Viscous splitting approximation of mixed hyperbolic-parabolic convection-diffusion equations |
| |
Authors: | Steinar Evje Kenneth Hvistendahl Karlsen |
| |
Institution: | (1) Department of Mathematics, University of Bergen, Johs. Brunsgt. 12, N-5008 Bergen, Norway; e-mail: steinar.evje@mi.uib.no, kenneth.karlsen@mi.uib.no , NO |
| |
Abstract: | Summary. We first analyse a semi-discrete operator splitting method for nonlinear, possibly strongly degenerate, convection-diffusion
equations. Due to strong degeneracy, solutions can be discontinuous and are in general not uniquely determined by their data.
Hence weak solutions satisfying an entropy condition are sought. We then propose and analyse a fully discrete splitting method
which employs a front tracking scheme for the convection step and a finite difference scheme for the diffusion step. Numerical
examples are presented which demonstrate that our method can be used to compute physically correct solutions to mixed hyperbolic-parabolic
convection-diffusion equations.
Received November 4, 1997 / Revised version received June 22, 1998 |
| |
Keywords: | Mathematics Subject Classification (1991):65M12 35K65 35L65 |
本文献已被 SpringerLink 等数据库收录! |
|