[BOOK][B] Computational contact and impact mechanics: fundamentals of modeling interfacial phenomena in nonlinear finite element analysis

TA Laursen - 2013 - books.google.com
Many physical systems require the description of mechanical interaction across interfaces if
they are to be successfully analyzed. Examples in the engineered world range from the …

[BOOK][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 …

[BOOK][B] Multilevel block factorization preconditioners: Matrix-based analysis and algorithms for solving finite element equations

PS Vassilevski - 2008 - books.google.com
This monograph is the first to provide a comprehensive, self-contained and rigorous
presentation of some of the most powerful preconditioning methods for solving finite element …

Mortar contact formulations for deformable–deformable contact: past contributions and new extensions for enriched and embedded interface formulations

TA Laursen, MA Puso, J Sanders - Computer methods in applied …, 2012 - Elsevier
The past 10–15 years have seen important extensions of the mortar method, a technique for
joining dissimilar grids popularized by the domain decomposition community, to the more …

A 3D mortar method for solid mechanics

MA Puso - International Journal for Numerical Methods in …, 2004 - Wiley Online Library
A version of the mortar method is developed for tying arbitrary dissimilar 3D meshes with a
focus on issues related to large deformation solid mechanics. Issues regarding momentum …

Hybrid PN-SN with Lagrange multiplier and upwinding for the multiscale transport capability in Rattlesnake

Y Wang, S Schunert, M DeHart, R Martineau… - Progress in Nuclear …, 2017 - Elsevier
Two interface conditions, the Lagrange multiplier method and the upwinding method, for
hybrid P NS N calculations are proposed for the self-adjoint angular flux (SAAF) formulation …

Monotone multigrid methods on nonmatching grids for nonlinear multibody contact problems

BI Wohlmuth, RH Krause - SIAM journal on scientific computing, 2003 - SIAM
Nonconforming domain decomposition techniques provide a powerful tool for the numerical
approximation of partial differential equations. We use a generalized mortar method based …

[BOOK][B] Stability estimates for hybrid coupled domain decomposition methods

O Steinbach - 2003 - books.google.com
Domain decomposition methods are a well established tool for an efficient numerical
solution of partial differential equations, in particular for the coupling of different model …

Stable Lagrange multipliers for quadrilateral meshes of curved interfaces in 3D

B Flemisch, BI Wohlmuth - Computer Methods in Applied Mechanics and …, 2007 - Elsevier
For the discretization of coupled problems by means of mortar finite elements, the choice of
the discrete Lagrange multiplier space is of crucial importance for the performance of the …

[BOOK][B] Theorie und Numerik elliptischer Differentialgleichungen

W Hackbusch - 1986 - Springer
Theorie und Numerik elliptischer Differentialgleichungen Page 1 Theorie und Numerik
elliptischer Differentialgleichungen 4. Auflage Wolfgang Hackbusch Page 2 Theorie und …