Discrete maximum principle for parabolic problems solved by prismatic finite elements.
In this paper we analyze the discrete maximum principle (DMP) for a non-stationary diffusion-reaction problem solved by means of prismatic finite elements and θ-method. We derive geometric conditions on the shape parameters of prismatic partitions and time-steps which a priori guarantee validity of...
| Main Authors: | , , |
|---|---|
| Format: | Journal article |
| Published: |
2010
|
| _version_ | 1797055055888646144 |
|---|---|
| author | Vejchodský, T Korotov, S Hannukainen, A |
| author_facet | Vejchodský, T Korotov, S Hannukainen, A |
| author_sort | Vejchodský, T |
| collection | OXFORD |
| description | In this paper we analyze the discrete maximum principle (DMP) for a non-stationary diffusion-reaction problem solved by means of prismatic finite elements and θ-method. We derive geometric conditions on the shape parameters of prismatic partitions and time-steps which a priori guarantee validity of the DMP. The presented numerical tests illustrate the sharpness of the obtained conditions. © 2009 IMACS. |
| first_indexed | 2024-03-06T19:06:05Z |
| format | Journal article |
| id | oxford-uuid:152e1f98-c938-48b4-bc96-a8adf69e3717 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:06:05Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:152e1f98-c938-48b4-bc96-a8adf69e37172022-03-26T10:24:03ZDiscrete maximum principle for parabolic problems solved by prismatic finite elements.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:152e1f98-c938-48b4-bc96-a8adf69e3717Symplectic Elements at Oxford2010Vejchodský, TKorotov, SHannukainen, AIn this paper we analyze the discrete maximum principle (DMP) for a non-stationary diffusion-reaction problem solved by means of prismatic finite elements and θ-method. We derive geometric conditions on the shape parameters of prismatic partitions and time-steps which a priori guarantee validity of the DMP. The presented numerical tests illustrate the sharpness of the obtained conditions. © 2009 IMACS. |
| spellingShingle | Vejchodský, T Korotov, S Hannukainen, A Discrete maximum principle for parabolic problems solved by prismatic finite elements. |
| title | Discrete maximum principle for parabolic problems solved by prismatic finite elements. |
| title_full | Discrete maximum principle for parabolic problems solved by prismatic finite elements. |
| title_fullStr | Discrete maximum principle for parabolic problems solved by prismatic finite elements. |
| title_full_unstemmed | Discrete maximum principle for parabolic problems solved by prismatic finite elements. |
| title_short | Discrete maximum principle for parabolic problems solved by prismatic finite elements. |
| title_sort | discrete maximum principle for parabolic problems solved by prismatic finite elements |
| work_keys_str_mv | AT vejchodskyt discretemaximumprincipleforparabolicproblemssolvedbyprismaticfiniteelements AT korotovs discretemaximumprincipleforparabolicproblemssolvedbyprismaticfiniteelements AT hannukainena discretemaximumprincipleforparabolicproblemssolvedbyprismaticfiniteelements |