Domain Decomposition Schemes and Coupling Conditions for Kinetic and Hydrodynamic Equations

1995 ◽  
pp. 128-138
Author(s):  
Axel Klar
Keyword(s):  
Domain Decomposition ◽  
Hydrodynamic Equations ◽  
Coupling Conditions ◽  
Decomposition Schemes

scholarly journals Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models

2021 ◽  
Vol 59 (1) ◽  
pp. 583-612
Author(s):  
Elyes Ahmed ◽  
Alessio Fumagalli ◽  
Ana Budiša ◽  
Eirik Keilegavlen ◽  
Jan M. Nordbotten ◽  
...  
Keyword(s):  
Domain Decomposition ◽  
Fracture Flow ◽  
Flow Models ◽  
Nonlinear Fracture ◽  
Decomposition Schemes

scholarly journals Domain decomposition schemes for the stokes equation

2012 ◽  
Vol 91 (105) ◽  
pp. 155-162 ◽  
Author(s):  
Petr Vabishchevich
Keyword(s):  
Domain Decomposition ◽  
Hilbert Spaces ◽  
Stokes System ◽  
Numerical Algorithms ◽  
Initial Boundary ◽  
Computational Domain ◽  
Initial Boundary Value Problems ◽  
Initial Boundary Value ◽  
Decomposition Schemes ◽  
The Stokes Equation

Numerical algorithms for solving problems of mathematical physics on modern parallel computers employ various domain decomposition techniques. Domain decomposition schemes are developed here to solve numerically initial/boundary value problems for the Stokes system of equations in the primitive variables pressure-velocity. Unconditionally stable schemes of domain decomposition are based on the partition of unit for a computational domain and the corresponding Hilbert spaces of grid functions.

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