Fixed mesh finite element approximations to a free boundary problem for an elliptic equation with an oblique derivative boundary condition

DOI10.1016/0898-1221(85)90058-6zbMath0591.65072OpenAlexW2089600426MaRDI QIDQ1075028

John W. Barrett, Charles M. Elliott

Publication date: 1985

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(85)90058-6

zbMATH Keywords

Poisson equationsfitted mesh finite element method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Finite element methods for second order linear hyperbolic interface problems, A \(C^0\) finite element approximation of planar oblique derivative problems in non-divergence form, Steady-state inhomogeneous diffusion with generalized oblique boundary conditions, Numerical approximation of planar oblique derivative problems in nondivergence form, Total flux estimates for a finite element approximation of the Dirichlet problem using the boundary penalty method, Design and analysis of finite volume methods for elliptic equations with oblique derivatives; application to Earth gravity field modelling, A Discontinuous Galerkin Finite Element Method fOR Uniformly Elliptic Two Dimensional Oblique Boundary-Value Problems, On the convergence and convergence order of finite volume gradient schemes for oblique derivative boundary value problems, and Norms Error Estimates in Finite Element Method for Linear Parabolic Interface Problems, An iterative domain decomposition method for free boundary problems with nonlinear flux jump constraint, Finite element approximation of the Dirichlet problem using the boundary penalty method, Finite element methods for semilinear elliptic and parabolic interface problems

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