Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems
نویسنده
چکیده
We analyze existing discontinuous Galerkin methods on quasi-uniform meshes for singularly perturbed problems. We prove weighted L2 error estimates. We use the weighted estimates to prove L2 error estimates in regions where the solution is smooth. We also prove pointwise estimates in these regions.
منابع مشابه
Local Anaylsis of Discontinuous Galerkin Methods Applied to Singularly Perturbed Problems
We analyze existing discontinuous Galerkin methods on quasiuniform meshes for singularly perturbed problems. We prove weighted L2 error estimates. We use the weighted estimates to prove L2 error estimates in regions where the solution is smooth. We also prove pointwise estimates in these regions.
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ورودعنوان ژورنال:
- J. Num. Math.
دوره 14 شماره
صفحات -
تاریخ انتشار 2006