Lapin, A.
October 2009
Computational Methods in Applied Mathematics;2009, Vol. 9 Issue 4, p354
Academic Journal
A mixed hybrid finite element method has been applied to a variational inequality with a potential second-order quasi-linear differential operator. The Lagrange multiplier method for a dual problem has been used to construct this finite element scheme. The existence and uniqueness of a solution for the resulting finite- dimensional problem has been proved, the solution iterative methods are discussed. The non-overlapping domain decomposition method combined with the mixed hybrid finite element approximation is analyzed.


Related Articles

  • EFFICIENT ANALYSIS OF SCATTERING FROM MULTIPLE 3-D CAVITIES BY MEANS OF A FE-BI-DDM METHOD. Cui, Z.-W.; Han, Y.-P.; Li, C.-Y.; Zhao, W.-J. // Progress in Electromagnetics Research;Jul2011, Vol. 116, p425 

    A finite element-boundary integral-domain decomposition method is presented for analyzing electromagnetic scattering problems involving multiple three-dimensional cavities. Specifically, the edge-based finite element method is applied inside each cavity to derive a linear system of equations...

  • Reconstruction of a spacewise-dependent heat source in a time-dependent heat diffusion process. D'haeyer, Sam; Johansson, B. Tomas; Slodička, Marián // IMA Journal of Applied Mathematics;Feb2014, Vol. 79 Issue 1, p33 

    We investigate the inverse problem of determining a spacewise-dependent heat source in the parabolic heat equation, where the governing heat operator has coefficients that depend both on space and time. The aim is to recover a spacewise-dependent heat source, given the usual conditions of the...

  • An iterative adaptive hp-FEM method for non-symmetric elliptic eigenvalue problems. Solin, Pavel; Giani, Stefano // Computing;May2013 Supplement, Vol. 95, p183 

    We present a novel adaptive higher-order finite element ( hp-FEM) algorithm to solve non-symmetric elliptic eigenvalue problems. This is an extension of our prior work on symmetric elliptic eigenvalue problems. The method only needs to make one call to a generalized eigensolver on the coarse...

  • Semi-coarsening AMLI preconditioning of higher order elliptic problems. Kraus, J.; Lymbery, M.; Margenov, S. // AIP Conference Proceedings;Oct2012, Vol. 1487 Issue 1, p30 

    The present paper presents the construction of a robust multilevel preconditioner for anisotropic bicubic finite element (FE) elliptic problems. More precisely, the behavior of the constant in the strengthened CBS inequality, which is important for studying (approximate) block factorizations of...

  • New Trends in Taylor Series Based Computations. Kunovský, Jiří; Kraus, Michal; Šátek, Václav // AIP Conference Proceedings;9/9/2009, Vol. 1168 Issue 1, p282 

    Motto: For the derivatives of all decent functions analytic formulas can be found but with integration this is only true for very special decent functions. The aim of our paper is to describe a new modern numerical method based on the Taylor Series Method and to show how to evaluate the high...

  • Modified Block SSOR Preconditioners for Symmetric Positive Definite Linear Systems. Zhong-Zhi Bai // Annals of Operations Research;2001, Vol. 103 Issue 1-4, p263 

    A class of modified block SSOR preconditioners is presented for the symmetric positive definite systems of linear equations, whose coefficient matrices come from the hierarchical-basis finite-element discretizations of the second-order self-adjoint elliptic boundary value problems. These...

  • An Adaptive Nonconforming Finite Element Algorithm for Laplace Eigenvalue Problem. Yuanyuan Yu; Yidu Yang; Jiayu Han // Abstract & Applied Analysis;2014, p1 

    We establish Crouzeix-Raviart element adaptive algorithm based on Rayleigh quotient iteration and give its a priori/a posteriori error estimates. Our algorithm is performed under the package of Chen, and satisfactory numerical results are obtained.

  • Flexural Free Vibrations of Multistep Nonuniform Beams. Tan, Guojin; Wang, Wensheng; Jiao, Yubo // Mathematical Problems in Engineering;11/3/2016, p1 

    This paper presents an exact approach to investigate the flexural free vibrations of multistep nonuniform beams. Firstly, one-step beam with moment of inertia and mass per unit length varying as I(x)=α11+βxr+4 and m(x)=α21+βxr was studied. By using appropriate transformations, the...

  • Analytical solution of two model equations for shallow water waves and their extended model equations by Adomian's decomposition and He's variational iteration methods. Safari, Mehdi // WSEAS Transactions on Mathematics;Jan2013, Vol. 12 Issue 1, p1 

    In this paper two model equations for shallow water waves and their extended models were considered. Adomian's decomposition method (ADM) and variational iteration method (VIM) have been employed to solve them. Large classes of linear and nonlinear differential equations, both ordinary as well...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics