Error control and adaptivity for a phase relaxation model
文献类型：期刊论文
| 作者 | Chen, ZM; Nochetto, RH; Schmidt, A |
| 刊名 | ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
 |
| 出版日期 | 2000-07-01 |
| 卷号 | 34期号:4页码:775-797 |
| 关键词 | phase relaxation diffuse interface subdifferential operator finite elements a posteriori estimates adaptivity |
| ISSN号 | 0764-583X |
| 英文摘要 | The phase relaxation model is a diffuse interface model with small parameter epsilon which consists of a parabolic PDE for temperature theta and an ODE with double obstacles for phase variable chi. To decouple the system a semi-explicit Euler method with variable step-size tau is used for time discretization, which requires the stability constraint tau less than or equal to epsilon. Conforming piecewise linear finite elements over highly graded simplicial meshes with parameter h are further employed for space discretization. A posteriori error estimates are derived for both unknowns theta and chi, which exhibit the correct asymptotic order in terms of epsilon, h and tau. This result circumvents the use of duality, which does not even apply in this context. Several numerical experiments illustrate the reliability of the estimators and document the excellent performance of the ensuing adaptive method. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000089499000003 |
| 出版者 | E D P SCIENCES |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15325]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, ZM |
| 作者单位 | 1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 2.Univ Maryland, Dept Math, College Pk, MD 20742 USA 3.Univ Freiburg, Inst Angew Math, D-79104 Freiburg, Germany |
| 推荐引用方式 GB/T 7714 | Chen, ZM,Nochetto, RH,Schmidt, A. Error control and adaptivity for a phase relaxation model[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2000,34(4):775-797. |
| APA | Chen, ZM,Nochetto, RH,&Schmidt, A.(2000).Error control and adaptivity for a phase relaxation model.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,34(4),775-797. |
| MLA | Chen, ZM,et al."Error control and adaptivity for a phase relaxation model".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 34.4(2000):775-797. |
入库方式： OAI收割
来源：数学与系统科学研究院
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