High-resolution numerical algorithm for one-dimensional scalar conservation laws with a constrained solution
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 3, pp. 461-471
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The CABARET computational algorithm is generalized to one-dimensional scalar quasilinear hyperbolic partial differential equations with allowance for inequality constraints on the solution. This generalization can be used to analyze seepage of liquid radioactive wastes through the unsaturated zone.
@article{ZVMMF_2012_52_3_a6,
author = {V. M. Goloviznin and A. A. Kanaev},
title = {High-resolution numerical algorithm for one-dimensional scalar conservation laws with a~constrained solution},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {461--471},
publisher = {mathdoc},
volume = {52},
number = {3},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a6/}
}
TY - JOUR AU - V. M. Goloviznin AU - A. A. Kanaev TI - High-resolution numerical algorithm for one-dimensional scalar conservation laws with a constrained solution JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2012 SP - 461 EP - 471 VL - 52 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a6/ LA - ru ID - ZVMMF_2012_52_3_a6 ER -
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V. M. Goloviznin; A. A. Kanaev. High-resolution numerical algorithm for one-dimensional scalar conservation laws with a constrained solution. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 3, pp. 461-471. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a6/