A closest point method library for PDEs on surfaces with parallel domain decomposition solvers and preconditioners

Abstract The DD-CPM software library provides a set of tools for the discretization and solution problems arising from closest point method (CPM) partial differential equations on surfaces. solvers are built top well-known PETSc framework, supplemented by custom domain decomposition (DD) preconditioners specific to CPM. These fully compatible with distributed memory parallelism through MPI. This is particularly well suited elliptic parabolic equations, including many reaction-diffusion equations. detailed herein, number sample benchmarks demonstrated. Finally, parallel scalability measured.