The Time DiscontinuousH1-Galerkin Mixed Finite Element Method for Linear Sobolev Equations
Keyword(s):
We combine theH1-Galerkin mixed finite element method with the time discontinuous Galerkin method to approximate linear Sobolev equations. The advantages of these two methods are fully utilized. The approximate schemes are established to get the approximate solutions by a piecewise polynomial of degree at mostq-1with the time variable. The existence and uniqueness of the solutions are proved, and the optimalH1-norm error estimates are derived. We get high accuracy for both the space and time variables.
2016 ◽
Vol 34
(1_2)
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pp. 19-34
2017 ◽
Vol 34
(1)
◽
pp. 145-166
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2009 ◽
Vol 80
(2)
◽
pp. 341-351
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2019 ◽
Vol 348
◽
pp. 342-355
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2016 ◽
Vol 72
(6)
◽
pp. 1590-1602
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2021 ◽
Vol 393
◽
pp. 113504
Keyword(s):