Name
Abstract | ||
|---|---|---|
In this paper, a fully non-conforming least-squares spectral element method for fourth order elliptic problems on smooth domains is presented. The proposed method works for a general fourth order elliptic operator with non-homogeneous data in two dimensions and gives exponentially accurate solutions. We derive differentiability estimates and prove our main stability estimate theorem using a non-conforming spectral element method. We then formulate a numerical scheme using a block diagonal preconditioner. Error estimates are also proven for the proposed method. We provide the computational complexity of our method and present results of numerical simulations that have been performed to validate the theory. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1007/s10915-016-0300-z | J. Sci. Comput. |
Keywords | Field | DocType |
Spectral element method, Linear fourth order elliptic problems, Differentiability estimates, Stability estimates, Exponential accuracy, Degrees of freedom | Mathematical optimization,Preconditioner,Mathematical analysis,Fourth order,Elliptic operator,Differentiable function,Mathematics,Block matrix,Exponential growth,Spectral element method,Computational complexity theory | Journal |
Volume | Issue | ISSN |
71 | 1 | 1573-7691 |
Citations | PageRank | References |
1 | 0.38 | 11 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Arbaz Khan | 1 | 15 | 3.46 |
| Akhlaq Husain | 2 | 6 | 1.62 |