PANG Naihong, LI Hong. Error Estimates of Mixed Space-Time Finite Element Solutions to Sobolev Equations[J]. Applied Mathematics and Mechanics, 2020, 41(8): 834-843. doi: 10.21656/1000-0887.410053
 Citation: PANG Naihong, LI Hong. Error Estimates of Mixed Space-Time Finite Element Solutions to Sobolev Equations[J]. Applied Mathematics and Mechanics, 2020, 41(8): 834-843.

# Error Estimates of Mixed Space-Time Finite Element Solutions to Sobolev Equations

##### doi: 10.21656/1000-0887.410053
Funds:  The National Natural Science Foundation of China(11761053)
• Publish Date: 2020-08-01
• The mixed space-time finite element scheme for Sobolev equations was constructed through introduction of auxiliary variables. The scheme can not only reduce the order of the equation with the mixed method, but discretize both space and time variables by means of the finite element technique. A numerical model of high-order accuracy in space and time was obtained. The existence, stability and uniqueness of the mixed space-time finite element solution were proved. The error estimates were derived with the space-time projection operator.
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沈阳化工大学材料科学与工程学院 沈阳 110142