122 citations · 152 across the 15 of their papers we have counts for
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Interior Penalties for Summation-by-Parts Discretizations of Linear Second-Order Differential Equations
Jianfeng Yan, Jared Crean, Jason E. Hicken
This work focuses on multidimensional summation-by-parts (SBP) discretizations of linear elliptic operators with variable coefficients. We consider a general SBP discretization wit…
Conservative and Stable Degree Preserving SBP Operators for Non-Conforming Meshes
Lucas Friedrich, David C. Del Rey Fernandez, Andrew R. Winters +3
Non-conforming numerical approximations offer increased flexibility for applications that require high resolution in a localized area of the computational domain or near complex ge…
Simultaneous Approximation Terms for Multi-Dimensional Summation-by-Parts Operators
David C. Del Rey Fernández, Jason E. Hicken, David W. Zingg
This paper is concerned with the accurate, conservative, and stable imposition of boundary conditions and inter-element coupling for multi-dimensional summation-by-parts (SBP) fini…