Bernkopf, M., & Melenk, J. M. (2023). Optimal convergence rates in L2 for a first order system least squares finite element method. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 57(1), 107–141. https://doi.org/10.1051/m2an/2022026
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS
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ISSN:
2822-7840
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Datum (veröffentlicht):
2023
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Umfang:
35
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Verlag:
EDP SCIENCES S A
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Peer Reviewed:
Ja
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Keywords:
Duality argument; Least squares method
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Abstract:
We analyze a divergence based first order system least squares method applied to a second order elliptic model problem with homogeneous boundary conditions. We prove optimal convergence in the L²(Ω) norm for the scalar variable. Numerical results confirm our findings.
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Projekttitel:
Doktoratskolleg "Dissipation and Dispersion in Nonlinear Partial Differential Equations": W1245-N25 (FWF - Österr. Wissenschaftsfonds)
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Forschungsschwerpunkte:
Mathematical and Algorithmic Foundations: 80% Modeling and Simulation: 20%
CC BY 4.0
