An adaptive least-squares FEM for the Stokes equations with optimal convergence rates
暂无分享,去创建一个
[1] Dongho Kim,et al. A Priori and A Posteriori Pseudostress-velocity Mixed Finite Element Error Analysis for the Stokes Problem , 2011, SIAM J. Numer. Anal..
[2] Long Chen,et al. Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations , 2011, Math. Comput..
[3] Carsten Carstensen,et al. Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis , 2004, Numerische Mathematik.
[4] L. R. Scott,et al. Finite element interpolation of nonsmooth functions satisfying boundary conditions , 1990 .
[5] L. R. Scott,et al. The Mathematical Theory of Finite Element Methods , 1994 .
[6] Jun Hu,et al. Convergence and Optimality of the Adaptive Nonconforming Linear Element Method for the Stokes Problem , 2012, Journal of Scientific Computing.
[7] ROB STEVENSON,et al. The completion of locally refined simplicial partitions created by bisection , 2008, Math. Comput..
[8] Carsten Carstensen,et al. An a posteriori error estimate for a first-kind integral equation , 1997, Math. Comput..
[9] Shipeng Mao,et al. Quasi-Optimality of Adaptive Nonconforming Finite Element Methods for the Stokes Equations , 2011, SIAM J. Numer. Anal..
[10] Ping Wang,et al. Least-Squares Methods for Incompressible Newtonian Fluid Flow: Linear Stationary Problems , 2004, SIAM J. Numer. Anal..
[11] Thomas A. Manteuffel,et al. LOCAL ERROR ESTIMATES AND ADAPTIVE REFINEMENT FOR FIRST-ORDER SYSTEM LEAST SQUARES (FOSLS) , 1997 .
[12] Carsten Carstensen,et al. An optimal adaptive mixed finite element method , 2011, Math. Comput..
[13] Michael Feischl,et al. Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data☆ , 2014, J. Comput. Appl. Math..
[14] Carsten Carstensen,et al. Optimal adaptive nonconforming FEM for the Stokes problem , 2013, Numerische Mathematik.
[15] Panayot S. Vassilevski,et al. Mixed finite element methods for incompressible flow: Stationary Stokes equations , 2010 .
[16] Carsten Carstensen,et al. Quasi-optimal Adaptive Pseudostress Approximation of the Stokes Equations , 2013, SIAM J. Numer. Anal..
[17] Lei Tang,et al. Efficiency Based Adaptive Local Refinement for First-Order System Least-Squares Formulations , 2011, SIAM J. Sci. Comput..
[18] Carsten Carstensen,et al. Axioms of adaptivity , 2013, Comput. Math. Appl..
[19] Wolfgang Dahmen,et al. Adaptive Finite Element Methods with convergence rates , 2004, Numerische Mathematik.
[20] Ronald A. DeVore,et al. Fast computation in adaptive tree approximation , 2004, Numerische Mathematik.
[21] Rob P. Stevenson,et al. Optimality of a Standard Adaptive Finite Element Method , 2007, Found. Comput. Math..
[22] M. Fortin,et al. Mixed Finite Element Methods and Applications , 2013 .
[23] Pavel B. Bochev,et al. Mathematical Foundations of Least-Squares Finite Element Methods , 2009 .
[24] C. Carstensen,et al. L2 best approximation of the elastic stress in the Arnold–Winther FEM , 2016 .
[25] Zhiqiang Cai,et al. A Multigrid Method for the Pseudostress Formulation of Stokes Problems , 2007, SIAM J. Sci. Comput..
[26] Michael Feischl,et al. Each H1/2–stable projection yields convergence and quasi–optimality of adaptive FEM with inhomogeneous Dirichlet data in Rd , 2013 .
[27] Carsten Carstensen,et al. Convergence and Optimality of Adaptive Least Squares Finite Element Methods , 2015, SIAM J. Numer. Anal..
[28] Christian Kreuzer,et al. Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method , 2008, SIAM J. Numer. Anal..