Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows
暂无分享,去创建一个
[1] A. Ern,et al. Mathematical Aspects of Discontinuous Galerkin Methods , 2011 .
[2] P. Houston,et al. hp–Adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains , 2014 .
[3] Annalisa Buffa,et al. Mimetic finite differences for elliptic problems , 2009 .
[4] Alessandro Colombo,et al. Agglomeration based discontinuous Galerkin discretization of the Euler and Navier-Stokes equations , 2012 .
[5] P. Hansbo,et al. Fictitious domain finite element methods using cut elements , 2012 .
[6] W. Hackbusch,et al. Composite finite elements for the approximation of PDEs on domains with complicated micro-structures , 1997 .
[7] Ivan Yotov,et al. Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes–Darcy flows on polygonal and polyhedral grids , 2013, Numerische Mathematik.
[8] Alessandro Colombo,et al. Agglomeration-based physical frame dG discretizations: An attempt to be mesh free , 2014 .
[9] Stefano Giani,et al. Domain Decomposition Preconditioners for Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains , 2013, Journal of Scientific Computing.
[10] W. Hackbusch,et al. Composite finite elements for problems containing small geometric details , 1997 .
[11] Douglas N. Arnold,et al. Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems , 2001, SIAM J. Numer. Anal..
[12] Gianmarco Manzini,et al. Arbitrary-Order Nodal Mimetic Discretizations of Elliptic Problems on Polygonal Meshes , 2011, SIAM J. Numer. Anal..
[13] N. Sukumar,et al. Extended finite element method on polygonal and quadtree meshes , 2008 .
[14] Peter Hansbo,et al. Fictitious domain finite element methods using cut elements: I. A stabilized Lagrange multiplier method , 2010 .
[15] N. Sukumar,et al. Conforming polygonal finite elements , 2004 .
[16] P. Tesini,et al. On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations , 2012, J. Comput. Phys..
[17] J. Hesthaven,et al. Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications , 2007 .
[18] Seizo Tanaka,et al. Discontinuous Galerkin Methods with Nodal and Hybrid Modal/Nodal Triangular, Quadrilateral, and Polygonal Elements for Nonlinear Shallow Water Flow , 2014 .
[19] Timothy C. Warburton,et al. Nodal discontinuous Galerkin methods on graphics processors , 2009, J. Comput. Phys..
[20] F. Brezzi,et al. Basic principles of Virtual Element Methods , 2013 .
[21] Béatrice Rivière,et al. Discontinuous Galerkin methods for solving elliptic and parabolic equations - theory and implementation , 2008, Frontiers in applied mathematics.
[22] T. Belytschko,et al. The extended/generalized finite element method: An overview of the method and its applications , 2010 .
[23] Bernardo Cockburn. An introduction to the Discontinuous Galerkin method for convection-dominated problems , 1998 .
[24] Peter Hansbo,et al. Interior-penalty-stabilized Lagrange multiplier methods for the finite-element solution of elliptic interface problems , 2010 .
[25] Rolf Rannacher,et al. An optimal control approach to a posteriori error estimation in finite element methods , 2001, Acta Numerica.
[26] Stefano Giani,et al. hp-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains , 2013, SIAM J. Sci. Comput..
[27] Stefano Giani,et al. Domain decomposition preconditioners for discontinuous Galerkin discretizations of compressible fluid flows , 2014 .