Journal
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Volume 21, Issue 6, Pages 2126-2143Publisher
SIAM PUBLICATIONS
DOI: 10.1137/S106482759732455X
Keywords
ENO; weighted ENO; Hamilton jacobi equation; shape-from-shading; level set
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In this paper, we present a weighted ENO (essentially nonoscillatory) scheme to approximate the viscosity solution of the Hamilton Jacobi equation: phi(t) + H (x(1),...,x(d), t, phi, phi(x1),...,phi(xd)) = 0. This weighted ENO scheme is constructed upon and has the same stencil nodes as the third order ENO scheme but can be as high as fifth order accurate in the smooth part of the solution. In addition to the accuracy improvement, numerical comparisons between the two schemes also demonstrate that the weighted ENO scheme is more robust than the ENO scheme.
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