An Adaptive E-Scheme for Conservation Laws
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An adaptive E-scheme for possibly degenerate, viscous conservation laws is presented. The scheme makes use of both given and numerical diffusion to establish the E-property. In the degenerate case it reduces to local Lax–Friedrichs. Both explicit and time-implicit E-schemes are monotone and TVD. Numerical experiments demonstrate the robustness and improved accuracy of the adaptive scheme.
The authors acknowledge funding by the Ethiopian Department of Education, and the Norwegian Agency for Development Cooperation.
- 1.E.A. Abdi, C.V. Hansen, H.J. Schroll, An adaptive viscosity E-scheme for balance laws. Preprint SDU (2017)Google Scholar
- 4.R.J. LeVeque, Numerical Methods for Conservation Laws (Birkhäuser, Basel, 1992)Google Scholar
- 6.V.V. Rusanov, Calculation of interaction of nonsteady shock waves with obstacles. J. Comput. Math. Phys. USSR 1, 267–279 (1961)Google Scholar