TY - JOUR
T1 - An Adaptive Viscosity E–Scheme for Degenerate Conservation and Balance Laws
AU - Adugna Abdi , Ebise
AU - Joachim Schroll , Hans
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 434
EP - 456
PY - 2020
DA - 2020/05
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/16867.html
KW - Balance law, E–scheme, monotone, degenerate viscosity.
AB - <p style="text-align: justify;">An adaptive E–scheme for degenerate, viscous balance laws is presented. Taking into
account natural diffusion, numerical viscosity is locally reduced to a minimum. Numerical experiments
demonstrate the improved accuracy of the adaptive scheme. Explicit and implicit three–point E–schemes
are monotone, TVD and nonlinearly stable. A high–resolution version of the adaptive E–scheme is
derived and tested in experiments. The latter is not necessarily monotone, but TVD.</p>