EQ(1)(rot) nonconforming finite element method for nonlinear dual phase lagging heat conduction equations

作者：Zhao Yan min^*; Wang Fen ling; Shi Dong yang

来源：Acta Mathematicae Applicatae Sinica-English Series, 2013, 29(1): 201-214.

DOI：10.1007/s10255-013-0205-7

• nonlinear dual phase lagging heat conduction equations
• EQ(1)(rot) nonconforming finite element
• superclose and superconvergence
• extrapolation
• semi-discrete and fully-discrete schemes

EQ (1) (rot) nonconforming finite element approximation to a class of nonlinear dual phase lagging heat conduction equations is discussed for semi-discrete and fully-discrete schemes. By use of a special property, that is, the consistency error of this element is of order O(h (2)) one order higher than its interpolation error O(h), the superclose results of order O(h (2)) in broken H (1)-norm are obtained. At the same time, the global superconvergence in broken H (1)-norm is deduced by interpolation postprocessing technique. Moreover, the extrapolation result with order O(h (4)) is derived by constructing a new interpolation postprocessing operator and extrapolation scheme based on the known asymptotic expansion formulas of EQ (1) (rot) element. Finally, optimal error estimate is gained for a proposed fully-discrete scheme by different approaches from the previous literature.

• 出版日期2013-3
• 单位许昌学院