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

• Autorzy: Tomasz Roliński
• Języki publikacji: EN

Abstrakty

EN

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.

PL

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Słowa kluczowe

EN

Boundary element methods; Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods

• Wydawca: Polish Mathematical Society
• Czasopismo: Mathematica Applicanda
• Rocznik: 1993
• Tom: 22
• Numer: 36

Daty

wydano

1993

online

2016-10-28

Twórcy

autor

Tomasz Roliński

Identyfikatory

DOI

10.14708/ma.v22i36.1814