2 papers
math.OC2018
An inverse problem formulation of the immersed boundary method
Jianfeng Yan, Jason Edward Hicken
We formulate the immersed-boundary method (IBM) as an inverse problem. A control variable is introduced on the boundary of a larger domain that encompasses the target domain. The o…
math.NA2016
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…