Error Analysis for Constrained First-Order System Least-Squares Finite-Element Methods

• Published in: SIAM journal on scientific computing Vol. 36; no. 3; pp. A1071 - A1088
• Main Authors: Adler, J H, Vassilevski, P S
• Format: Journal Article
• Language: English
• Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2014; SIAM
• Subjects: Approximation; Conservation; Divergence; Error analysis; Errors; Estimates; Finite element method; Laboratories; Lagrange multiplier; Least squares method; Mathematical analysis; MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; Methods

In this paper, a general error analysis is provided for finite-element discretizations of partial differential equations in a saddle-point form with divergence constraint. In particular, this extends upon the work of [J. H. Adler and P. S. Vassilevski, Springer Proc. Math. Statist. 45, Springer, New...