Digital Library of Zielona Góra contains 67 009 digital objects
Object
Title: Arbitrary high-order finite element schemes and high-order mass lumping
Współtwórca:
Sokołowski, Jan - ed. ; Sonnendrücker, Eric - ed.
Podtytuł:
Tytuł publikacji grupowej:
Abstract:
Computers are becoming sufficiently powerful to permit to numerically solve problems such as the wave equation with high-order methods. In this article we will consider Lagrange finite elements of order k and show how it is possible to automatically generate the mass and stiffness matrices of any order with the help of symbolic computation software. We compare two high-order time discretizations: an explicit one using a Taylor expansion in time (a Cauchy-Kowalewski procedure) and an implicit Runge-Kutta scheme. ; We also construct in a systematic way a high-order quadrature which is optimal in terms of the number of points, which enables the use of mass lumping, up to P5 elements. We compare computational time and effort for several codes which are of high order in time and space and study their respective properties.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Identyfikator zasobu:
DOI:
Strony:
Źródło:
AMCS, volume 17, number 3 (2007) ; click here to follow the link
Jezyk:
Licencja CC BY 4.0:
Prawa do dysponowania publikacją:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Jednostki organizacyjne > Wydział Informatyki, Elektrotechniki i Automatyki
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Typy utworów > Artykuły
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2007)
Last modified:
Jul 14, 2025
In our library since:
Apr 3, 2024
Number of object content hits:
144
All available object's versions:
https://zbc.uz.zgora.pl/publication/88416
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 1 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 2 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 3 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 4 (2007)
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| Edition name | Date |
|---|---|
| Arbitrary high-order finite element schemes and high-order mass lumping | Jul 14, 2025 |
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