The finite difference approximation for the Dirichlet problem with a non-uniform mesh on a boundary

Grażyna Morawiec

Mathematica Applicanda (1987)

  • Volume: 16, Issue: 30
  • ISSN: 1730-2668

Abstract

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The author describes a construction of the positive difference scheme, which is the approximation of the Dirichlet problem for an elliptic second order equation with mixed derivatives in an arbitrary region in R2. The a priori estimation for the approximate solution is proved and the estimation of the rate of convergence in maximum norm is established.

How to cite

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Grażyna Morawiec. "The finite difference approximation for the Dirichlet problem with a non-uniform mesh on a boundary." Mathematica Applicanda 16.30 (1987): null. <http://eudml.org/doc/293160>.

@article{GrażynaMorawiec1987,
abstract = {The author describes a construction of the positive difference scheme, which is the approximation of the Dirichlet problem for an elliptic second order equation with mixed derivatives in an arbitrary region in R2. The a priori estimation for the approximate solution is proved and the estimation of the rate of convergence in maximum norm is established.},
author = {Grażyna Morawiec},
journal = {Mathematica Applicanda},
keywords = {Derivation of finite difference approximations; Error bounds},
language = {eng},
number = {30},
pages = {null},
title = {The finite difference approximation for the Dirichlet problem with a non-uniform mesh on a boundary},
url = {http://eudml.org/doc/293160},
volume = {16},
year = {1987},
}

TY - JOUR
AU - Grażyna Morawiec
TI - The finite difference approximation for the Dirichlet problem with a non-uniform mesh on a boundary
JO - Mathematica Applicanda
PY - 1987
VL - 16
IS - 30
SP - null
AB - The author describes a construction of the positive difference scheme, which is the approximation of the Dirichlet problem for an elliptic second order equation with mixed derivatives in an arbitrary region in R2. The a priori estimation for the approximate solution is proved and the estimation of the rate of convergence in maximum norm is established.
LA - eng
KW - Derivation of finite difference approximations; Error bounds
UR - http://eudml.org/doc/293160
ER -

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