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A method for solving the Neumann problem for the Poisson equation on the exterior of a poligon

100%

Roliński T.

Mathematica Applicanda

1993

tom 22

nr 36

This paper is concerned with a numerical method for solving the problem Δu=f in Ωc (=intR2\Ω), (du/dn)|Γ=g, where ΩR2 is a polygon and Γ is the boundary of Ω. The method is based on coupling finite and boundary element techniques. To compensate for the loss of smoothness of the solution u near the corners of the polygon Ω we refine the triangulation without changing the number of triangles. We apply the affine triangular Lagrangean element of degree kN and the Lagrangean boundary element of degree k−1 to obtain the optimal order of convergence via the Galerkin projection.

An analysis of the exterior Neumann problem for the Poisson equation in connection with a numerical procedure

80%

Roliński T.

Mathematica Applicanda

1993

tom 22

nr 36

This paper is concerned with transforming the exterior problem Δu=f on Ωc, (∂u/∂n)|Γ=g, where ΩR2 is a bounded region and Ω^(c)=int(R2\Ω), into a problem represented by two equations. The first one is posed on a bounded domain and the second one is posed on the outer part of the boundary of the domain. This new problem is suitable for a numerical method based on coupling the finite and boundary element methods.

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2 Mathematica Applicanda

2 Roliński T.

2 1993

Wyniki wyszukiwania

A method for solving the Neumann problem for the Poisson equation on the exterior of a poligon

An analysis of the exterior Neumann problem for the Poisson equation in connection with a numerical procedure