Automatic Penalty and Degree Continuation for Parallel Pre-Conditioned Mesh Curving on Virtual Geometry

We present a distributed parallel mesh curving method for virtual geometry. The main application is to generate large-scale curved meshes on complex geometry suitable analysis with unstructured high-order methods. Accordingly, we devise the technique geometrically accurate composed of high-quality elements. To this end, advocate degree continuation penalty-based second-order optimizer that uses global tight tolerances converge distortion residuals. reduce memory footprint, waiting time, and energy consumption, combine three ingredients. First, propose matrix-free GMRES solver pre-conditioned successive over-relaxation by blocks footprint times. also an adaptive penalty technique, number non-linear iterations. Third, indicator required linear tolerance On thousands cores, curves millions quartic elements featuring highly stretched while matching topology.