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] 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 …
[HTML][HTML] IETI–isogeometric tearing and interconnecting
Finite Element Tearing and Interconnecting (FETI) methods are a powerful approach to
designing solvers for large-scale problems in computational mechanics. The numerical …
designing solvers for large-scale problems in computational mechanics. The numerical …
[图书][B] Finite and boundary element tearing and interconnecting solvers for multiscale problems
C Pechstein - 2012 - books.google.com
Tearing and interconnecting methods, such as FETI, FETI-DP, BETI, etc., are among the
most successful domain decomposition solvers for partial differential equations. The …
most successful domain decomposition solvers for partial differential equations. The …
[图书][B] Preconditioning and the conjugate gradient method in the context of solving PDEs
Our times can be characterized by, among many other attributes, the seemingly increasing
speed of everything. Within science, it has led to the publication explosion, which reflects the …
speed of everything. Within science, it has led to the publication explosion, which reflects the …
Nonlinear feti-dp and bddc methods
New nonlinear FETI-DP (dual-primal finite element tearing and interconnecting) and BDDC
(balancing domain decomposition by constraints) domain decomposition methods are …
(balancing domain decomposition by constraints) domain decomposition methods are …
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 …
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 …
Deflation, projector preconditioning, and balancing in iterative substructuring methods: connections and new results
A Klawonn, O Rheinbach - SIAM Journal on Scientific Computing, 2012 - SIAM
In this paper, projector preconditioning, also known as the deflation method, as well as the
balancing preconditioner are applied to the dual-primal finite element tearing and …
balancing preconditioner are applied to the dual-primal finite element tearing and …
Dual-primal methods for the cardiac bidomain model
S Zampini - Mathematical Models and Methods in Applied …, 2014 - World Scientific
The cardiac Bidomain model consists in a reaction–diffusion system of partial differential
equations which is often discretized by low-order finite elements in space and implicit …
equations which is often discretized by low-order finite elements in space and implicit …