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Coupling of the mesh-free finite cloud method with the boundary element method: a collocation approach
 

Summary: Coupling of the mesh-free finite cloud method with
the boundary element method: a collocation approach
Gang Li a
, Glaucio H. Paulino b,*, N.R. Aluru c
a
Beckman Institute and Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign,
Urbana, IL 61801, USA
b
Department of Civil and Environmental Engineering, Newmark Laboratory, University of Illinois at Urbana-Champaign,
205 North Mathews Avenue, Urbana, IL 61801-2352, USA
c
Beckman Institute and Department of General Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
Received 8 July 2002; received in revised form 15 January 2003
Abstract
Meshless and mesh-based methods are among the tools frequently applied in the numerical treatment of partial
differential equations (PDEs). This paper presents a coupling of the meshless finite cloud method (FCM) and the
standard (mesh-based) boundary element method (BEM), which is motivated by the complementary properties of both
methods. While the BEM is appropriate for solving linear PDEs with constant coefficients in bounded or unbounded
domains, the FCM is appropriate for either homogeneous, inhomogeneous or even nonlinear problems in bounded
domains. Both techniques (FCM and BEM) use a collocation procedure in the numerical approximation. No mesh is

  

Source: Aluru, Narayana R. - Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign

 

Collections: Engineering; Materials Science