87 citations · 303 across the 21 of their papers we have counts for
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PDEs on moving surfaces via the closest point method and a modified grid based particle method
A. Petras, S. J. Ruuth
Partial differential equations (PDEs) on surfaces arise in a wide range of applications. The closest point method (Ruuth and Merriman, J. Comput. Phys. 227(3):1943-1961, [2008]) is…
Schwarz solvers and preconditioners for the closest point method
Ian May, Ronald Haynes, Steven Ruuth
The discretization of surface intrinsic elliptic partial differential equations (PDEs) poses interesting challenges not seen in flat space. The discretization of these PDEs typical…
Domain Decomposition for the Closest Point Method
Ian May, Ronald D. Haynes, Steven J. Ruuth
The discretization of elliptic PDEs leads to large coupled systems of equations. Domain decomposition methods (DDMs) are one approach to the solution of these systems, and can spli…
A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces
A. Petras, L. Ling, C. Piret +1
The closest point method (Ruuth and Merriman, J. Comput. Phys. 227(3):1943-1961, [2008]) is an embedding method developed to solve a variety of partial differential equations (PDEs…