MFEM v4.7.0
Finite element discretization library
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weakform.hpp File Reference

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Classes

class  mfem::DPGWeakForm
 Class representing the DPG weak formulation. Given the variational formulation a(u,v) = b(v), (or A u = b, where <Au,v> = a(u,v)) this class forms the DPG linear system A^T G^-1 A u = A^T G^-1 b This system results from the minimum residual formulation u = argmin_w ||G^-1(b - Aw)||. Here G is a symmetric positive definite matrix resulting from the discretization of the Riesz operator on the test space. Since the test space is broken (discontinuous), G is defined and inverted element-wise and the assembly of the global system is performed in the same manner as the standard FEM method. Note that DPGWeakForm can handle multiple Finite Element spaces. More...
 

Namespaces

namespace  mfem