
Numerical assessment of twolevel domain decomposition preconditioners for incompressible Stokes and elasticity equations
Solving the linear elasticity and Stokes equations by an optimal domain ...
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New approach for solving stationary nonlinear NavierStokes equations in nonconvex domain
In the paper, an approach for the numerical solution of stationary nonli...
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An optimal complexity spectral method for Navier–Stokes simulations in the ball
We develop a spectral method for solving the incompressible generalized ...
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Nonoverlapping block smoothers for the Stokes equations
Overlapping block smoothers efficiently damp the error contributions fro...
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A fully spacetime leastsquares method for the unsteady NavierStokes system
We introduce and analyze a spacetime leastsquares method associated to...
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A posteriori error estimates for a distributed optimal control problem of the stationary NavierStokes equations
In two and three dimensional Lipschitz, but not necessarily convex, poly...
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Application of adaptive ANOVA and reduced basis methods to the stochastic StokesBrinkman problem
The StokesBrinkman equations model fluid flow in highly heterogeneous p...
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A framework for approximation of the Stokes equations in an axisymmetric domain
We develop a framework for solving the stationary, incompressible Stokes equations in an axisymmetric domain. By means of Fourier expansion with respect to the angular variable, the threedimensional Stokes problem is reduced to an equivalent, countable family of decoupled twodimensional problems. By using decomposition of threedimensional Sobolev norms we derive natural variational spaces for the twodimensional problems, and show that the variational formulations are wellposed. We analyze the error due to Fourier truncation and conclude that, for data that are sufficiently regular, it suffices to solve a small number of twodimensional problems.
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