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

Tomasz Roliński. "A method for solving the Neumann problem for the Poisson equation on the exterior of a poligon." Mathematica Applicanda 22.36 (1993): null. <http://eudml.org/doc/292775>.

@article{TomaszRoliński1993,
abstract = {This paper is concerned with a numerical method for solving the problem Δu=f in Ωc (=intR2), (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.},
author = {Tomasz Roliński},
journal = {Mathematica Applicanda},
keywords = {Boundary element methods; Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods},
language = {eng},
number = {36},
pages = {null},
title = {A method for solving the Neumann problem for the Poisson equation on the exterior of a poligon},
url = {http://eudml.org/doc/292775},
volume = {22},
year = {1993},
}

TY - JOUR
AU - Tomasz Roliński
TI - A method for solving the Neumann problem for the Poisson equation on the exterior of a poligon
JO - Mathematica Applicanda
PY - 1993
VL - 22
IS - 36
SP - null
AB - This paper is concerned with a numerical method for solving the problem Δu=f in Ωc (=intR2), (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.
LA - eng
KW - Boundary element methods; Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
UR - http://eudml.org/doc/292775
ER -