论文信息 - Mixed finite element method for a strongly damped wave equation

Mixed finite element method for a strongly damped wave equation

A mixed finite element Galerkin method is analyzed for a strongly damped wave equation. Optimal error estimates in L2-norm for the velocity and stress are derived using usual energy argument, while those for displacement are based on the nonstandard energy formulation of Baker. Both a semi-discrete scheme and a second-order implicit-time discretization method are discussed, and it is shown that the results are valid for all t > 0. © 2001 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 17: 105–119, 2001

A. K. Pani | Jinyun Yuan

[1] G. A. Baker. Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations , 1976 .

[2] J. Nédélec. Mixed finite elements in ℝ3 , 1980 .

[3] V. Thomée,et al. Error estimates for some mixed finite element methods for parabolic type problems , 1981 .

[4] T. Geveci. On the application of mixed finite element methods to the wave equations , 1988 .

[5] T. Dupont,et al. A Priori Estimates for Mixed Finite Element Approximations of Second Order Hyperbolic Equations with , 1996 .

[6] T. Dupont,et al. A Priori Estimates for Mixed Finite Element Methods for the Wave Equation , 1990 .

[7] Franco Brezzi Michel Fortin,et al. Mixed and Hybrid Finite Element Methods (Springer Series in Computational Mathematics) , 1991 .

[8] V. Thomée,et al. Finite-Element Methods for a Strongly Damped Wave Equation , 1991 .

[9] Michel Fortin,et al. Mixed and Hybrid Finite Element Methods , 2011, Springer Series in Computational Mathematics.

[10] C. Makridakis. On mixed finite element methods for linear elastodynamics , 1992 .