TY - JOUR
T1 - Convergence of a Relaxation Scheme for a 2×2 Triangular System of Conservation Laws
AU - Agrell , C.
AU - Risebro , N. H.
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 148
EP - 171
PY - 2014
DA - 2014/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/519.html
KW - triangular systems of conservation laws, relaxation, compensated compactness.
AB - <p style="text-align: justify;">We study relaxation approximations to solutions of a 2 × 2 triangular system of conservation laws. We show that smooth relaxation approximations exist for all time. A finite
difference approximation of the relaxation system gives rise to a relaxation scheme of the Jin and
Xin type. In both cases we show that a sequence of approximate solutions is produced where the
limit is a weak solution of the triangular system. Compensated compactness is used to establish
convergence.</p>