2012/08/31 by Juan José Ródenas, Ródenas, J. J., Octavio Andrés González‐Estrada +5
Engineering · #Advanced Numerical Methods in Computational Mathematics #Computational Physics (physics.comp-ph) #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA) #Numerical methods in engineering
paper · doi:10.48550/arxiv.1208.6381
openalex publication_date 2012/08/31 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
In this paper a new technique aimed to obtain accurate estimates of the error in energy norm using a moving least squares (MLS) recovery-based procedure is presented. We explore the capabilities of a recovery technique based on an enhanced MLS fitting, which directly provides continuous interpolated fields, to obtain estimates of the error in energy norm as an alternative to the superconvergent patch recovery (SPR). Boundary equilibrium is enforced using a nearest point approach that modifies the MLS functional. Lagrange multipliers are used to impose a nearly exact satisfaction of the internal equilibrium equation. The numerical results show the high accuracy of the proposed error estimator.