On time-harmonic Maxwell equations with nonhomogeneous conductivities : Solvability and FE-approximation
Křížek, M. & Neittaanmäki, P (1989). On time-harmonic Maxwell equations with nonhomogeneous conductivities : Solvability and FE-approximation. Aplikace matematiky, 34.6 (1989): 480-499. Retrieved from https://eudml.org/doc/15604
Published inAplikace matematiky
The solvability of time-harmonic Maxwell equations in the 3D-case with nonhomogeneous conductivities is considered by adapting Sobolev space technique and variational formulation of the probJem in question. Moreover, a finite element approximation is presented in the 3D·case together with an error estimate in the energy norm. Some remarks are given to the 2D-problem arising from geophysics.
PublisherCeskoslovenska Akademie Ved
MetadataShow full item record
Showing items with similar title or keywords.
Neittaanmäki, Pekka; Picard, Rainer (Pergamon Press, 1981)The time harmonic acoustic boundary value problem in a smooth, bounded domain G of R2 is considered as a first order system. The optimal asymptotic L2(G) and H1(G)-error estimates 0(h2) and 0(h) resp. are derived for a ...
Airaksinen, Tuomas; Pennanen, Anssi; Toivanen, Jari (Elsevier, 2009)A physical damping is considered as a preconditioning technique for acoustic and elastic wave scattering. The earlier preconditioners for the Helmholtz equation are generalized for elastic materials and three-dimensional ...
Mönkölä, Sanna (University of Jyväskylä, 2008)
Mönkölä, Sanna (Elsevier, 2010)The classical way of solving the time-harmonic linear acousto-elastic wave problem is to discretize the equations with finite elements or finite differences. This approach leads to large-scale indefinite complex-valued ...
An optimization-based approach for solving a time-harmonic multiphysical wave problem with higher-order schemes Mönkölä, Sanna (Elsevier, 2013)This study considers developing numerical solution techniques for the computer simulations of time-harmonic fluid-structure interaction between acoustic and elastic waves. The focus is on the efficiency of an iterative ...