| This thesis is concerned with L1-norm error estimates for viscosity approximations of theinitial-boundary value problem of scalar conservation laws with non-convexity conditions.Under the condition that the flux function has one inflection point, according to the geometricstructure of its weak entropy solutions, by using a matching method and the traveling wavesolutions, we derive an error between the viscosity solution and its invisid solution is bounded byO(ε1/2+ε|1nε|) in L1-norm for the initial-boundary value problem whose initial data is twopieces of constant and boundary data is constant.
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