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Article: Multiscale tailored finite point method for second order elliptic equations with rough or highly oscillatory coefficients
| Title | Multiscale tailored finite point method for second order elliptic equations with rough or highly oscillatory coefficients |
|---|---|
| Authors | |
| Keywords | Elliptic Multiple scales Rough coefficients Tailored finite point method (TFPM) Equations Maximum principle |
| Issue Date | 2012 |
| Citation | Communications in Mathematical Sciences, 2012, v. 10, n. 3, p. 945-976 How to Cite? |
| Abstract | We develop a multiscale tailored finite point method (MsTFPM) for second order elliptic equations with rough or highly oscillatory coefficients. The finite point method has been tailored to some particular properties of the problem, so that it can capture the multiscale solutions using coarse meshes without resolving the fine scale structure of the solution. Several numerical examples in one-and two-dimensions are provided to show the accuracy and convergence of the proposed method. In addition, some analysis results based on the maximum principle for the one-dimensional problem are proved. © 2012 International Press. |
| Persistent Identifier | http://hdl.handle.net/10722/219667 |
| ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 0.756 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Han, Houde | - |
| dc.contributor.author | Zhang, Zhiwen | - |
| dc.date.accessioned | 2015-09-23T02:57:40Z | - |
| dc.date.available | 2015-09-23T02:57:40Z | - |
| dc.date.issued | 2012 | - |
| dc.identifier.citation | Communications in Mathematical Sciences, 2012, v. 10, n. 3, p. 945-976 | - |
| dc.identifier.issn | 1539-6746 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/219667 | - |
| dc.description.abstract | We develop a multiscale tailored finite point method (MsTFPM) for second order elliptic equations with rough or highly oscillatory coefficients. The finite point method has been tailored to some particular properties of the problem, so that it can capture the multiscale solutions using coarse meshes without resolving the fine scale structure of the solution. Several numerical examples in one-and two-dimensions are provided to show the accuracy and convergence of the proposed method. In addition, some analysis results based on the maximum principle for the one-dimensional problem are proved. © 2012 International Press. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Communications in Mathematical Sciences | - |
| dc.subject | Elliptic | - |
| dc.subject | Multiple scales | - |
| dc.subject | Rough coefficients | - |
| dc.subject | Tailored finite point method (TFPM) | - |
| dc.subject | Equations | - |
| dc.subject | Maximum principle | - |
| dc.title | Multiscale tailored finite point method for second order elliptic equations with rough or highly oscillatory coefficients | - |
| dc.type | Article | - |
| dc.description.nature | link_to_OA_fulltext | - |
| dc.identifier.doi | 10.4310/CMS.2012.v10.n3.a11 | - |
| dc.identifier.scopus | eid_2-s2.0-84861759181 | - |
| dc.identifier.volume | 10 | - |
| dc.identifier.issue | 3 | - |
| dc.identifier.spage | 945 | - |
| dc.identifier.epage | 976 | - |
| dc.identifier.eissn | 1945-0796 | - |
| dc.identifier.issnl | 1539-6746 | - |