非线性sine-Gordon方程的连续时空混合有限元方法OA北大核心CSTPCD

The mixed finite element method was combined with the continuous space-time finite element meth-od to construct a continuous space-time mixed finite element scheme for sine-Gordon equations,through the introduction of independent variablep = utto solve the equations.This scheme uses the finite element method to treat both time and space variables.The space-time mixed finite element scheme can reduce the order of the e-quation and lower the smoothness requirements on the finite element space.The advantages of the finite ele-ment method was utilized in both the time and the space directions,thereby to obtain high-precision space-time numerical solutions.The stability of numerical solutions was strictly proven in the theoretical analysis,and er-ror estimates for u and p were provided.Finally,the effectiveness and feasibility of the proposed method were demonstrated through numerical examples.