Superconvergence effect in finite element methods for two-point boundary value problems

Teresa Regińska

Mathematica Applicanda (1987)

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

Abstract

top
Approximate methods for solving two-point boundary value problems are considered. The aim of the paper is to explain superconvergence effect in the methods using finite element spaces. The existence of a class of the methods with the superconvergence property is demonstrated. Detailed proofs of superconvergence are presented for the case of the Galerkin method (due to Douglas and Dupont results) and for some example of external method.

How to cite

top

Teresa Regińska. "Superconvergence effect in finite element methods for two-point boundary value problems." Mathematica Applicanda 16.30 (1987): null. <http://eudml.org/doc/292746>.

@article{TeresaRegińska1987,
abstract = {Approximate methods for solving two-point boundary value problems are considered. The aim of the paper is to explain superconvergence effect in the methods using finite element spaces. The existence of a class of the methods with the superconvergence property is demonstrated. Detailed proofs of superconvergence are presented for the case of the Galerkin method (due to Douglas and Dupont results) and for some example of external method.},
author = {Teresa Regińska},
journal = {Mathematica Applicanda},
keywords = {Boundary value problems; Finite elements, Rayleigh-Ritz, Galerkin and collocation methods},
language = {eng},
number = {30},
pages = {null},
title = {Superconvergence effect in finite element methods for two-point boundary value problems},
url = {http://eudml.org/doc/292746},
volume = {16},
year = {1987},
}

TY - JOUR
AU - Teresa Regińska
TI - Superconvergence effect in finite element methods for two-point boundary value problems
JO - Mathematica Applicanda
PY - 1987
VL - 16
IS - 30
SP - null
AB - Approximate methods for solving two-point boundary value problems are considered. The aim of the paper is to explain superconvergence effect in the methods using finite element spaces. The existence of a class of the methods with the superconvergence property is demonstrated. Detailed proofs of superconvergence are presented for the case of the Galerkin method (due to Douglas and Dupont results) and for some example of external method.
LA - eng
KW - Boundary value problems; Finite elements, Rayleigh-Ritz, Galerkin and collocation methods
UR - http://eudml.org/doc/292746
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.