Adjoint-state method for Hybridizable Discontinuous Galerkin discretization, application to the inverse acoustic wave problem
Florian Faucher,
Otmar Scherzer
Abstract:In this paper, we perform non-linear minimization using the Hybridizable Discontinuous Galerkin method (HDG) for the discretization of the forward problem, and implement the adjoint-state method for the efficient computation of the functional derivatives. Compared to continuous and discontinuous Galerkin discretizations, HDG reduces the computational cost by using the numerical traces for the global linear system, hence removing the degrees of freedom that are inside the cells. It is particularly attractive fo… Show more
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