Abstract
H1-Galerkin mixed finite element method combining with expanded mixed element method are discussed for a class of second-order pseudo-hyperbolic equations. The methods possesses the advantage of mixed finite element while avoiding directly inverting the permeability tensor, which is important especially in a low permeability zone. Depended on the physical quantities of interest, the methods are discussed. The existence and uniqueness of numerical solutions of the scheme are derived and an optimal order error estimate for the methods is obtained.
Publisher
Trans Tech Publications, Ltd.
Reference6 articles.
1. J. Nagumo, S. Arimoto,S. Yoshizawa, An active pulse transmission line simulating nerve axon, Proc. IRE, 1962, 50 , 91-102.
2. C.V. Pao, A mixed initial boundary value problem arising in neurophysiology, J. Math. Anal. Appl. , 1975, 52: 105-119.
3. R. Arima, Y. Hasegawa, On global solutions to a class of mixed problems of a semi-linear differential equation, Proc. Jpn. Acad., 1963, 39: 721-725.
4. G. Ponce, Global existence of small of solutions to a class of nonlinear, Nonlinear Anal., 1985 , 9: 399-418.
5. Weiming Wan, Yacheng Liu, Long time behavior of solutions for initial boundary value problem of pseudohyperbolic equations, Acta Math Appl. Sin. , 1999, 22(2): 311-355.
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