6533b88afe1ef96bd12e2233
RESEARCH PRODUCT
Finite element approximation for a div-rot system with mixed boundary conditions in non-smooth plane domains
Křížek, MichalNeittaanmäki, Pekkasubject
finite element method [keyword]msc:65Z05piecewise smooth boundary [keyword]Piecewise linear element fields [keyword]numerical examples [keyword]div-rot system [keyword]msc:65N30div-rot systemmixed boundary conditions [keyword]msc:78A25Maxwell equations [keyword]msc:35Q99description
The authors examine a finite element method for the numerical approximation of the solution to a div-rot system with mixed boundary conditions in bounded plane domains with piecewise smooth boundary. The solvability of the system both in an infinite and finite dimensional formulation is proved. Piecewise linear element fields with pointwise boundary conditions are used and their approximation properties are studied. Numerical examples indicating the accuracy of the method are given. peerReviewed
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1984-01-01 |