[图书][B] Domain decomposition methods-algorithms and theory
A Toselli, O Widlund - 2006 - books.google.com
This book offers a comprehensive presentation of some of the most successful and popular
domain decomposition preconditioners for finite and spectral element approximations of …
domain decomposition preconditioners for finite and spectral element approximations of …
FETI‐DP: a dual–primal unified FETI method—part I: A faster alternative to the two‐level FETI method
C Farhat, M Lesoinne, P LeTallec… - … journal for numerical …, 2001 - Wiley Online Library
The FETI method and its two‐level extension (FETI‐2) are two numerically scalable domain
decomposition methods with Lagrange multipliers for the iterative solution of second‐order …
decomposition methods with Lagrange multipliers for the iterative solution of second‐order …
[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 …
models based on differential equations. Initially, the FEniCS Project consisted of two …
[图书][B] Domain decomposition methods for the numerical solution of partial differential equations
TPA Mathew - 2008 - Springer
These notes serve as an introduction to a subject of study in computational mathematics
referred to as domain decomposition methods. It concerns divide and conquer methods for …
referred to as domain decomposition methods. It concerns divide and conquer methods for …
A scalable dual‐primal domain decomposition method
We blend dual and primal domain decomposition approaches to construct a fast iterative
method for the solution of large-scale systems of equations arising from the finite element …
method for the solution of large-scale systems of equations arising from the finite element …
Dual-primal FETI methods for three-dimensional elliptic problems with heterogeneous coefficients
A Klawonn, OB Widlund, M Dryja - SIAM Journal on Numerical Analysis, 2002 - SIAM
In this paper, certain iterative substructuring methods with Lagrange multipliers are
considered for elliptic problems in three dimensions. The algorithms belong to the family of …
considered for elliptic problems in three dimensions. The algorithms belong to the family of …
FETI and Neumann‐Neumann iterative substructuring methods: connections and new results
A Klawonn, O Widlund - … on Pure and Applied Mathematics: A …, 2001 - Wiley Online Library
Abstract The FETI and Neumann‐Neumann families of algorithms are among the best
known and most severely tested domain decomposition methods for elliptic partial …
known and most severely tested domain decomposition methods for elliptic partial …
On the convergence of a dual-primal substructuring method
In the Dual-Primal FETI method, introduced by Farhat et al. 5, the domain is decomposed
into non-overlapping subdomains, but the degrees of freedom on crosspoints remain …
into non-overlapping subdomains, but the degrees of freedom on crosspoints remain …
Automatic spectral coarse spaces for robust finite element tearing and interconnecting and balanced domain decomposition algorithms
N Spillane, DJ Rixen - International Journal for Numerical …, 2013 - Wiley Online Library
We introduce spectral coarse spaces for the balanced domain decomposition and the finite
element tearing and interconnecting methods. These coarse spaces are specifically …
element tearing and interconnecting methods. These coarse spaces are specifically …
[图书][B] Finite and boundary element tearing and interconnecting solvers for multiscale problems
C Pechstein - 2012 - books.google.com
Tearing and interconnecting methods, such as FETI, FETI-DP, BETI, etc., are among the
most successful domain decomposition solvers for partial differential equations. The …
most successful domain decomposition solvers for partial differential equations. The …