For least-squares mixed nite element methods for the rst-order system formulation of second-order elliptic problems, a technique for the weak enforcement of boundary conditions is presented. This approach is based on least-squares boundary functionals which are equivalent to the H ?1=2 and H 1=2 norms on the trace spaces of lowest-order Raviart-Thomas elements for the ux and standard continuous...

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 21 September 2020Accepted: 28 February 2021Published online: 10 May 2021Keywordsfinite element method, Helmholtz, boundary conditions, layer potentialsAMS Subject Headings65N30, 65N80, 65F08Publication DataISSN (print): 1064-8275ISSN (online): 1095-7197Publisher: Society ...

The Boundary Element Method is now well established as a valid numerical technique for the solution of field problems, equal to the Finite Element Method in generality and surpassing it in computational efficiency in some cases.’ In this paper is presented a ‘Regular Boundary Element Method’ as applied to inviscid laminar fluid flow problems. It involves the formation of a system of regular int...

The purpose of this paper is to present an adaptive FEM-BEM coupling method that is valid for both twoand three-dimensional elasto-plastic analyses. The method takes care of the evolution of the elastic and plastic regions. It eliminates the cumbersome of a trial and error process in the identification of the FEM and BEM sub-domains in the standard FEM-BEM coupling approaches. The method estima...