Results 131 to 140 of about 5,941,578 (168)
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Journal of Mathematical Sciences, 2003
The author proves the solvability of the Stokes problem and the local (in time) solvability of the Navier-Stokes problem in the half-space under the condition that the initial velocity is bounded and continuous. The proof is based on estimates for the entries of the Green matrix for the Stokes problem.
V A Solonnikov
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The author proves the solvability of the Stokes problem and the local (in time) solvability of the Navier-Stokes problem in the half-space under the condition that the initial velocity is bounded and continuous. The proof is based on estimates for the entries of the Green matrix for the Stokes problem.
V A Solonnikov
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Finite volume method based on stabilized finite elements for the nonstationary Navier–Stokes problem
Numerical Methods for Partial Differential Equations, 2007AbstractA finite volume method based on stabilized finite element for the two‐dimensional nonstationary Navier–Stokes equations is investigated in this work. As in stabilized finite element method, macroelement condition is introduced for constructing the local stabilized formulation of the nonstationary Navier–Stokes equations.
Xinlong Feng, Yinnian He, Guoliang He
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SIAM Journal on Numerical Analysis, 1986
[For part I see the authors, ibid. 19, 275-311 (1982; Zbl 0487.76035).] Assumptions about the stability of a solution are introduced in the numerical analysis of the nonstationary Navier-Stokes problem, for the purpose of extending local a priori error estimates, and local a posteriori error estimates, globally in time.
Rolf Rannacher, John Groves Heywood
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[For part I see the authors, ibid. 19, 275-311 (1982; Zbl 0487.76035).] Assumptions about the stability of a solution are introduced in the numerical analysis of the nonstationary Navier-Stokes problem, for the purpose of extending local a priori error estimates, and local a posteriori error estimates, globally in time.
Rolf Rannacher, John Groves Heywood
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SIAM Journal on Numerical Analysis, 1988
Summary: [For part II see the authors, ibid. 23, 750-777 (1986; Zbl 0611.76036).] This paper continues our error analysis of finite element Galerkin approximation of the nonstationary Navier-Stokes equations. Optimal order error estimates, both local and global, are derived for higher order finite elements under appropriate assumptions about the ...
Rolf Rannacher, John Groves Heywood
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Summary: [For part II see the authors, ibid. 23, 750-777 (1986; Zbl 0611.76036).] This paper continues our error analysis of finite element Galerkin approximation of the nonstationary Navier-Stokes equations. Optimal order error estimates, both local and global, are derived for higher order finite elements under appropriate assumptions about the ...
Rolf Rannacher, John Groves Heywood
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SIAM Journal on Control and Optimization, 2007
The aim of this article is to present a convergence theory of the SQP-method applied to optimal control problems for the instationary Navier-Stokes equations. We will employ a second-order sufficient optimality condition, which requires that the second derivative of the Lagrangian is positive definit on a subspace of inactive constraints. Therefore, we
Daniel Wachsmuth
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The aim of this article is to present a convergence theory of the SQP-method applied to optimal control problems for the instationary Navier-Stokes equations. We will employ a second-order sufficient optimality condition, which requires that the second derivative of the Lagrangian is positive definit on a subspace of inactive constraints. Therefore, we
Daniel Wachsmuth
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SIAM Journal on Numerical Analysis, 1990
This paper provides an error analysis for the Crank–Nicolson method of time discretization applied to spatially discrete Galerkin approximations of the nonstationary Navier–Stokes equations. Second-order error estimates are proven locally in time under realistic assumptions about the regularity of the solution.
Rolf Rannacher, John Groves Heywood
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This paper provides an error analysis for the Crank–Nicolson method of time discretization applied to spatially discrete Galerkin approximations of the nonstationary Navier–Stokes equations. Second-order error estimates are proven locally in time under realistic assumptions about the regularity of the solution.
Rolf Rannacher, John Groves Heywood
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SIAM Journal on Numerical Analysis, 1982
This is the first part of a work dealing with the rigorous error analysis of finite element solutions of the nonstationary Navier–Stokes equations. Second-order error estimates are proven for spatial discretization, using conforming or nonconforming elements.
Rolf Rannacher, John Groves Heywood
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This is the first part of a work dealing with the rigorous error analysis of finite element solutions of the nonstationary Navier–Stokes equations. Second-order error estimates are proven for spatial discretization, using conforming or nonconforming elements.
Rolf Rannacher, John Groves Heywood
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A parallel partition of unity method for the nonstationary Navier-Stokes equations
International Journal of Numerical Methods for Heat and Fluid Flow, 2017 Purpose The purpose of this paper is to propose a parallel partition of unity method (PPUM) to solve the nonstationary Navier-Stokes equations. Design/methodology/approach This paper opted for the nonstationary Navier-Stokes equations by using the ...
Guangzhi Du
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Inhomogeneous boundary value problem for nonstationary compressible Navier–Stokes equations
Journal of Mathematical Sciences, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Plotnikov, P. I., Sokolowski, J.
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