The Dirichlet boundary conditions and related natural boundary conditions in strengthened Sobolev spaces for discretized parabolic problems.
D'yakonov, E. (2000)
Discrete Dynamics in Nature and Society
Similarity:
Displaying similar documents to “On explicit and numerical solvability of parabolic initial-boundary value problems.”
The Dirichlet boundary conditions and related natural boundary conditions in strengthened Sobolev spaces for discretized parabolic problems.
Diffusion and propagation problems in some ramified domains with a fractal boundary
Yves Achdou, Christophe Sabot, Nicoletta Tchou (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
This paper is devoted to some elliptic boundary value problems in a self-similar ramified domain of with a fractal boundary. Both the Laplace and Helmholtz equations are studied. A generalized Neumann boundary condition is imposed on the fractal boundary. Sobolev spaces on this domain are studied. In particular, extension and trace results are obtained. These results enable the investigation of the variational formulation of the above mentioned boundary value problems. Next, for...
On the solution of elliptic partial differential equations with an unbounded Dirichlet integral
Nečas, J.
Similarity:
Some variants of the method of fundamental solutions: regularization using radial and nearly radial basis functions
Csaba Gáspár (2013)
Open Mathematics
Similarity:
The method of fundamental solutions and some versions applied to mixed boundary value problems are considered. Several strategies are outlined to avoid the problems due to the singularity of the fundamental solutions: the use of higher order fundamental solutions, and the use of nearly fundamental solutions and special fundamental solutions concentrated on lines instead of points. The errors of the approximations as well as the problem of ill-conditioned matrices are illustrated via...