Numerical modeling of quasi-steady process in conducting nondispersive medium with relaxation. (English) Zbl 1338.78021

Bogatyreva, E. A.

J. Comput. Eng. Math. 2, No. 1, 45-51 (2015).

In this paper there are obtained sufficient conditions for the existence and uniqueness of weak distributional solutions for a class of Cauchy-Dirichlet problems that arise in quasi-steady processes in conducting nondispersive media with relaxation. The proof combines variational and analytic arguments. The results are illustrated by numerical experiments.

Reviewer: Teodora-Liliana Rădulescu (Craiova)

MSC:

78M10	Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory
65N30	Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65J15	Numerical solutions to equations with nonlinear operators
65M60	Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs

Keywords:

quasi-steady process; conducting nondispersive medium; Galerkin method