A Unified Analysis of Balancing Domain Decomposition by Constraints for Discontinuous Galerkin Discretizations by Diosady, Laslo Tibor, Darmofal, David L.

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A Unified Analysis of Balancing Domain Decomposition by Constraints for Discontinuous Galerkin Discretizations by Diosady, Laslo Tibor, Darmofal, David L.

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Balancing domain decomposition method whose coarse grid is defined using local coordinate systems by Tomoshi MIYAMURA

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Finite element analysis of multi-material models using a balancing domain decomposition method combined with the diagonal scaling preconditioner by Masao OGINO

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Study of Indoor Ventilation Based on Large-Scale DNS by a Domain Decomposition Method by Junyang Jiang, Zichao Jiang, Trevor Hocksun Kwan, Chun-Ho Liu, Qinghe Yao

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Massively Parallel Solver for the High-Order Galerkin Least-Squares Method by Yano, Masayuki

“…The stabilization parameter of the GLS discretization is modified to improve the resolution characteristics and the condition number for the high-order interpolation. The Balancing Domain Decomposition by Constraints (BDDC) algorithm is applied to the linear systems arising from the two-dimensional, high-order discretization of the Poisson equation, the advectiondiffusion equation, and the Euler equation. …”
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Learning Adaptive Coarse Spaces of BDDC Algorithms for Stochastic Elliptic Problems with Oscillatory and High Contrast Coefficients by Eric Chung, Hyea-Hyun Kim, Ming-Fai Lam, Lina Zhao

“…In this paper, we consider the balancing domain decomposition by constraints (BDDC) algorithm with adaptive coarse spaces for a class of stochastic elliptic problems. …”
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BDDC preconditioning for high-order Galerkin Least-Squares methods using inexact solvers by Yano, Masayuki, Darmofal, David L., Darmofal, David L

“…A high-order Galerkin Least-Squares (GLS) finite element discretization is combined with a Balancing Domain Decomposition by Constraints (BDDC) preconditioner and inexact local solvers to provide an efficient solution technique for large-scale, convection-dominated problems. …”
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Massively parallel solver for the high-order Galerkin Least-Squares method by Yano, Masayuki, Ph. D. Massachusetts Institute of Technology

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Domain decomposition preconditioners for higher-order discontinuous Galerkin discretizations by Diosady, Laslo Tibor

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A balanced watershed decomposition method for rain-on-grid simulations in HEC-RAS by Sleimane Hariri, Sylvain Weill, Jens Gustedt, Isabelle Charpentier

“…HIGHLIGHTS Area-balanced partition method based on the flow accumulation information.; Load-balanced domain decomposition method using HEC-RAS for the sub-domains.; Automation based on 2D–1D models and HEC-RAS Controller.; Validation on 2D unsteady rain-on-grid simulations…”
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