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We introduce the dune-curvilineargrid module. The module provides theself-contained, parallel grid manager, as well as the underlying elementarycurvilinear geometry module dune-curvilineargeometry. This work is motivated bythe need for reliable and scalable electromagnetic design of nanoopticaldevices. Curvilinear geometries improve both the accuracy of modeling smoothmaterial boundaries, and the h/p-convergence rate of PDE solutions, reducingthe necessary computational effort. dune-curvilineargrid provides a largespectrum of features for scalable parallel implementations of Finite Elementand Boundary Integral methods over curvilinear tetrahedral geometries,including symbolic polynomial mappings and operations, recursive integration,sparse and dense grid communication, parallel timing and memory footprintdiagnostics utilities. It is written in templated C++ using MPI forparallelization and ParMETIS for grid partitioning, and is provided as a modulefor the DUNE interface. The dune-curvilineargrid grid manager is continuouslydeveloped and improved, and so is this documentation. For the most recentversion of the documentation, as well as the source code, please refer to theprovided repositories and our website.

Dune-CurvilinearGrid: Parallel Dune Grid Manager for Unstructured Tetrahedral Curvilinear Meshes