A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods
暂无分享,去创建一个
Hehu Xie | Xiaole Han | Yu Li | Hehu Xie | Yu Li | Xiaole Han
[1] S. Bergman,et al. Kernel Functions and Elliptic Differential Equations in Mathematical Physics , 2005 .
[2] Jun Hu,et al. The Lower Bounds for Eigenvalues of Elliptic Operators --By Nonconforming Finite Element Methods , 2011, 1112.1145.
[3] I. Babuska,et al. Finite element-galerkin approximation of the eigenvalues and Eigenvectors of selfadjoint problems , 1989 .
[4] John E. Osborn,et al. APPROXIMATION OF STEKLOV EIGENVALUES OF NON-SELFADJOINT SECOND ORDER ELLIPTIC OPERATORS , 1972 .
[5] Raytcho D. Lazarov,et al. Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems , 2005 .
[6] Qun Lin,et al. Finite element methods : accuracy and improvement = 有限元方法 : 精度及其改善 , 2006 .
[7] Hai Bi,et al. A two-grid method of the non-conforming Crouzeix-Raviart element for the Steklov eigenvalue problem , 2011, Appl. Math. Comput..
[8] P. Raviart,et al. Conforming and nonconforming finite element methods for solving the stationary Stokes equations I , 1973 .
[9] Dorin Bucur,et al. Asymptotic analysis and scaling of friction parameters , 2006 .
[10] Hehu Xie,et al. Computing the lower and upper bounds of Laplace eigenvalue problem: by combining conforming and nonconforming finite element methods , 2011, 1109.5977.
[11] Philippe G. Ciarlet,et al. The finite element method for elliptic problems , 2002, Classics in applied mathematics.
[12] F. Chatelin. Spectral approximation of linear operators , 2011 .
[13] Jinchao Xu,et al. Local and Parallel Finite Element Algorithms for Eigenvalue Problems , 2002 .
[14] Lin Qun,et al. Stokes Eigenvalue Approximations from Below with Nonconforming Mixed Finite Element Methods , 2010 .
[15] Hehu Xie,et al. Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations , 2013, Applications of Mathematics.
[16] Jinchao Xu,et al. A Novel Two-Grid Method for Semilinear Elliptic Equations , 1994, SIAM J. Sci. Comput..
[17] P. Grisvard. Singularities in Boundary Value Problems , 1992 .
[18] A. Zhou. MULTI-LEVEL ADAPTIVE CORRECTIONS IN FINITE DIMENSIONAL APPROXIMATIONS , 2009 .
[19] L. R. Scott,et al. The Mathematical Theory of Finite Element Methods , 1994 .
[20] H. Ahn. Vibrations of a pendulum consisting of a bob suspended from a wire: the method of integral equations , 1981 .
[21] Jinchao Xu. A new class of iterative methods for nonselfadjoint or indefinite problems , 1992 .
[22] Differential operators with spectral parameter incompletely in the boundary conditions , 1990 .
[23] Jinchao Xu,et al. Iterative Methods by Space Decomposition and Subspace Correction , 1992, SIAM Rev..
[24] Xie He-hu. The Asymptotic Lower Bounds of Eigenvalue Problems by Nonconforming Finite Element Methods , 2012 .
[25] Yidu Yang,et al. A two-grid discretization scheme for the Steklov eigenvalue problem , 2011 .
[26] Alfredo Bermúdez,et al. A finite element solution of an added mass formulation for coupled fluid-solid vibrations , 2000, Numerische Mathematik.
[27] Andrey B. Andreev,et al. Superconvergence Postprocessing for Eigenvalues , 2002 .
[28] Xiaozhe Hu,et al. Corrigendum to: "Acceleration of a two-grid method for eigenvalue problems" , 2011, Math. Comput..
[29] Yidu Yang,et al. The order-preserving convergence for spectral approximation of self-adjoint completely continuous operators , 2008 .
[30] Jinchao Xu,et al. A two-grid discretization scheme for eigenvalue problems , 2001, Math. Comput..
[31] Yidu Yang,et al. Multiscale Discretization Scheme Based on the Rayleigh Quotient Iterative Method for the Steklov Eigenvalue Problem , 2012 .
[32] Hehu Xie,et al. Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems , 2009 .
[33] Hai Bi,et al. Two-Grid Finite Element Discretization Schemes Based on Shifted-Inverse Power Method for Elliptic Eigenvalue Problems , 2011, SIAM J. Numer. Anal..