Name
Title | ||
|---|---|---|
Quasi-Uniform And Unconditional Superconvergence Analysis Of Ciarlet-Raviart Scheme For The Fourth Order Singularly Perturbed Bi-Wave Problem Modeling D-Wave Superconductors |
Abstract | ||
|---|---|---|
In this paper, two implicit Backward Euler (BE) and Crank-Nicolson (CN) formulas of Ciarlet-Raviart mixed finite element method (FEM) are presented for the fourth order time-dependent singularly perturbed Bi-wave problem arising as a time-dependent version of Ginzburg-Landau-type model for d-wave superconductors by the bilinear element. The well-posedness of the weak solution and the approximation solutions of the considered problem are proved through Faedo-Galerkin technique and Brouwer fixed point theorem, respectively. The quasi-uniform and unconditional superconvergent estimates of O(h(2) + tau) and O(h(2) + tau(2))(h, the spatial parameter, and tau, the time step) in the broken H-1- norm are obtained for the above formulas independent of the negative powers of the perturbation parameter delta. Some numerical results are provided to illustrate our theoretical analysis. (C) 2021 Elsevier Inc. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1016/j.amc.2020.125924 | APPLIED MATHEMATICS AND COMPUTATION |
Keywords | DocType | Volume |
Bi-wave problem, Ciarlet-Raviart method, Well-posedness, Quasi-uniform and unconditional, Superconvergence | Journal | 397 |
ISSN | Citations | PageRank |
0096-3003 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yanmi Wu | 1 | 0 | 0.34 |
| Dongyang Shi | 2 | 0 | 1.69 |