[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 …
Software concepts and numerical algorithms for a scalable adaptive parallel finite element method
T Witkowski, S Ling, S Praetorius, A Voigt - Advances in computational …, 2015 - Springer
An efficient implementation of an adaptive finite element method on distributed memory
systems requires an efficient linear solver. Most solver methods, which show scalability to a …
systems requires an efficient linear solver. Most solver methods, which show scalability to a …
Isogeometric BDDC preconditioners with deluxe scaling
A balancing domain decomposition by constraints (BDDC) preconditioner with a novel
scaling, introduced by Dohrmann for problems with more than one variable coefficient and …
scaling, introduced by Dohrmann for problems with more than one variable coefficient and …
[PDF][PDF] A unified framework for adaptive BDDC
C Pechstein, CR Dohrmann - Electron. Trans. Numer. Anal, 2017 - etna.math.kent.edu
In this theoretical study, we explore how to automate the selection of weights and primal
constraints in BDDC methods for general SPD problems. In particular, we address the three …
constraints in BDDC methods for general SPD problems. In particular, we address the three …
Multilevel balancing domain decomposition at extreme scales
In this paper we present a fully distributed, communicator-aware, recursive, and interlevel-
overlapped message-passing implementation of the multilevel balancing domain …
overlapped message-passing implementation of the multilevel balancing domain …
Adaptive BDDC in three dimensions
The adaptive BDDC method is extended to the selection of face constraints in three
dimensions. A new implementation of the BDDC method is presented based on a global …
dimensions. A new implementation of the BDDC method is presented based on a global …
Multilevel balancing domain decomposition by constraints deluxe algorithms with adaptive coarse spaces for flow in porous media
Multilevel balancing domain decomposition by constraints (BDDC) deluxe algorithms are
developed for the saddle point problems arising from mixed formulations of Darcy flow in …
developed for the saddle point problems arising from mixed formulations of Darcy flow in …
A multilevel FETI‐DP method and its performance for problems with billions of degrees of freedom
A multilevel generalization of the dual‐primal finite element tearing and interconnecting
(FETI‐DP) domain decomposition method is proposed for very large‐scale discrete …
(FETI‐DP) domain decomposition method is proposed for very large‐scale discrete …
Adaptive-multilevel BDDC and its parallel implementation
We combine the adaptive and multilevel approaches to the BDDC and formulate a method
which allows an adaptive selection of constraints on each decomposition level. We also …
which allows an adaptive selection of constraints on each decomposition level. We also …
A highly scalable parallel implementation of balancing domain decomposition by constraints
In this work we propose a novel parallelization approach of two-level balancing domain
decomposition by constraints preconditioning based on overlapping of fine-grid and coarse …
decomposition by constraints preconditioning based on overlapping of fine-grid and coarse …