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The SteadyState Stokes Equations
2 Existence and uniqueness for the Stokes equations
3 Discretization of the Stokes equations I
16 other sections not shown
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algorithm approximation APX1 assume Banach space barycentric coordinates belongs bounded set Chapter compactness theorem compute Const constant convergence results curl defined denote differentiable dimension Dirichlet problem discrete equal existence and uniqueness external approximation finite differences finite element methods fluid Fourier fractional step function uh Galerkin Galerkin method given grad hence Hilbert space Holder inequality implies integrate L2 ft limit Lipschitz Math Navier-Stokes equations nonlinear norm obtain open bounded set open set Operator ph orthogonal polynomial of degree priori estimates Problem 3.1 proof of Lemma proof of Theorem Proposition prove regularity relation Remark right-hand side satisfies scalar function scalar product Schemes 5.1 Section simplex Sl(h Sobolev Sobolev inequalities solution of Problem space Wh stability step function Stokes equations Stokes problem strongly Subsection subspace Temam Theorem 3.1 triangle vanishes vector functions weak topology weak-star weakly