Discontinuous Galerkin methods for ordinary differential equations-Reference-Cited by-同舟云学术

Discontinuous Galerkin methods for ordinary differential equations

Published:1981 Issue:154 Volume:36 Page:455-473
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Delfour M.,Hager W.,Trochu F.

Abstract

A class of Galerkin methods derived from discontinuous piecewise polynomial spaces is analyzed. For polynomials of degree k, these methods lead to a family of one-step schemes generating approximations up to order 2 k + 2 2k + 2 for the solution of an ordinary differential equation.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1981-36-154/S0025-5718-1981-0606506-0/S0025-5718-1981-0606506-0.pdf

Reference24 articles.

1. Error-bounds for finite element method;Babuška, Ivo;Numer. Math.,1970

2. I. Babuška & A. K. Aziz, "Survey lectures on the mathematical foundations of the finite element method," The Mathematical Foundation of the Finite Element Method with Application to Partial Differential Equations (A. K. Aziz, Ed.), Academic Press, New York, 1973.

3. Analysis of finite element methods for second order boundary value problems using mesh dependent norms;Babuška, I.;Numer. Math.,1980

4. Analysis of mixed methods using mesh dependent norms;Babuška, I.;Math. Comp.,1980

5. On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers;Brezzi, F.;Rev. Fran\c{c}aise Automat. Informat. Recherche Op\'{e}rationnelle S\'{e}r. Rouge,1974

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