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A Reduced Local Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity
المؤلف
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-11، 11ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2013-03-31
دولة النشر
مصر
عدد الصفحات
11
التخصصات الرئيسية
الملخص EN
A reduced local discontinuous Galerkin (RLDG) method for nearly incompressible linear elasticity is proposed in this paper, which is locking-free.
RLDG method can be formally regarded as a special case of LDG method with C11=0.
However, RLDG method is actually not covered by LDG method, where C11 must be chosen to be positive to ensure the stability of LDG method.
RLDG method can also be considered as the localization of some symmetric nonconforming mixed finite element method.
The implementation of RLDG method is discussed.
By introducing a lifting operator as LDG method, RLDG method can be rewritten as primal formulation with unknown displacement only.
Next, we obtain that the convergence rates of the approximation to stress tensor in energy norm and displacement in L2-norm are O(hk) and O(hk+1), respectively, which are both uniform with respect to λ.
Moreover, we obtain a H(div)-conforming displacement by projecting the displacement and corresponding numerical trace of RLDG method into the Raviart-Thomas element space.
And then we analyze the error estimates of this postprocessed displacement in H(div)-seminorm and L2-norm, which are also uniform with respect to λ.
Finally, some numerical results are shown to demonstrate the theoretical results.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Huang, Xuehai. 2013. A Reduced Local Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1009801
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Huang, Xuehai. A Reduced Local Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity. Mathematical Problems in Engineering No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-1009801
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Huang, Xuehai. A Reduced Local Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1009801
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1009801
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