A Space-Time DPG Method for the Heat Equation

Diening L, Storn J (2020)
arXiv:2012.13229.

Preprint | Englisch
 
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Abstract / Bemerkung
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.
Erscheinungsjahr
2020
Zeitschriftentitel
arXiv:2012.13229
Page URI
https://pub.uni-bielefeld.de/record/2949666

Zitieren

Diening L, Storn J. A Space-Time DPG Method for the Heat Equation. arXiv:2012.13229. 2020.
Diening, L., & Storn, J. (2020). A Space-Time DPG Method for the Heat Equation. arXiv:2012.13229
Diening, L., and Storn, J. (2020). A Space-Time DPG Method for the Heat Equation. arXiv:2012.13229.
Diening, L., & Storn, J., 2020. A Space-Time DPG Method for the Heat Equation. arXiv:2012.13229.
L. Diening and J. Storn, “A Space-Time DPG Method for the Heat Equation”, arXiv:2012.13229, 2020.
Diening, L., Storn, J.: A Space-Time DPG Method for the Heat Equation. arXiv:2012.13229. (2020).
Diening, Lars, and Storn, Johannes. “A Space-Time DPG Method for the Heat Equation”. arXiv:2012.13229 (2020).

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