Higher-order Immersed Discontinuous Galerkin Methods
نویسنده
چکیده
We propose new discontinuous finite element methods that can be applied to one-dimensional elliptic problems with discontinuous coefficients. These methods are based on a class of higher degree immersed finite element spaces and can be used with a mesh independent of the location of coefficient discontinuity. Numerical experiments are presented to show that these methods can achieve optimal convergence rates under both h and p refinements.
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تاریخ انتشار 2007