[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] 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 …
[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 …
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 …
BDDC and FETI-DP for the virtual element method
S Bertoluzza, M Pennacchio, D Prada - Calcolo, 2017 - Springer
We build and analyze balancing domain decomposition by constraint and finite element
tearing and interconnecting dual primal preconditioners for elliptic problems discretized by …
tearing and interconnecting dual primal preconditioners for elliptic problems discretized by …
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 …
BDDC preconditioners for spectral element discretizations of almost incompressible elasticity in three dimensions
LF Pavarino, OB Widlund, S Zampini - SIAM Journal on Scientific Computing, 2010 - SIAM
Balancing domain decomposition by constraints (BDDC) algorithms are constructed and
analyzed for the system of almost incompressible elasticity discretized with Gauss–Lobatto …
analyzed for the system of almost incompressible elasticity discretized with Gauss–Lobatto …
Application of the parallel BDDC preconditioner to the Stokes flow
A parallel implementation of the Balancing Domain Decomposition by Constraints (BDDC)
method is described. It is based on formulation of BDDC with global matrices without explicit …
method is described. It is based on formulation of BDDC with global matrices without explicit …
FETI-DP for the three dimensional virtual element method
S Bertoluzza, M Pennacchio, D Prada - SIAM Journal on Numerical Analysis, 2020 - SIAM
We deal with the finite element tearing and interconnecting dual primal preconditioner for
elliptic problems discretized by the virtual element method. We extend the result of [S …
elliptic problems discretized by the virtual element method. We extend the result of [S …
Dual-primal domain decomposition method for uncertainty quantification
The spectral stochastic finite element method (SSFEM) may offer an efficient alternative to
the traditional Monte Carlo simulations (MCS) for uncertainty quantification of large-scale …
the traditional Monte Carlo simulations (MCS) for uncertainty quantification of large-scale …