Search Results for author: Zelalem Arega Worku

Found 2 papers, 0 papers with code

Stability and Functional Superconvergence of Narrow-Stencil Second-Derivative Generalized Summation-By-Parts Discretizations

no code implementations9 Feb 2021 Zelalem Arega Worku, David W. Zingg

Sufficient conditions for stability of adjoint consistent discretizations with the narrow-stencil generalized SBP operators are presented.

Numerical Analysis Numerical Analysis 65M06, 65M12, 65N06, 65N12

Simultaneous approximation terms and functional accuracy for diffusion problems discretized with multidimensional summation-by-parts operators

no code implementations14 Dec 2020 Zelalem Arega Worku, David W. Zingg

For SATs leading to primal and adjoint consistent discretizations, the error in output functionals is shown to be of order $h^{2p}$ when a degree $p$ multidimensional SBP operator is used to discretize the spatial derivatives.

Numerical Analysis Numerical Analysis 65M06 (Primary), 65M12, 65N30 (Secondary)

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