JCPHY
2016
8 years 5 months ago
2016
In this article we consider regularizations of the Dirac delta distribution with applications to prototypical elliptic and hyperbolic partial di↵erential equations (PDEs). We st...
JCPHY
2016
8 years 5 months ago
2016
Buoyancy-driven flow models demand a careful treatment of the mass-balance equation to avoid spurious source and sink terms in the non-linear coupling between flow and transport....
JCPHY
2016
8 years 5 months ago
2016
The Immersed Boundary method is a simple, efficient, and robust numerical scheme for solving PDE in general domains, yet it only achieves first-order spatial accuracy near embedd...