[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 …
[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 …
Block FETI–DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity
A block FETI–DP/BDDC preconditioner for mixed formulations of almost incompressible
elasticity is constructed and analyzed; FETI–DP (Finite Element Tearing and Interconnecting …
elasticity is constructed and analyzed; FETI–DP (Finite Element Tearing and Interconnecting …
Implementation and scalability analysis of balancing domain decomposition methods
In this paper we present a detailed description of a high-performance distributed-memory
implementation of balancing domain decomposition preconditioning techniques. This …
implementation of balancing domain decomposition preconditioning techniques. This …
A nonoverlapping domain decomposition method for incompressible Stokes equations with continuous pressures
J Li, X Tu - SIAM Journal on Numerical Analysis, 2013 - SIAM
A nonoverlapping domain decomposition algorithm is proposed to solve the linear system
arising from mixed finite element approximation of incompressible Stokes equations. A …
arising from mixed finite element approximation of incompressible Stokes equations. A …
A FETI-DP type domain decomposition algorithm for three-dimensional incompressible Stokes equations
X Tu, J Li - SIAM Journal on Numerical Analysis, 2015 - SIAM
The FETI-DP (dual-primal finite element tearing and interconnecting) algorithms, proposed
by the authors in [SIAM J. Numer. Anal., 51 (2013), pp. 1235--1253] and [Internat. J. Numer …
by the authors in [SIAM J. Numer. Anal., 51 (2013), pp. 1235--1253] and [Internat. J. Numer …
BDDC Algorithms for Oseen problems with HDG Discretizations
The balancing domain decomposition by constraints (BDDC) methods are applied to the
linear system arising from the hybridizable discontinuous Galerkin (HDG) discretization of …
linear system arising from the hybridizable discontinuous Galerkin (HDG) discretization of …
Robust BDDC algorithms for the Brinkman problem with HDG discretizations
The balancing domain decomposition by constraints methods (BDDC) have been applied to
solve the saddle point problem arising from a hybridizable discontinuous Galerkin (HDG) …
solve the saddle point problem arising from a hybridizable discontinuous Galerkin (HDG) …
Multilevel BDDC for Incompressible Navier--Stokes Equations
M Hanek, J Šístek, P Burda - SIAM Journal on Scientific Computing, 2020 - SIAM
We present an approach to the numerical solution of steady Navier--Stokes equations.
Approximation by the finite element method (FEM) leads to a nonlinear saddle-point system …
Approximation by the finite element method (FEM) leads to a nonlinear saddle-point system …