A stopping criterion for the conjugate gradient algorithm in a finite element method framework
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[1] Serena Morigi,et al. An iterative method with error estimators , 2001 .
[2] MARIO ARIOLI,et al. A Backward Error Analysis of a Null Space Algorithm in Sparse Quadratic Programming , 2001, SIAM J. Matrix Anal. Appl..
[3] Ivo Babuška,et al. Computer‐based proof of the existence of superconvergence points in the finite element method; superconvergence of the derivatives in finite element solutions of Laplace's, Poisson's, and the elasticity equations , 1996 .
[4] Iain S. Duff,et al. Stopping Criteria for Iterative Solvers , 1992, SIAM J. Matrix Anal. Appl..
[5] M. Hestenes,et al. Methods of conjugate gradients for solving linear systems , 1952 .
[6] Gérard Meurant. The computation of bounds for the norm of the error in the conjugate gradient algorithm , 2004, Numerical Algorithms.
[7] I. Babuska. Error-bounds for finite element method , 1971 .
[8] Owe Axelsson,et al. Error norm estimation and stopping criteria in preconditioned conjugate gradient iterations , 2001, Numer. Linear Algebra Appl..
[9] Serena Morigi,et al. Computable error bounds and estimates for the conjugate gradient method , 2000, Numerical Algorithms.
[10] G. Golub,et al. Matrices, moments and quadrature II; How to compute the norm of the error in iterative methods , 1997 .
[11] Z. Strakos,et al. On error estimation in the conjugate gradient method and why it works in finite precision computations. , 2002 .
[12] P. Grisvard,et al. Singularities in Boundary Value Problems and Exact Controllability of Hyperbolic Systems , 1992 .
[13] G. Meurant. Computer Solution of Large Linear Systems , 1999 .
[14] Philippe G. Ciarlet,et al. The finite element method for elliptic problems , 2002, Classics in applied mathematics.
[15] Gérard Meurant,et al. Numerical experiments in computing bounds for the norm of the error in the preconditioned conjugate gradient algorithm , 1999, Numerical Algorithms.
[16] T. Dupont,et al. Polynomial approximation of functions in Sobolev spaces , 1980 .
[17] L. Wahlbin. Superconvergence in Galerkin Finite Element Methods , 1995 .
[18] M. Arioli,et al. Stopping criteria for iterative methods:¶applications to PDE's , 2001 .
[19] Gene H. Golub,et al. Estimates in quadratic formulas , 1994, Numerical Algorithms.
[20] Mei Han An,et al. accuracy and stability of numerical algorithms , 1991 .
[21] Paul E. Saylor,et al. The Role of the Inner Product in Stopping Criteria for Conjugate Gradient Iterations , 2001 .
[22] Ivo Babugka,et al. A Finite Element Scheme for Domains with Corners , 2022 .
[23] Anne Greenbaum,et al. Iterative methods for solving linear systems , 1997, Frontiers in applied mathematics.