Enhanced balancing Neumann–Neumann preconditioning in computational fluid and solid mechanics
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[1] C. Farhat,et al. The second generation FETI methods and their application to the parallel solution of large-scale linear and geometrically non-linear structural analysis problems , 2000 .
[2] L. R. Scott,et al. The Mathematical Theory of Finite Element Methods , 1994 .
[3] Vipin Kumar,et al. Introduction to Parallel Computing , 1994 .
[4] M. Géradin,et al. ON THE GENERAL SOLUTION BY A DIRECT METHOD OF A LARGE-SCALE SINGULAR SYSTEM OF LINEAR EQUATIONS : APPLICATION TO THE ANALYSIS OF FLOATING STRUCTURES , 1998 .
[5] S. Nepomnyaschikh,et al. Domain Decomposition Methods , 2007 .
[6] Olaf Schenk,et al. Solving unsymmetric sparse systems of linear equations with PARDISO , 2004, Future Gener. Comput. Syst..
[7] J. Meijerink,et al. An Efficient Preconditioned CG Method for the Solution of a Class of Layered Problems with Extreme Contrasts in the Coefficients , 1999 .
[8] Xuemin Tu. Three-Level BDDC in Three Dimensions , 2007, SIAM J. Sci. Comput..
[9] Rainald Löhner,et al. Deflated preconditioned conjugate gradient solvers for the Pressure-Poisson equation , 2008, J. Comput. Phys..
[10] Susanne C. Brenner,et al. Balancing domain decomposition for nonconforming plate elements , 1999, Numerische Mathematik.
[11] A. George. Nested Dissection of a Regular Finite Element Mesh , 1973 .
[12] Santiago Badia,et al. Implementation and Scalability Analysis of Balancing Domain Decomposition Methods , 2013 .
[13] J. Mandel. Balancing domain decomposition , 1993 .
[14] Audra E. Kosh,et al. Linear Algebra and its Applications , 1992 .
[15] C. Farhat,et al. A method of finite element tearing and interconnecting and its parallel solution algorithm , 1991 .
[16] Z. Dostál,et al. Cholesky decomposition with fixing nodes to stable computation of a generalized inverse of the stiffness matrix of a floating structure , 2011 .
[17] Rainald Löhner,et al. Deflated preconditioned conjugate gradient solvers for linear elasticity , 2011 .
[18] CLARK R. DOHRMANN,et al. A Preconditioner for Substructuring Based on Constrained Energy Minimization , 2003, SIAM J. Sci. Comput..
[19] R. Codina,et al. Algebraic Pressure Segregation Methods for the Incompressible Navier-Stokes Equations , 2007 .
[20] Howard C. Elman,et al. Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics , 2014 .
[21] Jan Mandel,et al. Adaptive-Multilevel BDDC and its parallel implementation , 2013, Computing.
[22] Nicholas I. M. Gould,et al. A numerical evaluation of sparse direct solvers for the solution of large sparse symmetric linear systems of equations , 2007, TOMS.
[23] Gene H. Golub,et al. Matrix computations , 1983 .
[24] Luca F. Pavarino,et al. Positive definite balancing Neumann–Neumann preconditioners for nearly incompressible elasticity , 2006, Numerische Mathematik.
[25] Olof B. Widlund,et al. Dual‐primal FETI methods for linear elasticity , 2006 .
[26] Barry Lee,et al. Finite elements and fast iterative solvers: with applications in incompressible fluid dynamics , 2006, Math. Comput..
[27] D. Braess. Finite Elements: Finite Elements , 2007 .
[28] Pavel Burda,et al. Face-based selection of corners in 3D substructuring , 2009, Math. Comput. Simul..
[29] Vipin Kumar,et al. A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs , 1998, SIAM J. Sci. Comput..
[30] Abhishek Kumar Gupta,et al. Wsmp: watson sparse matrix package , 2000 .
[31] Manolis Papadrakakis,et al. An integrated geometric?algebraic method for solving semi-definite problems in structural mechanics , 2001 .
[32] Cornelis Vuik,et al. Comparison of Two-Level Preconditioners Derived from Deflation, Domain Decomposition and Multigrid Methods , 2009, J. Sci. Comput..
[33] Clark R. Dohrmann,et al. Multispace and multilevel BDDC , 2007, Computing.
[34] Patrick Le Tallec,et al. A Neumann--Neumann Domain Decomposition Algorithm for Solving Plate and Shell Problems , 1995 .
[35] Frédéric Guyomarc'h,et al. A Deflated Version of the Conjugate Gradient Algorithm , 1999, SIAM J. Sci. Comput..
[36] D. Braess. Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics , 1995 .
[37] J. Mandel,et al. Adaptive selection of face coarse degrees of freedom in the BDDC and the FETI-DP iterative substructuring methods , 2007 .
[38] C. Farhat,et al. A scalable dual-primal domain decomposition method , 2000, Numer. Linear Algebra Appl..
[39] Clark R. Dohrmann,et al. Convergence of a balancing domain decomposition by constraints and energy minimization , 2002, Numer. Linear Algebra Appl..
[40] J. Mandel,et al. An algebraic theory for primal and dual substructuring methods by constraints , 2005 .
[41] D. Rixen,et al. FETI‐DP: a dual–primal unified FETI method—part I: A faster alternative to the two‐level FETI method , 2001 .
[42] Guillaume Houzeaux,et al. Deflated preconditioned conjugate gradient solvers for the pressure‐Poisson equation: Extensions and improvements , 2011 .