Variational Formulation of a Model Free-Boundary Problem

DOI10.2307/2938699zbMath0743.65097OpenAlexW4234972159MaRDI QIDQ3980467

L. Ridgway Scott, Patricia Saavedra

Publication date: 26 June 1992

Full work available at URL: https://doi.org/10.2307/2938699

zbMATH Keywords

convergencefinite element methodvariational formulationerror analysisfree-surface problemfluid-flow phenomena with free surfaces

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Multiphase and multicomponent flows (76T99) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05)

Related Items (11)

Optimal Control of a Free Boundary Problem with Surface Tension Effects: A Priori Error Analysis ⋮ Best approximation property in the $W^1_{\infty }$ norm for finite element methods on graded meshes ⋮ Goal-oriented error estimation and adaptivity for fluid-structure interaction using exact linearized adjoints ⋮ Applications of operator-splitting methods to the direct numerical simulation of particulate and free-surface flows and to the numerical solution of the two-dimensional elliptic Monte-Ampère equation ⋮ Numerical solutions for nonlinear free surface flows by finite element methods ⋮ Maximum-norm stability of the finite element Stokes projection ⋮ Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions ⋮ A Finite Element Model for the Time-Dependent Joule Heating Problem ⋮ Hölder estimates for Green's functions on convex polyhedral domains and their applications to finite element methods ⋮ An iterative domain decomposition method for free boundary problems with nonlinear flux jump constraint ⋮ The $W^1_p$ stability of the Ritz projection on graded meshes

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