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A discontinuous-Galerkin-based immersed boundary method with non-homogeneous boundary conditions and its application to elasticity
(ELSEVIER SCIENCE SA, 2009)
We propose a discontinuous-Galerkin-based immersed boundary method for elasticity problems. The resulting numerical scheme does not require boundary fitting meshes and avoids boundary locking by switching the elements ...
Homogenization in a thin domain with an oscillatory boundary
(GAUTHIER-VILLARS/EDITIONS ELSEVIER, 2011)
In this paper we analyze the behavior of the Laplace operator with Neumann boundary conditions in a thin domain of the type R(epsilon) = {(x(1), x(2)) is an element of R(2) vertical bar x(1) is an element of (0, 1), 0 < ...
Boundary layers in the homogenization of a spectral problem in fluid-solid structures
(SIAM PUBLICATIONS, 1998-03)
This paper is devoted to the asymptotic analysis of the spectrum of a mathematical model that describes the vibrations of a coupled fluid-solid periodic structure. In a previous work [Arch. Rational Mech. Anal., 135 (1996), ...
A 2D boundary element formulation to model the constitutive behavior of heterogeneous microstructures considering dissipative phenomena
(2019-02-01)
A boundary element formulation to obtain the constitutive response of heterogeneous microstructures is proposed, considering a RVE-based multiscale theory. The sub-region technique is adopted to model the RVE (Representative ...
Homogenization of a Transmission Problem in Solid Mechanics
(1999)
In this paper we study a simplified model of the behavior of a 3-D solid made
from two elastic homogeneous materials separated by a rapidly oscillating interface.
We study the asymptotic beha¨ior of the solution of such ...
Boussinesq system with non-homogeneous boundary conditions
(2016)
A classical stationary Boussinesq system with non-homogeneous Dirichlet boundary conditions in a bounded domain Omega subset of R-3 is considered in this paper; included is the case of a possibly disconnected boundary. We ...
Partial differential equations with non-homogenous boundary conditions
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 1969)
Boundary value problems of partial differential equations are very often solved by the method of «separation of variables» or Fourier method. The method can be used without any difflculty in homogenous problems, that is, ...
Crack growth analysis in homogeneous orthotropic laminates
(Elsevier Sci LtdOxfordInglaterra, 1998)
An application of the Adomian's decomposition method to the analysis of MHD duct flows
(Institute of Electrical and Electronics Engineers (IEEE), 2005-05-01)
A new approach is proposed in this work for the treatment of boundary value problems through the Adomian's decomposition method. Although frequently claimed as accurate and having fast convergence rates, the original ...
An application of the Adomian's decomposition method to the analysis of MHD duct flows
(Institute of Electrical and Electronics Engineers (IEEE), 2005-05-01)
A new approach is proposed in this work for the treatment of boundary value problems through the Adomian's decomposition method. Although frequently claimed as accurate and having fast convergence rates, the original ...