Obiekt
Tytuł: 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) ; kliknij tutaj, żeby przejść
Jezyk:
Licencja CC BY 4.0:
Prawa do dysponowania publikacją:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- 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)
Data ostatniej modyfikacji:
2025-07-14
Data dodania obiektu:
2024-04-03
Liczba wyświetleń treści obiektu:
83
Wszystkie dostępne wersje tego obiektu:
https://zbc.uz.zgora.pl/publication/88416
Wyświetl opis w formacie RDF:
Wyświetl opis w formacie OAI-PMH:
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International Journal of Applied Mathematics and Computer Science (AMCS)
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| Nazwa wydania | Data |
|---|---|
| Arbitrary high-order finite element schemes and high-order mass lumping | 2025-07-14 |
