A method for computing curved 2D and 3D meshes via the linear elasticity analogy: preliminary results

We propose, analyze an algorithm for the robust construction of curved meshes in two and three dimensions. The meshes are made of curved simplices. The algorithm starts from a mesh made of straight simplices, and using a linear elasticity analogy applied on well chosen data, one can generate a curved mesh. if the initial mesh has a boundary layer, the final mesh has also a boundary layer of equivalent quality.