Imposing essential boundary conditions in the eXtended Finite Element Method

Here, Assumption (1.5) is necessary to give a meaning of the boundary condition u 3 = g 3 on Γ in (1.7), see Proposition 6.2, and to build a lifting operator of boundary values

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In Section 2, we recall the main finite-volume notation, for example used in [4], that we adapt to our problem with a curved domain and dynamic boundary conditions.. In Section 3,

The main steps towards the derivation of enrichment functions are as follows: (1) extension of the subfields separated by the interface to the whole element domain and definition

In works such as [11,16,17,19,24,29], a part of the analysis relies on the construction of 0-forms (i.e. functions) quasi-modes supported in some characteristic wells of the potential

This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP:.. Wang and

This work is concerned with the reconstruction of the shape of cracks with impedance boundary conditions in a homogeneous background from acoustic measurements using the so-

In this paper, we are interested in the minimization of the second eigen- value of the Laplacian with Dirichlet boundary conditions amongst convex plane domains with given area..