Finite element methods for Navier-Stokes equations: theory and algorithms |
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Contents
Mathematical Foundation of the Stokes Problem | 1 |
2 Function Spaces for the Stokes Problem | 18 |
A Decomposition of Vector Fields | 36 |
Copyright | |
19 other sections not shown
Other editions - View all
Finite Element Methods for Navier-Stokes Equations Vivette Girault,Pierre-Arnaud Raviart No preview available - 1986 |
Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms Vivette Girault,Pierre-Arnaud Raviart No preview available - 2011 |
Common terms and phrases
&~h is regular addition affine transformations approximation properties Banach space belongs bilinear form boundary branch of nonsingular component continuous convergence convex polygon Corollary curl defined degrees of freedom denote derive Dirichlet problem divergence-free divv DuF(X equivalent error estimate exists a constant exists a unique Find a pair finite element finite element methods grad q Green's formula Hence Hl(Q hypotheses of Theorem Hypothesis imbedding implies independent of h inequality integer introduce isomorphism Lemma Let Q linear Lipschitz-continuous Ll(Q mapping Moreover Navier-Stokes equations nonsingular solutions norm notations operator nh polynomial pressure Problem 2.1 Problem Q Proof prove Q is convex quadrilateral regular triangulation Remark resp result scheme Section seminorm simply-connected Sobolev spaces solution of Problem spaces Xh Stokes problem stream function subspace Theorem Theorem 1.2 triangulation &~h triangulation of Q uh(X uniformly regular unique solution vanishes vector potential velocity yields
Bibliographic information
| Title | Finite element methods for Navier-Stokes equations: theory and algorithms Volume 5 of Springer series in computational mathematics Volume 5 of Computational Mathematics Series |
| Authors | Vivette Girault, Pierre-Arnaud Raviart |
| Edition | illustrated |
| Publisher | Springer-Verlag, 1986 |
| Original from | the University of Michigan |
| Digitized | Feb 6, 2010 |
| ISBN | 0387157964, 9780387157962 |
| Length | 374 pages |
| Subjects | › › › Finite element method Mathematics / Mathematical Analysis Mathematics / Number Systems Navier-Stokes equations Navier-Stokes equations - Numerical solutions Science / Mechanics / Dynamics / Fluid Dynamics Science / Mechanics / General Science / Physics Viscous flow |
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