Solving exterior Neumann boundary value problems for Beltrami fields through the Beltrami system
نویسندگان
چکیده
منابع مشابه
Computing Beltrami Fields
Abstract. For solving the non-linear equations governing force-free fields, an iterative methodology based on the splitting of the problem is described. On the basis of this splitting, three families of subproblems have to be solved numerically. The first problem consists to find a potential field. A mixed hybrid method is used to solve it. The second problem, which is a curl-div system, is sol...
متن کاملTight Beltrami fields with symmetry.
Tight Beltrami fields with symmetry. Abstract Given a Seifered fibred 3-manifold M equipped with an S 1-invariant contact form α, we provide a bound on the volume Vol(M) and the curvature, in a suitable adapted Riemannian metric to α, which implies universal tightness of the contact structure ξ = ker α.
متن کاملSolving Boundary Value Problems With Neumann Conditions Using Direct Method
In this paper, the direct method is utilized for solving second order two-point boundary value problem of Neumann type. The method will obtain the solution of the second order boundary value problem directly without reducing it to to first order equations. The method will be implemented using variable step size via shooting technique adapted with the Newton method. Numerical results are given t...
متن کاملSPLINE COLLOCATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS
The spline collocation method is used to approximate solutions of boundary value problems. The convergence analysis is given and the method is shown to have second-order convergence. A numerical illustration is given to show the pertinent features of the technique.
متن کاملSolving Beltrami Equations by Circle Packing
We use Andreev-Thurston's theorem on the existence of circle packings to construct approximating solutions to the Beltrami equations on Riemann surfaces. The convergence of the approximating solutions on compact subsets will be shown. This gives a constructive proof of the existence theorem for Beltrami equations.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Integral Equations and Applications
سال: 2010
ISSN: 0897-3962
DOI: 10.1216/jie-2010-22-4-591