A space-time DPG method for the heat equation
نویسندگان
چکیده
This paper introduces an ultra-weak space-time DPG method for the heat equation. We prove well-posedness of variational formulation with broken test functions and verify quasi-optimality a practical scheme. Numerical experiments visualize beneficial properties adaptive parabolically scaled mesh-refinement driven by built-in error control method.
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ژورنال
عنوان ژورنال: Computers & mathematics with applications
سال: 2022
ISSN: ['0898-1221', '1873-7668']
DOI: https://doi.org/10.1016/j.camwa.2021.11.013