Compactness Properties of the DG and CG Time Stepping Schemes for Parabolic Equations
نویسنده
چکیده
It is shown that for a broad class of equations that numerical solutions computed using the discontinuous Galerkin or the continuous Galerkin time stepping schemes of arbitrary order will inherit the compactness properties of the underlying equation. Convergence of numerical schemes for a phase field approximation of the flow of two fluids with surface tension is presented to illustrate these results.
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ورودعنوان ژورنال:
- SIAM J. Numerical Analysis
دوره 47 شماره
صفحات -
تاریخ انتشار 2010