A Space-Time DPG Method for the Heat Equation

Published 24 Dec 2020 in math.NA and cs.NA | (2012.13229v2)

Abstract: This paper introduces an ultra-weak space-time DPG method for the heat equation. We prove well-posedness of the variational formulation with broken test functions and verify quasi-optimality of a practical DPG scheme. Numerical experiments visualize beneficial properties of an adaptive and parabolically scaled mesh-refinement driven by the built-in error control of the DPG method.

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