High-performance 3D Unstructured Mesh Deformation Using Rank Structured Matrix Computations

The Radial Basis Function (RBF) technique is an interpolation method that produces high-quality unstructured adaptive meshes. However, the RBF-based boundary problem necessitates solving a large dense linear system with cubic arithmetic complexity computationally expensive and prohibitive in terms of memory footprint. In this article, we accelerate computations 3D mesh deformation based on RBF interpolations by exploiting rank structured property matrix operator. main idea consists approximating off-diagonal tiles up to application-dependent accuracy threshold. We highlight robustness our multiscale solver assessing its numerical using realistic geometries. particular, model population novel coronaviruses. report compare performance results various parallel systems against existing state-of-the-art solvers.