A discrete Helmholtz decomposition with Morley finite element functions and the optimality of adaptive finite element schemes
暂无分享,去创建一个
[1] L. R. Scott,et al. Finite element interpolation of nonsmooth functions satisfying boundary conditions , 1990 .
[2] Carsten Carstensen,et al. The Adaptive Nonconforming FEM for the Pure Displacement Problem in Linear Elasticity is Optimal and Robust , 2012, SIAM J. Numer. Anal..
[3] Shipeng Mao,et al. A Convergent Nonconforming Adaptive Finite Element Method with Quasi-Optimal Complexity , 2010, SIAM J. Numer. Anal..
[4] Susanne C. Brenner,et al. Chapter 4 Finite Element Methods , 2004 .
[5] Rob P. Stevenson,et al. Optimality of a Standard Adaptive Finite Element Method , 2007, Found. Comput. Math..
[6] Jun Hu,et al. A new a posteriori error estimate for the Morley element , 2009, Numerische Mathematik.
[7] Carsten Carstensen,et al. Optimal adaptive nonconforming FEM for the Stokes problem , 2013, Numerische Mathematik.
[8] Wang Ming,et al. The Morley element for fourth order elliptic equations in any dimensions , 2006, Numerische Mathematik.
[9] Xiaobing Feng,et al. Analysis of Galerkin Methods for the Fully Nonlinear Monge-Ampère Equation , 2007, J. Sci. Comput..
[10] Wolfgang Dahmen,et al. Adaptive Finite Element Methods with convergence rates , 2004, Numerische Mathematik.
[11] Thirupathi Gudi,et al. A new error analysis for discontinuous finite element methods for linear elliptic problems , 2010, Math. Comput..
[12] Xuehai Huang,et al. Convergence of an Adaptive Mixed Finite Element Method for Kirchhoff Plate Bending Problems , 2011, SIAM J. Numer. Anal..
[13] Jun Hu,et al. A posteriori error estimates for nonconforming finite element methods for fourth-order problems on rectangles , 2012, Numerische Mathematik.
[14] Hella Rabus. A Natural Adaptive Nonconforming FEM Of Quasi-Optimal Complexity , 2010, Comput. Methods Appl. Math..
[15] P. Grisvard. Singularities in Boundary Value Problems , 1992 .
[16] Christian Kreuzer,et al. Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method , 2008, SIAM J. Numer. Anal..
[17] Rolf Stenberg,et al. A posteriori error analysis for the Morley plate element with general boundary conditions , 2010 .
[18] Carsten Carstensen,et al. Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems , 2014, Math. Comput..
[19] Michel Fortin,et al. Mixed and Hybrid Finite Element Methods , 2011, Springer Series in Computational Mathematics.
[20] Dietrich Braess. Finite Elements: Introduction , 2007 .
[21] Rolf Stenberg,et al. A posteriori error estimates for the Morley plate bending element , 2007, Numerische Mathematik.
[22] Jun Hu,et al. Convergence and Optimality of the Adaptive Nonconforming Linear Element Method for the Stokes Problem , 2012, Journal of Scientific Computing.
[23] L. Morley. The Triangular Equilibrium Element in the Solution of Plate Bending Problems , 1968 .
[24] ROB STEVENSON,et al. The completion of locally refined simplicial partitions created by bisection , 2008, Math. Comput..
[25] Larry L. Schumaker,et al. Finite Elements: Theory, Fast Solvers, and Applications in Elasticity Theory , 2007 .
[26] Carsten Carstensen,et al. Remarks around 50 lines of Matlab: short finite element implementation , 1999, Numerical Algorithms.
[27] Philippe G. Ciarlet,et al. The finite element method for elliptic problems , 2002, Classics in applied mathematics.
[28] Jun Hu,et al. Convergence and optimality of the adaptive Morley element method , 2012, Numerische Mathematik.
[29] Stefan A. Funken,et al. Efficient implementation of adaptive P1-FEM in Matlab , 2011, Comput. Methods Appl. Math..
[30] Carsten Carstensen,et al. Axioms of adaptivity , 2013, Comput. Math. Appl..
[31] Roland Glowinski,et al. Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations , 2013, SIAM Rev..
[32] Shipeng Mao,et al. Quasi-Optimality of Adaptive Nonconforming Finite Element Methods for the Stokes Equations , 2011, SIAM J. Numer. Anal..
[33] Michael Neilan,et al. A nonconforming Morley finite element method for the fully nonlinear Monge-Ampère equation , 2010, Numerische Mathematik.
[34] Thomas J. R. Hughes,et al. Encyclopedia of computational mechanics , 2004 .