Numerical approximation of the Oseen system in polyhedral or polygonal domains
MSC Classification: 65N30 , 65N15We consider the Oseen system with nonhomogeneous Dirichlet boundary conditions, and its approximation by a finite element method (FEM).
Raymond, Jean-Pierre, Badra, Mehdi
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Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle [PDF]
, 2004 . In this paper we consider a hyperbolic-parabolic problem that models the longitudinal deformations of a thermoviscoelastic rod supported unilaterally by an elastic obstacle. The existence and uniqueness of a strong solution is shown.
Maria I.M. Copetti +2 more
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The adaptive finite element method for the Steklov eigenvalue problem in inverse scattering
Open Mathematics, 2020 In this study, for the first time, we discuss the posteriori error estimates and adaptive algorithm for the non-self-adjoint Steklov eigenvalue problem in inverse scattering.
Zhang Yu, Bi Hai, Yang Yidu
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Numerical methods for Lévy processes
, 2009 Multidimensional Lévy processes, Numerical methods, Asset pricing, 60J75, 65N06, 65N30, C63,
Reich, N. +7 more
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Penalty method for unilateral contact problem with Coulomb's friction in time-fractional derivatives
Demonstratio MathematicaThe purpose of this work is to study a mathematical model that describes a contact between a deformable body and a rigid foundation. A linear viscoelastic Kelvin-Voigt constitutive law with time-fractional derivatives describes the material’s behavior ...
Essafi Lakbir, Bouallala Mustapha
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Método del elemento reproductor del núcleo para soluciones de problemas elasto-estáticos.
Ingeniería y Ciencia, 2012 El Método del Elemento Reproductor del Núcleo (RKEM) es una técnica relativamente nueva desarrollada para tener dos propiedades distinguidas: suavidad de orden arbitrario y funciones de interpolación de orden arbitrario.
Mario J Juha
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A fully-discrete finite element approximation for the eddy currents problem
Ingeniería y Ciencia, 2013 The eddy current model is obtained from Maxwell’s equations by neglecting the displacement currents in the Amp`ere-Maxwell’s law and it is commonly used in many problems in sciences, engineering and industry (e.g, in induction heating, electromagnetic ...
Ramiro Acevedo, Gerardo Loaiza
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, 1991 In this paper it is shown that for highly nonuniformly refined triangulations the condition number of the BPX preconditioner for elliptic finite element problems grows at most linearly in the depth of refinement.
Bornemann, Folkmar A.
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Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients [PDF]
, 2001 . Estimates for the combined eect of boundary approximation and numerical integration on the approximation of (simple) eigenvalues and eigenvectors of 4th order eigenvalue problems with variable/constant coecients in convex domains with curved boundary ...
Nataraj, Neela +4 more
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A non-overlapping domain decomposition method for the advection-diffusion problem
, 2000 The application of a non-overlapping domain decomposition method to the solution of a stabilized finite element method for elliptic boundary value problems is considered.
Otto, F. C., Lube, Gert, Mueller, L.
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