The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

Zeitschrift für Analysis und ihre Anwendungen


Full-Text PDF (762 KB) | Metadata | Table of Contents | ZAA summary
Volume 12, Issue 4, 1993, pp. 751–758
DOI: 10.4171/ZAA/531

Published online: 1993-12-31

A Class of One-Dimensional Variational Inequalities and Difference Schemes of Arbitrary Given Degree of Accuracy

I.P. Gavrilyuk[1]

(1) Universität Leipzig, Germany

A new class of one-dimensional variational inequalities with obstruction on the boundary is investigated and a theorem of existence and uniqueness of solution is proved. The investigated properties of the exact solution give an opportunity to construct the three -point difference relations for this solution (exact difference scheme). A numerical three-point approximation of arbitrary given degree of accuracy (truncated difference scheme) is proposed.

Keywords: One-dimensional variational inequalities, exact and truncated difference schemes

Gavrilyuk I.P.: A Class of One-Dimensional Variational Inequalities and Difference Schemes of Arbitrary Given Degree of Accuracy. Z. Anal. Anwend. 12 (1993), 751-758. doi: 10.4171/ZAA/531