Answers are grounded in this paper and cite their sources.
Uniform estimates for the error in the finite element method are derived for a model problem on a general triangular mesh in two dimensions. These are optimal if the degree of the piecewise polynomials is greater than one. Similar estimates of the error are also derived in L p {L^p} . As an intermediate step, an L 1 {L^1} estimate of the gradient of the error in the finite element approximation of the Green’s function is proved that is optimal for all degrees.
No takes yet. Share an insight, caveat, or question.
Ridgway Scott (1976) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: