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

PANG Naihong; LI Hong

doi:10.21656/1000-0887.410053

Volume 41 Issue 8

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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. 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. doi: 10.21656/1000-0887.410053

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

doi: 10.21656/1000-0887.410053

School of Mathematical Sciences, Inner Mongolia University, Huhhot 010021, P.R.China

Funds: The National Natural Science Foundation of China(11761053)

Received Date: 2020-02-19
Publish Date: 2020-08-01

Abstract

Abstract

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.
- mixed space-time finite element scheme,
- Sobolev equation,
- existence, stability and uniqueness,
- error estimate,

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References(8)

References

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