【摘要】 <正> 设Ω是R^d中具有光滑边界的有界域,考虑模型问题: 在Ω×（0,∞）内, 在αΩ×（0,∞）上, （1） 在Ω内。假设给定了H₀¹（Ω）中一族有限维子空间{S_h},由分片r—1次多项式构成。 记Δ_h为离散Laplace算子,定义为:更多还原

【Abstract】 We analyze the Galerkin method of a parabolic partial -differential equation in time discretization for the semidiscrete problems with data only in L . By using elementary energy techniques and spectral representations we prove an optimal order error estimate of the solution of the semidiscrete and completely discrete with weighted norm for higher order finite element in time.更多还原