Error estimates for space-time discontinuous Galerkin formulation based on proper orthogonal decomposition

Date

2017-01-01

Author

Akman, Tuğba

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In this study, proper orthogonal decomposition (POD) method is applied to diffusion-convection-reaction equation, which is discretized using spacetime discontinuous Galerkin (dG) method. We provide estimates for POD truncation error in dG-energy norm, dG-elliptic projection, and spacetime projection. Using these new estimates, we analyze the error between the dG and the POD solution, and the error between the exact and the POD solution. Numerical results, which are consistent with theoretical convergence rates, are presented.

Subject Keywords

Applied Mathematics, Analysis

URI

https://hdl.handle.net/11511/62330

Journal

APPLICABLE ANALYSIS

DOI

https://doi.org/10.1080/00036811.2016.1143930

Collections

Department of Mathematics, Article

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Citation Formats

T. Akman, “Error estimates for space-time discontinuous Galerkin formulation based on proper orthogonal decomposition,” APPLICABLE ANALYSIS, pp. 461–482, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62330.