Isogeometric residual minimization (iGRM) for non-stationary Stokes and Navier–Stokes problems

The Conjugate Residual Method for Constrained Minimization Problems

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Expected Residual Minimization Method for Stochastic Linear Complementarity Problems

This paper presents a new formulation for the stochastic linear complementarity problem (SLCP), which aims at minimizing an expected residual defined by an NCP function. We generate observations by the quasi-Monte Carlo methods and prove that every accumulation point of minimizers of discrete approximation problems is a minimum expected residual solution of the SLCP. We show that a sufficient c...

Decoupled schemes for a non-stationary mixed Stokes-Darcy model

We study numerical methods for solving a non-stationary mixed Stokes-Darcy problem that models coupled fluid flow and porous media flow. A decoupling approach based on interface approximation via temporal extrapolation is proposed for devising decoupled marching algorithms for the mixed model. Error estimates are derived and numerical experiments are conducted to demonstrate the computational e...

On a number of algorithms for solving non-stationary Stokes and Navier-Stokes equations

On a number of algorithms for solving non-stationary Stokes and Navier-Stokes equations