Abstract
In this paper, we state a convergence result for an $L1$-based finite element approximation technique in one dimension. The proof of this result is constructive and provides the basis for an algorithm for computing $L1$-based almost minimizers with optimal complexity. Several numerical results are presented to illustrate the performance of the method.
Citation
Jean-Luc Guermond. Fabien Marpeau. Bojan Popov. "A fast algorithm for solving first-order PDEs by L1-minimization." Commun. Math. Sci. 6 (1) 199 - 216, March 2008.
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