Convergence and Nonlinear Stability of the Lagrange-Galerkin Method for the Navier-Stokes Equations.

Endre Süli

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Displaying similar documents to “Convergence and Nonlinear Stability of the Lagrange-Galerkin Method for the Navier-Stokes Equations.”

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In this work we introduce a new class of lowest order methods for diffusive problems on general meshes with only one unknown per element. The underlying idea is to construct an incomplete piecewise affine polynomial space with optimal approximation properties starting from values at cell centers. To do so we borrow ideas from multi-point finite volume methods, although we use them in a rather different context. The incomplete polynomial space replaces classical complete polynomial...