首页|A fully discrete two-grid finite element method for nonlinear hyperbolic integro-differential equation
A fully discrete two-grid finite element method for nonlinear hyperbolic integro-differential equation
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NSTL
Elsevier
Two-grid fully discrete finite element approximations of the solution for a nonlinear hyperbolic integro-differential equation are considered and analyzed in this paper. The H-1-norm error estimate is derived, which shows that the optimal convergence order can be obtained when the coarse-grid of size Hand the fine-grid of size h satisfy h = O(H-2). Besides reducing the storage and saving a large amount of time, two-grid methods also keep the accuracy of convergence in calculations. Numerical examples are given to support our theoretical results and demonstrate the efficiency of the methods. (C) 2021 Elsevier Inc. All rights reserved.
Nonlinear hyperbolic integro-differential equationTwo-gridFinite element methodFully discrete schemeError estimatePARABOLIC EQUATIONSAPPROXIMATIONS2ND-ORDERSCHEMEFEMS
NSTL
Elsevier
