An ultraweak variational formulation with DPG approximation is developed for nondivergence-form elliptic PDEs with Cordes coefficients, with well-posedness, quasi-optimality, Fortin operators, and a posteriori estimators.
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Ultraweak formulation of linear PDEs in nondivergence form and DPG approximation
An ultraweak variational formulation with DPG approximation is developed for nondivergence-form elliptic PDEs with Cordes coefficients, with well-posedness, quasi-optimality, Fortin operators, and a posteriori estimators.