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Advances in Hybridizable Discontinuous Galerkin: From Analysis to Applications

Cuong Nguyen, MIT

Antonio Huerta, UPC

Hybridizable Discontinuous Galerkin (HDG) methods have, in recent years, attracted considerable attention in the computational science and engineering community. Initially developed for elliptic problems HDG methods, they improved other discontinuous Galerkin methods and, at the same time, inherit from them a number of desirable properties for solving partial differential equations, among them: local conservation, high-order accuracy, easy parallelization, amenable adaptivity, etc. For these reasons HDG methods have excelled in the wide range of flow related problems, in particular, in those where high-fidelity is required. This minisymposium will address theoretical, computational and application issues related to the latest developments in HDG methods. Of course, a non-exhaustive list of topics include novel formulations, stability, convergence, discretization, preconditioning, parallelization, (hp)-adaptivity, application of the methods to difficult and large-scale problems, efficient implementations, etc.