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

Tomasz Roliński

Mathematica Applicanda (1993)

  • Volume: 22, Issue: 36
  • ISSN: 1730-2668

Abstract

top
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), 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.

How to cite

top

Tomasz Roliński. "An analysis of the exterior Neumann problem for the Poisson equation in connection with a numerical procedure." Mathematica Applicanda 22.36 (1993): null. <http://eudml.org/doc/293331>.

@article{TomaszRoliński1993,
abstract = {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), 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.},
author = {Tomasz Roliński},
journal = {Mathematica Applicanda},
keywords = {Boundary element methods; Boundary value problems for second-order elliptic equations; Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods},
language = {eng},
number = {36},
pages = {null},
title = {An analysis of the exterior Neumann problem for the Poisson equation in connection with a numerical procedure},
url = {http://eudml.org/doc/293331},
volume = {22},
year = {1993},
}

TY - JOUR
AU - Tomasz Roliński
TI - An analysis of the exterior Neumann problem for the Poisson equation in connection with a numerical procedure
JO - Mathematica Applicanda
PY - 1993
VL - 22
IS - 36
SP - null
AB - 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), 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.
LA - eng
KW - Boundary element methods; Boundary value problems for second-order elliptic equations; Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
UR - http://eudml.org/doc/293331
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.