Highly scalable parallel domain decomposition methods with an application to biomechanics
A Klawonn, O Rheinbach - ZAMM‐Journal of Applied …, 2010 - Wiley Online Library
Highly scalable parallel domain decomposition methods for elliptic partial differential
equations are considered with a special emphasis on problems arising in elasticity. The …
equations are considered with a special emphasis on problems arising in elasticity. The …
[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 …
[图书][B] Numerical models for differential problems
A Quarteroni, S Quarteroni - 2009 - Springer
Alfio Quarteroni Third Edition Page 1 MS&A – Modeling, Simulation and Applications 16
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …
[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 …
[图书][B] Optimal quadratic programming algorithms: with applications to variational inequalities
Z Dostál - 2009 - books.google.com
Solving optimization problems in complex systems often requires the implementation of
advanced mathematical techniques. Quadratic programming (QP) is one technique that …
advanced mathematical techniques. Quadratic programming (QP) is one technique that …
An algebraic theory for primal and dual substructuring methods by constraints
FETI and BDD are two widely used substructuring methods for the solution of large sparse
systems of linear algebraic equations arising from discretization of elliptic boundary value …
systems of linear algebraic equations arising from discretization of elliptic boundary value …
FETI‐DP, BDDC, and block Cholesky methods
J Li, OB Widlund - … journal for numerical methods in engineering, 2006 - Wiley Online Library
Abstract The FETI‐DP and BDDC algorithms are reformulated using Block Cholesky
factorizations, an approach which can provide a useful framework for the design of domain …
factorizations, an approach which can provide a useful framework for the design of domain …
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 …
Dual‐primal FETI methods for linear elasticity
A Klawonn, OB Widlund - … on Pure and Applied Mathematics: A …, 2006 - Wiley Online Library
Dual‐primal FETI methods are nonoverlapping domain decomposition methods where
some of the continuity constraints across subdomain boundaries are required to hold …
some of the continuity constraints across subdomain boundaries are required to hold …