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A mixed finite-element method for elliptic operators with Wentzell boundary condition.
- Source :
- IMA Journal of Numerical Analysis; Jan2020, Vol. 40 Issue 1, p87-108, 22p
- Publication Year :
- 2020
-
Abstract
- In this paper we introduce and analyze a mixed finite-element approach for a coupled bulk-surface problem of second order with a Wentzell boundary condition. The problem is formulated on a domain with a curved smooth boundary. We introduce a mixed formulation that is equivalent to the usual weak formulation. Furthermore, optimal a priori error estimates between the exact solution and the finite-element approximation are derived. To this end, the curved domain is approximated by a polyhedral domain introducing an additional geometrical error that has to be bounded. A computational result confirms the theoretical findings. [ABSTRACT FROM AUTHOR]
- Subjects :
- FINITE element method
ELLIPTIC equations
ELLIPTIC operators
Subjects
Details
- Language :
- English
- ISSN :
- 02724979
- Volume :
- 40
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- IMA Journal of Numerical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 141171635
- Full Text :
- https://doi.org/10.1093/imanum/dry068