Results 91 to 100 of about 132 (125)
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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 G 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 G Heywood
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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 G 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 G 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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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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Acta Mathematica Scientia, 1993
Abstract This paper deals with maximum norm error estimates of conforming finite element approximate solutions for the stationary and nonstationary Navier-Stokes problems in a plane bounded domain, using the so-called velocity-pressure mixed variational formulation. Quasi-optimal maximum norm error estimates of the velocity and its first derivatives,
Shen, Shumin, Deng, Qingping
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Abstract This paper deals with maximum norm error estimates of conforming finite element approximate solutions for the stationary and nonstationary Navier-Stokes problems in a plane bounded domain, using the so-called velocity-pressure mixed variational formulation. Quasi-optimal maximum norm error estimates of the velocity and its first derivatives,
Shen, Shumin, Deng, Qingping
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Subdifferential boundary value problems for the nonstationary navier-stokes equations
Differential Equations, 2000Let \(V\) and \(H\) be separable Hilbert spaces with dual spaces \(V'\) and \(H'\) such that \(V\) is densely and compactly embedded in \(H\) and \(H'\) is identified with \(H\). The norms of \(V,V'\) and \(H\) are denoted by \(\|\cdot \|, \|\cdot \|_*\) and \(|\cdot|\) respectively, and \((\cdot, \cdot)\) stands for the inner product of \(H\) as well ...
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Mathematische Annalen, 2005
The author examines the nonstationary linearized Navier-Stokes system in a domain with cylindrical outlets to infinity in weighted function spaces with exponential weight functions. It is proved that under natural compatibility conditions on the external force there exists a unique solution with prescribed non-zero fluxes over the sections of outlets ...
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The author examines the nonstationary linearized Navier-Stokes system in a domain with cylindrical outlets to infinity in weighted function spaces with exponential weight functions. It is proved that under natural compatibility conditions on the external force there exists a unique solution with prescribed non-zero fluxes over the sections of outlets ...
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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.
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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.
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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.
Heywood, John G., Rannacher, Rolf
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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.
Heywood, John G., Rannacher, Rolf
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Doklady Mathematics, 2013
It is established below that the existence of a strong solution to the nonlinear Navier–Stokes problem with any initial approximation from the class of strong solu tions is equivalent to the global convergence of the modified iteration sequence to the sought solution in the norm of the class of strong solutions at a conver gence rate higher than a ...
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It is established below that the existence of a strong solution to the nonlinear Navier–Stokes problem with any initial approximation from the class of strong solu tions is equivalent to the global convergence of the modified iteration sequence to the sought solution in the norm of the class of strong solutions at a conver gence rate higher than a ...
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