一类非线性双曲型方程扩展混合有限元方法的误差估计

Abstract

Abstract:

In this paper, expanded mixed finite element method is developed for a class of nonlinear hyperbolic equation. A priori error estimate for the space discrete scheme is discussed in L^∞(L²) norm. Centered finite differences are used to advance in time, a fully discrete scheme is proposed. Further, a priori error estimate for the fully discrete scheme is established. Finally, a numerical example is presented to confirm the theoretical results.

Key words: Nonlinear hyperbolic equation, Expanded mixed finite element method, Error estimate

CLC Number:

O241.82

Keyan Wang,Qisheng Wang. Error Estimates for Expanded Mixed Finite Element Methods for Nonlinear Hyperbolic Equation[J].Acta mathematica scientia,Series A, 2021, 41(2): 468-478.

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Error Estimates for Expanded Mixed Finite Element Methods for Nonlinear Hyperbolic Equation

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