Finite element approximation for a div-rot system with mixed boundary conditions in non-smooth plane domains
Křížek, M.& Neittaanmäki,P. (1984). Finite element approximation for a div-rot system with mixed boundary conditions in non-smooth plane domains. Aplikace matematiky, 29 (4), 272-285. Retrieved from https://eudml.org/doc/15357
Published inAplikace matematiky
© Československá akademie věd. Matematický ústav, 1984.
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.
PublisherČeskoslovenská akademie věd. Matematický ústav.
MetadataShow full item record
Showing items with similar title or keywords.
Křížek, Michal; Neittaanmäki, Pekka (Československá akademie věd. Matematický ústav., 1985)
Geiss, Christel; Steinicke, Alexander (International Statistical Institute; Bernoulli Society for Mathematical Statistics and Probability, 2016)We consider the L2-regularity of solutions to backward stochastic differential equations (BSDEs) with Lipschitz generators driven by a Brownian motion and a Poisson random measure associated with a Lévy process (Xt)t∈[0,T]. ...
Lasiecka, I.; Sokołowski, J.; Neittaanmäki, Pekka (Polish Academy of Sciences, Institute of Mathematics, 1990)A numerical method for solving the wave equation with nonhomogenuous, nonsmooth Dirichlet boundary condition is proposed. Convergence of the method is proved and some erràr estimates are derived [L-S-2]. The method ...
On the convergence of the finite element approximation of eigenfrequencies and eigenvectors to Maxwell's boundary value problem Neittaanmäki, Pekka; Picard, Rainer (Suomalainen tiedeakatemia, 1981)
Neittaanmäki, Pekka; Pennanen, Anssi; Tiba, Dan (IOP Publishing, 2009)Fixed domain methods have well-known advantages in the solution of variable domain problems including inverse interface problems. This paper examines two new control approaches to optimal design problems governed by general ...