Convergence of a Relaxation Scheme for a 2x2 Triangular System of Conservation Laws
Institution: | University of Oslo |
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Department: | |
Year: | 1000 |
Keywords: | VDP::410 |
Record ID: | 1293309 |
Full text PDF: | https://www.duo.uio.no/handle/10852/10728 https://www.duo.uio.no/bitstream/10852/10728/3/MasterThesisChristianxAgrell.pdf |
This thesis studies an approximate solution, called relaxation approximation, to a 2x2 triangular system of hyperbolic conservation laws. The system of interest is first approximated by a particular set of smooth functions. A finite difference discretization of these functions is then used to construct a numerical scheme. Using the theory of compensated compactness, we show that the scheme produces a sequence of approximate solutions that converges to a weak solution of the triangular system.