[图书][B] Lecture notes in computational science and engineering

TJ Barth, M Griebel, DE Keyes, RM Nieminen, D Roose… - 2005 - Springer
The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …

[HTML][HTML] IETI–isogeometric tearing and interconnecting

SK Kleiss, C Pechstein, B Jüttler, S Tomar - Computer methods in applied …, 2012 - Elsevier
Finite Element Tearing and Interconnecting (FETI) methods are a powerful approach to
designing solvers for large-scale problems in computational mechanics. The numerical …

A FETI-DP formulation of three dimensional elasticity problems with mortar discretization

HH Kim - SIAM journal on numerical analysis, 2008 - SIAM
In this paper, a FETI-DP formulation for three dimensional elasticity on nonmatching grids
over geometrically nonconforming subdomain partitions is considered. To resolve the …

A BDDC method for mortar discretizations using a transformation of basis

HH Kim, M Dryja, OB Widlund - SIAM Journal on Numerical Analysis, 2009 - SIAM
A BDDC (balancing domain decomposition by constraints) method is developed for elliptic
equations, with discontinuous coefficients, discretized by mortar finite element methods for …

A Neumann--Dirichlet preconditioner for a FETI-DP formulation of the two-dimensional Stokes problem with mortar methods

HH Kim, CO Lee - SIAM Journal on Scientific Computing, 2006 - SIAM
A FETI-DP (dual-primal finite element tearing and interconnecting) formulation for the two-
dimensional Stokes problem with mortar methods is considered. Separate sets of unknowns …

A BDDC algorithm for mortar discretization of elasticity problems

HH Kim - SIAM journal on numerical analysis, 2008 - SIAM
A balancing domain decomposition by constraints (BDDC) algorithm is developed for
compressible elasticity problems in three dimensions with mortar discretization on …

A FETI–DP formulation for the three-dimensional Stokes problem without primal pressure unknowns

HH Kim, CO Lee - SIAM Journal on Scientific Computing, 2010 - SIAM
A FETI–DP (dual-primal finite element tearing and interconnecting) algorithm for the three-
dimensional Stokes problem is developed and analyzed. This is an extension of the …

A two‐level nonoverlapping Schwarz algorithm for the Stokes problem without primal pressure unknowns

HH Kim, CO Lee - … journal for numerical methods in engineering, 2011 - Wiley Online Library
A two‐level nonoverlapping Schwarz algorithm is developed for the Stokes problem. The
main feature of the algorithm is that a mixed problem with both velocity and pressure …

[PDF][PDF] A FETI-DP preconditioner for mortar methods in three dimensions

HH Kim - Electron. Trans. Numer. Anal, 2007 - emis.dsd.sztaki.hu
A FETI-DP method is developed for three dimensional elliptic problems with mortar
discretization. Mortar matching conditions are considered as the continuity constraints in the …

[HTML][HTML] On the selection of primal unknowns for a FETI-DP formulation of the Stokes problem in two dimensions

HH Kim, CO Lee, EH Park - Computers & Mathematics with Applications, 2010 - Elsevier
Selection of primal unknowns is important in convergence of FETI-DP (dual-primal finite
element tearing and interconnecting) methods, which are known to be the most scalable …