Academic Journal
Optimal order error estimates of a mixed discontinuous Galerkin method with BDF-2 scheme for transient Darcy flow.
| Τίτλος: | Optimal order error estimates of a mixed discontinuous Galerkin method with BDF-2 scheme for transient Darcy flow. |
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| Συγγραφείς: | Shah, Sheheryar1 (AUTHOR) shayree007@yahoo.com, He, Limin2 (AUTHOR), Cai, Wentao3 (AUTHOR), Khattak, Shahzad4 (AUTHOR) |
| Πηγή: | Waves in Random & Complex Media. Oct2026, Vol. 36 Issue 5, p7872-7892. 21p. |
| Θεματικοί όροι: | *Time integration scheme, *Galerkin methods, *Computer simulation, *Groundwater flow, *Flow velocity, *Stability (Mechanics) |
| Περίληψη: | In this paper, we study the numerical solution of Darcy flow via a mixed discontinuous Galerkin method. The two-step Euler backward formula is used for the time variable discretization and a mixed discontinuous Galerkin method is applied to spatial variable discretization. The stability results are established for our mixed discontinuous Galerkin numerical scheme in a fully discrete framework. Optimal error estimates for our unconditional scheme are derived for both the velocity and pressure variables. Finally, a numerical experiment is provided to approve the accuracy and efficiency of the proposed numerical method. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: | Academic Search Index |
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