A Bernstein-polynomial convex combination, steered by a discontinuity sensor, yields a total-variation-diminishing shock-capturing scheme for spectral element approximations of scalar conservation laws.
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Shock Capturing by Bernstein Polynomials for Scalar Conservation Laws
A Bernstein-polynomial convex combination, steered by a discontinuity sensor, yields a total-variation-diminishing shock-capturing scheme for spectral element approximations of scalar conservation laws.