A space-time DPG method for the heat equation
Diening L, Storn J (2022)
Computers & Mathematics with Applications 105(1): 41-53.
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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
2022
Zeitschriftentitel
Computers & Mathematics with Applications
Band
105
Ausgabe
1
Seite(n)
41-53
ISSN
0898-1221
Page URI
https://pub.uni-bielefeld.de/record/2959661
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Diening L, Storn J. A space-time DPG method for the heat equation. Computers & Mathematics with Applications. 2022;105(1):41-53.
Diening, L., & Storn, J. (2022). A space-time DPG method for the heat equation. Computers & Mathematics with Applications, 105(1), 41-53. https://doi.org/10.1016/j.camwa.2021.11.013
Diening, Lars, and Storn, Johannes. 2022. “A space-time DPG method for the heat equation”. Computers & Mathematics with Applications 105 (1): 41-53.
Diening, L., and Storn, J. (2022). A space-time DPG method for the heat equation. Computers & Mathematics with Applications 105, 41-53.
Diening, L., & Storn, J., 2022. A space-time DPG method for the heat equation. Computers & Mathematics with Applications, 105(1), p 41-53.
L. Diening and J. Storn, “A space-time DPG method for the heat equation”, Computers & Mathematics with Applications, vol. 105, 2022, pp. 41-53.
Diening, L., Storn, J.: A space-time DPG method for the heat equation. Computers & Mathematics with Applications. 105, 41-53 (2022).
Diening, Lars, and Storn, Johannes. “A space-time DPG method for the heat equation”. Computers & Mathematics with Applications 105.1 (2022): 41-53.
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