The Hp-Adaptive Finite Element Method For Three Dimensional Multiphysics
Although the hp-adaptive strategy is well implemented in two dimensional problems, its convergence performance in three-dimensional multiphysics problems particularly with tetrahedral mesh is still yet to be fully matured. This thesis presents a code development of a fully automatic hp-adaptive f...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | أطروحة |
| اللغة: | English |
| منشور في: |
2014
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | http://eprints.usm.my/60820/1/24%20Pages%20from%2000001780499.pdf |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| الملخص: | Although the hp-adaptive strategy is well implemented in two dimensional problems, its
convergence performance in three-dimensional multiphysics problems particularly with
tetrahedral mesh is still yet to be fully matured. This thesis presents a code development of a
fully automatic hp-adaptive finite element method for steady-state multi physics problems in
three dimensions. The adaptivity is achieved by a systematic combination of mesh
refinements using bisecting approach(/Z) and polynomial order(p) extensions of the
approximation functions. Mesh adaptation process is implemented such that conformity
among the elements is preserved. The adaptive strategy is driven by a residual-based a
posteriori error estimator computed element-wise, where a scheme has been developed to
identify elements that need to undergo refinement processes. |
|---|