[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 …
Efficient exascale discretizations: High-order finite element methods
Efficient exploitation of exascale architectures requires rethinking of the numerical
algorithms used in many large-scale applications. These architectures favor algorithms that …
algorithms used in many large-scale applications. These architectures favor algorithms that …
[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 …
PCBDDC: a class of robust dual-primal methods in PETSc
S Zampini - SIAM Journal on Scientific Computing, 2016 - SIAM
A class of preconditioners based on balancing domain decomposition by constraints
methods is introduced in the Portable, Extensible Toolkit for Scientific Computation (PETSc) …
methods is introduced in the Portable, Extensible Toolkit for Scientific Computation (PETSc) …
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 …
BDDC preconditioners for isogeometric analysis
A Balancing Domain Decomposition by Constraints (BDDC) preconditioner for Isogeometric
Analysis of scalar elliptic problems is constructed and analyzed by introducing appropriate …
Analysis of scalar elliptic problems is constructed and analyzed by introducing appropriate …
[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 …
BDDC algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields
A BDDC domain decomposition preconditioner is defined by a coarse component,
expressed in terms of primal constraints, a weighted average across the interface between …
expressed in terms of primal constraints, a weighted average across the interface between …
[HTML][HTML] Isogeometric Tearing and Interconnecting solvers for linear elasticity in multi-patch Isogeometric Analysis with theory for two dimensional domains
J Sogn, S Takacs - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
We consider the linear elasticity equation, discretized with multi-patch Isogeometric
Analysis. A standard discretization error analysis is based on Korn's inequality, which …
Analysis. A standard discretization error analysis is based on Korn's inequality, which …
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 …