We propose an adaptive finite element algorithm to approximate solutions of elliptic problems whose forcing data is locally defined and is approximated by regularization (or mollifica-tion). We show that the energy error decay is quasi-optimal in two-dimensional space and suboptimal in three-dimensional space. Numerical simulations are provided to confirm our findings.
Adaptive Finite Element Approximations for Elliptic Problems using Regularized Forcing Data
Heltai, Luca;
2023-01-01
Abstract
We propose an adaptive finite element algorithm to approximate solutions of elliptic problems whose forcing data is locally defined and is approximated by regularization (or mollifica-tion). We show that the energy error decay is quasi-optimal in two-dimensional space and suboptimal in three-dimensional space. Numerical simulations are provided to confirm our findings.File in questo prodotto:
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