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Unified error analysis of discontinuous Galerkin methods for parabolic obstacle problem

Papri Majumder — 2021

Applications of Mathematics

We introduce and study various discontinuous Galerkin (DG) finite element approximations for a parabolic variational inequality associated with a general obstacle problem in d ( d = 2 , 3 ) . For the fully-discrete DG scheme, we employ a piecewise linear finite element space for spatial discretization, whereas the time discretization is carried out with the implicit backward Euler method. We present a unified error analysis for all well known symmetric and non-symmetric DG fully discrete schemes,...

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