Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. Theory
In our accompanying payer (K. Harriman et al., Electrochem. Commun. 2 (2000) 150) we demonstrated how, for the finite element method, an automatic mesh-adaptation algorithm can be derived, given an a posteriori error bound on the simulated current. In this paper we give the technical details of the...
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| Format: | Journal article |
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2000
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| _version_ | 1797053900147130368 |
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| author | Harriman, K Gavaghan, D Houston, P Suli, E |
| author_facet | Harriman, K Gavaghan, D Houston, P Suli, E |
| author_sort | Harriman, K |
| collection | OXFORD |
| description | In our accompanying payer (K. Harriman et al., Electrochem. Commun. 2 (2000) 150) we demonstrated how, for the finite element method, an automatic mesh-adaptation algorithm can be derived, given an a posteriori error bound on the simulated current. In this paper we give the technical details of the background theory of the finite element method, and the derivation of the a posteriori error bound. (C) 2000 Elsevier Science S.A. All rights reserved |
| first_indexed | 2024-03-06T18:50:02Z |
| format | Journal article |
| id | oxford-uuid:0fe859c7-8990-45a0-b080-5492fcc0ce51 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T18:50:02Z |
| publishDate | 2000 |
| record_format | dspace |
| spelling | oxford-uuid:0fe859c7-8990-45a0-b080-5492fcc0ce512022-03-26T09:53:36ZAdaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. TheoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0fe859c7-8990-45a0-b080-5492fcc0ce51Department of Computer Science2000Harriman, KGavaghan, DHouston, PSuli, EIn our accompanying payer (K. Harriman et al., Electrochem. Commun. 2 (2000) 150) we demonstrated how, for the finite element method, an automatic mesh-adaptation algorithm can be derived, given an a posteriori error bound on the simulated current. In this paper we give the technical details of the background theory of the finite element method, and the derivation of the a posteriori error bound. (C) 2000 Elsevier Science S.A. All rights reserved |
| spellingShingle | Harriman, K Gavaghan, D Houston, P Suli, E Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. Theory |
| title | Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. Theory |
| title_full | Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. Theory |
| title_fullStr | Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. Theory |
| title_full_unstemmed | Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. Theory |
| title_short | Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. Theory |
| title_sort | adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy theory |
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