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arXiv:1908.08981 [math.NA]AbstractReferencesReviewsResources

Ultraweak formulation of linear PDEs in nondivergence form and DPG approximation

Thomas Führer

Published 2019-08-23Version 1

We develop and analyze an ultraweak formulation of linear PDEs in nondivergence form where the coefficients satisfy the Cordes condition. Based on the ultraweak formulation we propose discontinuous Petrov--Galerkin (DPG) methods. We investigate Fortin operators for the fully discrete schemes and provide a posteriori estimators for the methods under consideration. Numerical experiments are presented in the case of uniform and adaptive mesh-refinement.

Categories: math.NA, cs.NA
Subjects: 65N30, 65N12
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