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In this article we study discontinuous Galerkin finite element discretizations of linear
second-order elliptic partial differential equations with Dirac delta right-hand side. In
particular, assuming that the underlying computational mesh is quasi-uniform, we derive an
bound on the error measured in terms of the
-norm. Additionally, we develop residual-based error estimators that can be used within an adaptive mesh refinement
...
In this article we study discontinuous Galerkin finite element discretizations of linear
second-order elliptic partial differential equations with Dirac delta right-hand side. In
particular, assuming that the underlying computational mesh is quasi-uniform, we derive an
bound on the error measured in terms of the
-norm. Additionally, we develop residual-based error estimators that can be used within an adaptive mesh refinement
...
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