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A priori error estimates for mixed finite element θ-schemes for the wave equation
Other Title(s)
تقديراث الخطأ المسبقة لطرق العناصرالمحدودة المختلطة-o لمعادلة الموجة
Author
Source
Sultan Qaboos University Journal for Science
Issue
Vol. 20, Issue 2 (s) (31 Dec. 2015), pp.31-41, 11 p.
Publisher
Sultan Qaboos University College of Science
Publication Date
2015-12-31
Country of Publication
Oman
No. of Pages
11
Main Subjects
Topics
Abstract EN
A family of implicit-in-time mixed finite element schemes is presented for the numerical approximation of the acoustic wave equation.
The mixed space discretization is based on the displacement form of the wave equation and the time-stepping method employs a three-level one-parameter scheme.
A rigorous stability analysis is presented based on energy estimation and sharp stability results are obtained.
A convergence analysis is carried out and optimal a priori L (L2 ) error estimates for both displacement and pressure are derived.
American Psychological Association (APA)
al-Qaraa, Samir. 2015. A priori error estimates for mixed finite element θ-schemes for the wave equation. Sultan Qaboos University Journal for Science،Vol. 20, no. 2 (s), pp.31-41.
https://search.emarefa.net/detail/BIM-650895
Modern Language Association (MLA)
al-Qaraa, Samir. A priori error estimates for mixed finite element θ-schemes for the wave equation. Sultan Qaboos University Journal for Science Vol. 20, no. 2 (Special issue) (Dec. 2015), pp.31-41.
https://search.emarefa.net/detail/BIM-650895
American Medical Association (AMA)
al-Qaraa, Samir. A priori error estimates for mixed finite element θ-schemes for the wave equation. Sultan Qaboos University Journal for Science. 2015. Vol. 20, no. 2 (s), pp.31-41.
https://search.emarefa.net/detail/BIM-650895
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 40-41
Record ID
BIM-650895