87 citations · 303 across the 21 of their papers we have counts for
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A closest point method library for PDEs on surfaces with parallel domain decomposition solvers and preconditioners
Ian C. T. May, Ronald D. Haynes, Steven J. Ruuth
The DD-CPM software library provides a set of tools for the discretization and solution of problems arising from the closest point method (CPM) for partial differential equations o…
A Convergence Analysis of the Parallel Schwarz Solution of the Continuous Closest Point Method
Alireza Yazdani, Ronald D. Haynes, Steven J. Ruuth
The discretization of surface intrinsic PDEs has challenges that one might not face in the flat space. The closest point method (CPM) is an embedding method that represents surface…
Linearly Stabilized Schemes for the Time Integration of Stiff Nonlinear PDEs
Kevin Chow, Steven J. Ruuth
In many applications, the governing PDE to be solved numerically contains a stiff component. When this component is linear, an implicit time stepping method that is unencumbered by…