Error indicators for the mortar finite element discretization of the Laplace equation

Bernardi, Christine; Hecht, Frédéric

doi:10.1090/S0025-5718-01-01401-6

Error indicators for the mortar finite element discretization of the Laplace equation
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by Christine Bernardi and Frédéric Hecht PDF

Math. Comp. 71 (2002), 1371-1403 Request permission

Abstract:

The mortar technique turns out to be well adapted to handle mesh adaptivity in finite elements, since it allows for working with nonnecessarily compatible discretizations on the elements of a nonconforming partition of the initial domain. The aim of this paper is to extend the numerical analysis of residual error indicators to this type of methods for a model problem and to check their efficiency thanks to some numerical experiments.

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