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) …
[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 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 …
On the parallel solution of hydro-mechanical problems with fracture networks and contact conditions
The paper presents a numerical method for simulating flow and mechanics in fractured rock.
The governing equations that couple the effects in the rock mass and in the fractures are …
The governing equations that couple the effects in the rock mass and in the fractures are …
On the robustness and prospects of adaptive BDDC methods for finite element discretizations of elliptic PDEs with high-contrast coefficients
Balancing Domain Decomposition by Constraints (BDDC) methods have proven to be
powerful preconditioners for large and sparse linear systems arising from the finite element …
powerful preconditioners for large and sparse linear systems arising from the finite element …
Extended finite element method in mixed-hybrid model of singular groundwater flow
J Březina, P Exner - Mathematics and Computers in Simulation, 2021 - Elsevier
A model of groundwater flow in porous media influenced by wells (boreholes, channels) is
considered. The model is motivated by the reduced dimension approach which suits …
considered. The model is motivated by the reduced dimension approach which suits …
BDDC for MHFEM discretization of unsteady two-phase flow in porous media
J Solovský, R Fučík, J Šístek - Computer Physics Communications, 2022 - Elsevier
This work deals with the application of the Balancing Domain Decomposition by Constrains
(BDDC) method to unsteady two-phase flow problems in porous media. We briefly describe …
(BDDC) method to unsteady two-phase flow problems in porous media. We briefly describe …
A posteriori algebraic error estimates and nonoverlapping domain decomposition in mixed formulations: energy coarse grid balancing, local mass conservation on …
We consider iterative algebraic solvers for the saddle-point mixed finite element
discretizations of the model Darcy flow problem. We propose a posteriori error estimators of …
discretizations of the model Darcy flow problem. We propose a posteriori error estimators of …
Generation of Transport Paths in Fractured Porous Media
J Říha, J Královcová - Acta Polytechnica, 2017 - ojs.cvut.cz
In this article, a method for generation of transport paths in combined equivalent porous
media/discrete fracture network computational meshes is proposed as an alternative to a …
media/discrete fracture network computational meshes is proposed as an alternative to a …
On adaptive BDDC for the flow in heterogeneous porous media
B Sousedík - Applications of Mathematics, 2019 - Springer
We study a method based on Balancing Domain Decomposition by Constraints (BDDC) for
numerical solution of a single-phase flow in heterogeneous porous media. The method …
numerical solution of a single-phase flow in heterogeneous porous media. The method …