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

• Autorzy: Roliński Tomasz

Identyfikatory

DOI

10.14708/ma.v22i36.1814

• 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.

Słowa kluczowe

EN

boundary element methods; finite elements; Rayleigh-Ritz method; Galerkin methods; finite methods

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Matematyka Stosowana : matematyka dla społeczeństwa
• Rocznik: 1993
• Tom: Nr 36
• Strony: 19--40
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Roliński Tomasz

• Institute of Mathematics Polsh Academy of Sciences, ul. Śniadeckich 8, 00-950 Warszawa, Poland

Bibliografia

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