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a r t i c l e i n f o a b s t r a c t Obtaining accuracy along domain boundaries is often the primary goal of a numerical simulation. In this work, we show how the test space of discontinuous Galerkin (DG) methods can be optimized to achieve enhanced boundary accuracy for linear problems. Given some norm in which accuracy is desired, the optimal test… (More)

We present an output-based mesh adaptation strategy for Navier-Stokes simulations on deforming domains. The equations are solved with an arbitrary Lagrangian-Eulerian (ALE) approach, using a discontinuous Galerkin finite-element discretization in both space and time. Discrete unsteady adjoint solutions, derived for both the state and the geometric… (More)

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