A primal DPG method without a first-order reformulation

نویسندگان

  • Leszek F. Demkowicz
  • Jayadeep Gopalakrishnan
چکیده

We show that it is possible to apply the DPG methodology without reformulating a second order boundary value problem into a first order system, by considering the simple example of the Poisson equation. The result is a new weak formulation and a new DPG method for the Poisson equation, which has no numerical trace variable, but has a numerical flux approximation on the element interfaces, in addition to the primal interior variable.

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عنوان ژورنال:
  • Computers & Mathematics with Applications

دوره 66  شماره 

صفحات  -

تاریخ انتشار 2013