| In this paper,some numerical approximation methods are proposed and analyzed for several kinds of evolution equations.In chapter one,we consider the following boundary value problem for the nonlinear hyperbolic problem with memory:J = [0,T],we consider the Finite Element Method numerical approximation.New initial approximation of ut(0) is taken.Optimal error estimates in Lp for 2 ≤ p ≤ ∞ are established for arbitrary order finite element. One order supercon-vergence in W1,9 for 2 ≤ p ≤ ∞ are demenstrated as well.In chapter two,we consider the Finite Volume Element Methods for nonlinear hyperbolic problem with memory in R1,... |
