Zielonogórska Biblioteka Cyfrowa udostępnia 65 497 obiektów cyfrowych
Obiekt
Tytuł: Arbitrary high-order finite element schemes and high-order mass lumping
Contributor:
Sokołowski, Jan - ed. ; Sonnendrücker, Eric - ed.
Subtitle:
Group publication title:
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.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 17, number 3 (2007) ; kliknij tutaj, żeby przejść
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2007)
Data ostatniej modyfikacji:
14 lip 2025
Data dodania obiektu:
3 kwi 2024
Liczba wyświetleń treści obiektu:
115
Wszystkie dostępne wersje tego obiektu:
https://www.zbc.uz.zgora.pl/publication/88416
Wyświetl opis w formacie RDF:
Wyświetl opis w formacie OAI-PMH:
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 1 (2007)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 2 (2007)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 3 (2007)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 4 (2007)
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
| Nazwa wydania | Data |
|---|---|
| Arbitrary high-order finite element schemes and high-order mass lumping | 14 lip 2025 |
Obiekty Podobne
Albers, Bettina Savidis, Atavros A. Taşan, Ercan H. Estorff, Otto von Gehlken, Malte Cordón, Oskar - ed. Kazienko, Przemysław - ed.
Sharma, Avadesh Kumar Chauhan, Premanand Singh Sharma, P. Bhadoria, Shailendra Singh Jurczak, Paweł - red.
Czechowski, Leszek Jurczak, Paweł - red.
Strug, Barbara Paszyńska, Anna Paszyński, Maciej Grabska, Ewa Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Szafran, Jacek Juszczyk-Andraszyk, Klaudia Kamiński, Marcin Jurczak, Paweł - red.
Kuczma, Mieczysław Wybranowska, Krystyna Świtka, Romuald - red.
Różyło, Patryk Wysmulski, Paweł Falkowicz, Katarzyna Jurczak, Paweł - red.
Daşdemir, Ahmet Jurczak, Paweł - red.
