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Fully computable a posteriori error bounds for hybridizable discontinuous Galerkin finite element approximations
[article]
2017
arXiv
pre-print
We derive a posteriori error estimates for the hybridizable discontinuous Galerkin (HDG) methods, including both the primal and mixed formulations, for the approximation of a linear second-order elliptic problem on conforming simplicial meshes in two and three dimensions. We obtain fully computable, constant free, a posteriori error bounds on the broken energy seminorm and the HDG energy (semi)norm of the error. The estimators are also shown to provide local lower bounds for the HDG energy
arXiv:1706.05778v1
fatcat:abgikll7trgvnohkj52dscpehm