An improved penalty method for power-law Stokes problems
نویسندگان
چکیده
منابع مشابه
A Penalty Method for Approximations of the Stationary Power-Law Stokes Problem
We study approximations of the steady state Stokes problem governed by the power-law model for viscous incompressible non-Newtonian flow using the penalty formulation. We establish convergence and find error estimates.
متن کاملA power penalty method for linear complementarity problems
In this paper we propose a power penalty approach to linear complementarity problems (LCP) in a finite dimensional space. This approach is based on approximating the LCP by a nonlinear equation with a power penalty term. We prove that the solution to this equation converges to that of the LCP at a rate equivalent to the reciprocal of the power used in the penalty term when the penalty parameter...
متن کاملAn Active Penalty Method for the Incompressible Navier-Stokes Equations
The volume penalty method provides a simple, efficient approach for solving the incompressible Navier-Stokes equations in domains with boundaries or in the presence of moving objects. Despite the simplicity, the method suffers from poor convergence in the penalty parameter, thereby restricting accuracy of any numerical method. We demonstrate that one may achieve high order accuracy by introduci...
متن کاملA fast vector penalty-projection method for incompressible non-homogeneous or multiphase Navier-Stokes problems
We present a new fast vector penalty-projection method (VPPε) to efficiently compute the solution of unsteady NavierStokes problems governing incompressible multiphase viscous flows with variable density and/or viscosity. The key idea of the method is to compute at each time step an accurate and curl-free approximation of the pressure gradient increment in time. This method performs a two-step ...
متن کاملAn L1 Penalty Method for General Obstacle Problems
We construct an efficient numerical scheme for solving obstacle problems in divergence form. The numerical method is based on a reformulation of the obstacle in terms of an L1-like penalty on the variational problem. The reformulation is an exact regularizer in the sense that for a large (but finite) penalty parameter, we recover the exact solution. Our formulation is applied to classical ellip...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2009
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.02.002