One-sided Post-processing for the Discontinuous Galerkin Method Using ENO Type Stencil Choosing and the Local Edge Detection Method

Author:

Archibald Rick,Gelb Anne,Gottlieb Sigal,Ryan Jennifer

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference23 articles.

1. Archibald R., Gelb A., and Yoon J. (2005). Polynomial fitting for edge detection in irregularly sampled signals and images. SIAM J. Numer. Anal. 43:259–279

2. Archibald, R., Gelb, A., and Yoon, J. (2006). Determining the locations of the discontinuities in the derivatives of functions. Appl. Numer. Math. (submitted).

3. Bramble J.H., and Schatz A.H. (1977). Higher order local accuracy by averaging in the finite element method. Math. Comput. 31:94–111

4. Cockburn, B. (1999). Discontinuous Galerkin methods for convection-dominated problems. In Barth, T. J., and Deconinck, H. (ed.), High-Order Methods for Computational Physics, Lecture Notes in Computational Science and Engineering, Vol. 9, Springer, pp. 69–224.

5. Cockburn B., Hou S., and Shu C.-W. (1990). The Runge–Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: The multidimensional case. Math. Comput. 54:545–581

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