -