5 citations · 5 across the 8 of their papers we have counts for
9 papers
Targeted Entropy-Stable Nonlinear Artificial Dissipation for High-Order Spectral-Element Summation-By-Parts Discretizations
Zelalem Arega Worku, Alex Bercik, David C. Del Rey Fernández +1
Artificial dissipation improves the robustness of high-order methods for under-resolved flows, but can compromise accuracy and suppress physically relevant structures if its streng…
Convergence of entropy-stable continuous summation-by-parts discretizations of symmetric hyperbolic conservation laws
Zelalem Arega Worku, David C. Del Rey Fernández, David W. Zingg
The Lax equivalence theorem guarantees convergence of stable and consistent discretizations for linear hyperbolic partial differential equations (PDEs). For nonlinear problems, how…
High-Order Symmetric Positive Interior Quadrature Rules on Two and Three Dimensional Domains
Moustapha Diallo, Zelalem Arega Worku
Fully symmetric positive interior (f-SPI) quadrature rules are key building blocks for high-order discretizations of partial differential equations, yet high-degree rules with few…
Very high-order symmetric positive-interior quadrature rules on triangles and tetrahedra
Zelalem Arega Worku, Jason E. Hicken, David W. Zingg
We present novel fully-symmetric quadrature rules with positive weights and strictly interior nodes of degrees up to 84 on triangles and 40 on tetrahedra. Initial guesses for solvi…
Tensor-Product Split-Simplex Summation-By-Parts Operators
Zelalem Arega Worku, Jason E. Hicken, David W. Zingg
We present an approach to construct efficient sparse summation-by-parts (SBP) operators on triangles and tetrahedra with a tensor-product structure. The operators are constructed b…
Quadrature Rules on Triangles and Tetrahedra for Multidimensional Summation-By-Parts Operators
Zelalem Arega Worku, Jason E. Hicken, David W. Zingg
Multidimensional diagonal-norm summation-by-parts (SBP) operators with collocated volume and facet nodes, known as diagonal- operators, are attractive for entropy-sta…
Entropy-split multidimensional summation-by-parts discretization of the Euler and compressible Navier-Stokes equations
Zelalem Arega Worku, David W. Zingg
High-order Hadamard-form entropy stable multidimensional summation-by-parts discretizations of the Euler and compressible Navier-Stokes equations are considerably more expensive th…
Stability and Functional Superconvergence of Narrow-Stencil Second-Derivative Generalized Summation-By-Parts Discretizations
Zelalem Arega Worku, David W. Zingg
We analyze the stability and functional superconvergence of discretizations of diffusion problems with the narrow-stencil second-derivative generalized summation-by-parts (SBP) ope…
Simultaneous approximation terms and functional accuracy for diffusion problems discretized with multidimensional summation-by-parts operators
Zelalem Arega Worku, David W. Zingg
Several types of simultaneous approximation term (SAT) for diffusion problems discretized with diagonal-norm multidimensional summation-by-parts (SBP) operators are analyzed based…