Multiphysics simulations: Challenges and opportunities
We consider multiphysics applications from algorithmic and architectural perspectives,
where “algorithmic” includes both mathematical analysis and computational complexity, and …
where “algorithmic” includes both mathematical analysis and computational complexity, and …
[图书][B] An introduction to domain decomposition methods: algorithms, theory, and parallel implementation
The purpose of this text is to offer an overview of the most popular domain decomposition
methods for partial differential equations (PDEs). The presentation is kept as much as …
methods for partial differential equations (PDEs). The presentation is kept as much as …
[图书][B] The mathematical theory of finite element methods
SC Brenner - 2008 - Springer
Untitled Page 1 Page 2 15 Texts in Applied Mathematics Editors JE Marsden L. Sirovich SS
Antman Advisors G. Iooss P. Holmes D. Barkley M. Dellnitz P. Newton Page 3 Texts in Applied …
Antman Advisors G. Iooss P. Holmes D. Barkley M. Dellnitz P. Newton Page 3 Texts in Applied …
[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 …
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 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 …
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 …