Discontinuous Galerkin methods for solving elliptic variational inequalities
We study discontinuous Galerkin methods for solving elliptic variational inequalities of both
the first and second kinds. Analysis of numerous discontinuous Galerkin schemes for elliptic
boundary value problems is extended to the variational inequalities. We establish a priori
error estimates for the discontinuous Galerkin methods, which reach optimal order for linear
elements. Results from some numerical examples are reported.
the first and second kinds. Analysis of numerous discontinuous Galerkin schemes for elliptic
boundary value problems is extended to the variational inequalities. We establish a priori
error estimates for the discontinuous Galerkin methods, which reach optimal order for linear
elements. Results from some numerical examples are reported.
We study discontinuous Galerkin methods for solving elliptic variational inequalities of both the first and second kinds. Analysis of numerous discontinuous Galerkin schemes for elliptic boundary value problems is extended to the variational inequalities. We establish a priori error estimates for the discontinuous Galerkin methods, which reach optimal order for linear elements. Results from some numerical examples are reported.
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