A new look at finite elements in time: A variational interpretation of Runge-Kutta methods

Carlo L. Bottasso

doi:10.1016/S0168-9274(97)00072-X

A new look at finite elements in time: A variational interpretation of Runge-Kutta methods

Carlo L. Bottasso

Politecnico di Milano

Research output: Contribution to journal › Article › peer-review

60 Scopus citations

Abstract

We show that integration schemes derived from some well known finite elements in time formulations are Runge-Kutta methods, and we discuss the implications of this finding.

Original language	English
Pages (from-to)	355-368
Number of pages	14
Journal	Applied Numerical Mathematics
Volume	25
Issue number	4
DOIs	https://doi.org/10.1016/S0168-9274(97)00072-X
State	Published - Dec 1997
Externally published	Yes

Keywords

Finite elements in time
Runge-kutta methods

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10.1016/S0168-9274(97)00072-X

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title = "A new look at finite elements in time: A variational interpretation of Runge-Kutta methods",

abstract = "We show that integration schemes derived from some well known finite elements in time formulations are Runge-Kutta methods, and we discuss the implications of this finding.",

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year = "1997",

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AB - We show that integration schemes derived from some well known finite elements in time formulations are Runge-Kutta methods, and we discuss the implications of this finding.

KW - Finite elements in time

KW - Runge-kutta methods

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DO - 10.1016/S0168-9274(97)00072-X

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VL - 25

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JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

IS - 4

ER -

A new look at finite elements in time: A variational interpretation of Runge-Kutta methods

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Keywords

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