A second order convergent trial method for a free boundary problem in three dimensions | Zendy

Monica Bugeanu | Zendy; Helmut Harbrecht | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

A second order convergent trial method for a free boundary problem in three dimensions

Author(s) -

Monica Bugeanu,

Helmut Harbrecht

Publication year - 2016

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/352

Subject(s) - free boundary problem , neumann boundary condition , boundary conditions in cfd , boundary (topology) , mixed boundary condition , boundary value problem , mathematics , cauchy boundary condition , parametric statistics , robin boundary condition , mathematical analysis , singular boundary method , boundary conformal field theory , dirichlet boundary condition , bernoulli's principle , boundary element method , physics , thermodynamics , statistics , finite element method

The present article is concerned with the solution of a generalized Bernoulli free boundary problem in three spatial dimensions. We parametrize the free boundary under consideration over the sphere and apply a trial method which updates the free boundary into the normal direction. At the free boundary, we prescribe the Neumann boundary condition and update the free boundary with the help of the remaining Dirichlet boundary condition. An inexact Newton update is employed which leads to a novel second order convergent trial method. Numerical examples show the feasibility of the present approach. In particular, a parametric representation is utilized which imposes no restriction to the free boundary under consideration except for its genus

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research