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Anti-diffusive High Order WENO Schemes for Hamilton-Jacobi Equations
2005
Methods and Applications of Analysis
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In this paper, we generalize the technique of anti-diffusive flux corrections for high order finite difference WENO schemes solving conservation laws in [21] , to solve Hamilton-Jacobi equations. The objective is to obtain sharp resolution for kinks, which are derivative discontinuities in the viscosity solutions of Hamilton-Jacobi equations. We would like to resolve kinks better while maintaining high order accuracy in smooth regions. Numerical examples for one and two space dimensional
doi:10.4310/maa.2005.v12.n2.a6
fatcat:2l2uxpj4tjbgrfouuf4blktkyq