【摘要】 本文讨论了一类半线性抛物型积分微分方程的间断时空有限元方法．利用有限元和有限差分方法相结合的技巧,在时间离散区间内,利用Radau点处Lagrange插值多项式的特性,去掉间断时空有限元的传统证明过程中对时空网格的限制条件,并给出了时间最大模、空间L₂模,即L_∞（L₂）模的误差估计．更多还原

【Abstract】 Adaptive space-time finite element method,continuous in space but discontin- uous in time for a semilinear parabolic integro-differential equation is discussed. The approach is based on combination of finite element and finite difference tech- niques.In the discrete intervals of time,using properties of Lagrange interpolating polynomials at Radau points,eliminate the restriction to space-time meshes of con- ventional space-time discontinuous Galerkin methods.Error estimate in L_∞（L₂） norm,that is Maximum-norm in time,L₂-norm in space are obtained.更多还原