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Linear scheme for finite element solution of nonlinear parabolic-elliptic problems with nonhomogeneous Dirichlet boundary condition

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dc.title Linear scheme for finite element solution of nonlinear parabolic-elliptic problems with nonhomogeneous Dirichlet boundary condition en
dc.contributor.author Říhová-Škabrahová, Dana
dc.relation.ispartof Applications of Mathematics
dc.identifier.issn 0862-7940 Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued 2001
utb.relation.volume 46
utb.relation.issue 2
dc.citation.spage 103
dc.citation.epage 144
dc.type article
dc.language.iso en
dc.publisher Springer Netherlands
dc.identifier.doi 10.1023/A:1013783722140
dc.relation.uri http://www.dml.cz/handle/10338.dmlcz/134460
dc.subject Finite element method en
dc.subject Parabolic-elliptic problems en
dc.subject Two-dimensional electromagnetic field en
dc.description.abstract The computation of nonlinear quasistationary two-dimensional magnetic fields leads to a nonlinear second order parabolic-elliptic initial-boundary value problem. Such a problem with a nonhomogeneous Dirichlet boundary condition on a part Γ1 of the boundary is studied in this paper. The problem is discretized in space by the finite element method with linear functions on triangular elements and in time by the implicit-explicit method (the left-hand side by the implicit Euler method and the right-hand side by the explicit Euler method). The scheme we get is linear. The strong convergence of the method is proved under the assumptions that the boundary #Ω is piecewise of class C3 and the initial condition belongs to L2 only. Strong monotonicity and Lipschitz continuity of the form a(v, w) is not an assumption, but a property of this form following from its physical background. en
utb.faculty Faculty of Technology
dc.identifier.uri http://hdl.handle.net/10563/1006522
utb.identifier.scopus 2-s2.0-0040925984
utb.identifier.coden APMTE
utb.source j-scopus
dc.date.accessioned 2016-07-26T14:58:43Z
dc.date.available 2016-07-26T14:58:43Z
utb.contributor.internalauthor Říhová-Škabrahová, Dana
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