Approximation of feedback gains for the Oseen system
2000 MSC: 93B52, 65N30, 65N15, 76D55, 76D05, 35Q35We consider the Oseen system with a Dirichlet boundary control, and its semidiscrete approximation by a finite element method (FEM).
Raymond, Jean-Pierre, Badra, Mehdi
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Convergence of multi-revolution composition time-splitting methods for highly oscillatory differential equations of Schrödinger type [PDF]
, 2017 International audienceThe convergence behaviour of multi-revolution composition methods combined with time-splitting methods is analysed for highly oscillatory linear differential equations of Schrödinger type.
Thalhammer, Mechthild +7 more
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Adaptive FEM and CIPFEM for a nonlinear Helmholtz equation with high wave number
European Journal of Applied MathematicsA nonlinear Helmholtz (NLH) equation with high frequencies and corner singularities is discretized by the linear finite element method (FEM) and the continuous interior penalty finite element method (CIPFEM).
Run Jiang, Haijun Wu, Yifeng Xu, Jun Zou
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An Adaptive Finite Element Method for Convection-Diffusion Problems by Interpolation Techniques.
, 1991 For adaptive solution of convection- difussion problems with the streamline-diffusion finite element method, an error estimator based on interpolation techniques is developed.
Lang, Jens
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A virtual volume method for heterogeneous and anisotropic diffusion-reaction problems on general meshes [PDF]
, 2017 International audienceStarting from the recently introduced virtual element method, we construct new diffusion fluxes in two and three dimensions that give birth to symmetric, unconditionally coercive finite volume like schemes for the discretization of ...
Julien Coatléven, Coatléven, Julien
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A posteriori error estimation for anisotropic tetrahedral and triangular finite element meshes [PDF]
, 1999 Many physical problems lead to boundary value problems for partial differential equations, which can be solved with the finite element method. In order to construct adaptive solution algorithms or to measure the error one aims at reliable a posteriori ...
Kunert, Gerd
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© Hindawi Publishing Corp. L∞-ERROR ESTIMATE FOR A SYSTEM OF ELLIPTIC QUASIVARIATIONAL INEQUALITIES
, 2001 We deal with the numerical analysis of a system of elliptic quasivariational inequal-ities (QVIs). Under W2,p(Ω)-regularity of the continuous solution, a quasi-optimal L∞-convergence of a piecewise linear finite element method is established, involv-ing ...
M. Haiour, S. Saadi, M. Boulbrachene
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PARALLEL IMPLEMENTATIONS OF THE FAST SWEEPING METHOD
, 2008 . The fast sweeping method is an efficient iterative method for hyperbolic problems. It combines Gauss-Seidel iteration with alternating sweeping ordering. In this paper several parallel implementations of the fast sweeping method are presented.
Hongkai Zhao
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A LOCAL COMPUTATIONAL SCHEME FOR HIGHER ORDER FINITE ELEMENT EIGENVALUE APPROXIMATIONS ∗
, 2008 . Based on some coupled discretizations, a local computational scheme is proposed and analyzed in this paper for a class of higher order finite element eigenvalue approximations. Its efficiency is proven by theoretical and numerical evidences.
Aihui Zhou, Lihua Shen, Xiaoying Dai
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, 2008 A new procedure for accelerating the convergence of mixed finite element approximations of the eigenpairs and of the biharmonic operator is proposed. It is based on a postprocessing technique that involves an additional solution of a source problem on an
A. B. Andreev +2 more
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