A Posteriori Error Estimation for Parabolic Problems with Dynamic Boundary Conditions

Abstract: This paper is concerned with adaptive mesh refinement strategies for the spatial discretization of parabolic problems with dynamic boundary conditions. This includes the characterization of inf–sup stable discretization schemes for a stationary model problem as a preliminary step. Based on an alternative formulation of the system as a partial differential–algebraic equation, we introduce a posteriori error estimators which allow local refinements as well as a special treatment of the boundary. We prove reliability and efficiency of the estimators and illustrate their performance in several numerical experiments. https://www.tib-op.org/ojs/index.php/dae-p/article/view/181

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Language: Englisch

References and Relationships

• Bibliographic citation: A Posteriori Error Estimation for Parabolic Problems with Dynamic Boundary Conditions ; volume:2 ; year:2024 ; DAE panel ; 2 (2024)

Contributors, Places and Time

• Creator: Altmann, Robert ; Zimmer, Christoph

Further information

• DOI: 10.52825/dae-p.v2i.181
• URN: urn:nbn:de:101:1-2406241125197.804877494020
• Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
• Last update: 14.08.2025, 10:58 AM CEST