Volume 12, pp. 134-148, 2001.

Some nonstandard finite element estimates with applications to 3D Poisson and Signorini problems

Faker Ben Belgacem and Susanne C. Brenner

Abstract

In this paper we establish several nonstandard finite element estimates involving fractional order Sobolev spaces, with applications to bubble stabilized mixed methods for the three-dimensional Poisson and Signorini problems.

Full Text (PDF) [198 KB]

Key words

fractional order Sobolev spaces, Poisson, Signorini, mixed method, bubble finite element stabilization.

AMS subject classifications

65N30, 35J85.

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