On Schwarz Methods for Nonlinear Elliptic Partial Differential Equations
| المؤلف الرئيسي: | Al Ojaili, Tafool Abdullah Omar (Author) |
|---|---|
| مؤلفين آخرين: | Boulbrachene, Messaoud (Advisor) |
| التاريخ الميلادي: |
2016
|
| موقع: | مسقط |
| الصفحات: | 1 - 85 |
| رقم MD: | 946873 |
| نوع المحتوى: | رسائل جامعية |
| اللغة: | الإنجليزية |
| الدرجة العلمية: | رسالة ماجستير |
| الجامعة: | جامعة السلطان قابوس |
| الكلية: | كلية العلوم |
| الدولة: | عمان |
| قواعد المعلومات: | Dissertations |
| مواضيع: | |
| رابط المحتوى: |
عدد مرات التحميل
19
| المستخلص: |
Schwarz methods are very effective numerical methods when dealing with large scale problems. In this project, we apply the multiplicative and additive Schwarz methods to a class of nonlinear elliptic partial differential equation. More pre- cisely, we give a thorough analysis of their respective convergence, using monotony methods based on the concepts of supersolution and subsolution and the maxi- mum principle. Moreover, we adapt this monotony approach to analyze for the first time the convergence of the 5- point finite difference scheme applied to the multiplicative Schwarz method, using the concepts of discrete subsolution and supersolution and the discrete maximum principle. |
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