Academic Journal
Adaptive Modeling and Simulation of Elastic, Dielectric and Piezoelectric Problems
| Τίτλος: | Adaptive Modeling and Simulation of Elastic, Dielectric and Piezoelectric Problems |
|---|---|
| Συγγραφείς: | Zboiński, Grzegorz |
| Πηγή: | MODID-6d55e02e354:IntechOpen |
| Στοιχεία εκδότη: | IntechOpen |
| Έτος έκδοσης: | 2018 |
| Θεματικοί όροι: | Computers / Computer Simulation, bisacsh:COM072000 |
| Περιγραφή: | In this chapter, theoretical and implementation details of the algorithms of hierarchical modeling and hierarchical hp-approximations, residual error estimation methods and four-step adaptive procedures are considered in the context of their application to modeling and simulation of the problems of elasticity, dielectricity and piezoelectricity. In the hierarchical modeling, 3D-based hierarchical elastic and dielectric models are applied. The adaptive discretization process is based on the hierarchical shape functions and the constrained approximations. In the error estimation, the equilibrated residual method is applied, which serves the total and approximation error assessment. These errors control the model and hp-adaptivity. In the case of adaptive algorithms, four-step procedure is utilized. It includes global solutions on the initial mesh, mesh modified in order to remove some undesired numerical phenomena, the intermediate h-refined mesh and the final (or target) p-enriched mesh. Examples demonstrating the effectivity of the mentioned modeling and approximation, error estimation and adaptivity control parts of the overall simulation algorithm in the three classes of problems are presented. |
| Τύπος εγγράφου: | article in journal/newspaper |
| Περιγραφή αρχείου: | application/pdf |
| Γλώσσα: | English |
| ISBN: | 978-953-51-3849-5 953-51-3849-9 |
| DOI: | 10.5772/intechopen.72265 |
| Διαθεσιμότητα: | https://openresearchlibrary.org/viewer/aa20b0ef-5e37-46b1-b1e5-faa1c379bd2c https://openresearchlibrary.org/ext/api/media/aa20b0ef-5e37-46b1-b1e5-faa1c379bd2c/assets/external_content.pdf https://doi.org/10.5772/intechopen.72265 |
| Rights: | https://creativecommons.org/licenses/by/4.0/legalcode |
| Αριθμός Καταχώρησης: | edsbas.4F37CF8E |
| Βάση Δεδομένων: | BASE |
| ISBN: | 9789535138495 9535138499 |
|---|---|
| DOI: | 10.5772/intechopen.72265 |