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Exponential convergence through linear finite element discretization of stratified subdomains
2016
Journal of Computational Physics
Motivated by problems where the response is needed at select localized regions in a large computational domain, we devise a novel finite element discretization that results in exponential convergence at pre-selected points. The two key features of the discretization are (a) use of midpoint integration to evaluate the contribution matrices, and (b) an unconventional bending of the mesh into complex space. Named complex-length finite element method (CFEM), the technique is linked to Pade
doi:10.1016/j.jcp.2016.06.045
fatcat:gj33xqmyezf75cuq54subsnu7u