Author:
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ISBN:
Category :
Languages : en
Pages : 51
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Book Description
Superconvergent error estimates in e2(H1) and einfinity(H1) norms are derived for recovered gradients of finite difference in time/piecewise linear Galerkin approximations in space for linear and quasi-nonlinear parabolic problems in two space dimensions. The analysis extends previous results for elliptic problems to the parabolic context, and covers problems in regions with non-smooth boundaries under certain assumptions on the regularity of the solutions.
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Publisher:
ISBN:
Category : Military research
Languages : en
Pages : 302
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Book Description
Author: Michel Krizek
Publisher: Routledge
ISBN: 1351448617
Category : Mathematics
Languages : en
Pages : 368
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Book Description
""Based on the proceedings of the first conference on superconvergence held recently at the University of Jyvaskyla, Finland. Presents reviewed papers focusing on superconvergence phenomena in the finite element method. Surveys for the first time all known superconvergence techniques, including their proofs.
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 410
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Book Description
Author: Vidar Thomée
Publisher:
ISBN:
Category :
Languages : en
Pages : 80
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 926
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Book Description
Author: G. Goodsell
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1114
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Book Description
Author: Michal Křížek
Publisher:
ISBN:
Category :
Languages : en
Pages : 17
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Book Description
Author: Jérôme Droniou
Publisher: Springer
ISBN: 9783319790411
Category : Mathematics
Languages : en
Pages : 497
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Book Description
This monograph presents the Gradient Discretisation Method (GDM), which is a unified convergence analysis framework for numerical methods for elliptic and parabolic partial differential equations. The results obtained by the GDM cover both stationary and transient models; error estimates are provided for linear (and some non-linear) equations, and convergence is established for a wide range of fully non-linear models (e.g. Leray–Lions equations and degenerate parabolic equations such as the Stefan or Richards models). The GDM applies to a diverse range of methods, both classical (conforming, non-conforming, mixed finite elements, discontinuous Galerkin) and modern (mimetic finite differences, hybrid and mixed finite volume, MPFA-O finite volume), some of which can be built on very general meshes.span style="" ms="" mincho";mso-bidi-font-family:="" the="" core="" properties="" and="" analytical="" tools="" required="" to="" work="" within="" gdm="" are="" stressed,="" it="" is="" shown="" that="" scheme="" convergence="" can="" often="" be="" established="" by="" verifying="" a="" small="" number="" of="" properties.="" scope="" some="" featured="" techniques="" results,="" such="" as="" time-space="" compactness="" theorems="" (discrete="" aubin–simon,="" discontinuous="" ascoli–arzela),="" goes="" beyond="" gdm,="" making="" them="" potentially="" applicable="" numerical="" schemes="" not="" (yet)="" known="" fit="" into="" this="" framework.span style="font-family:" ms="" mincho";mso-bidi-font-family:="" this="" monograph="" is="" intended="" for="" graduate="" students,="" researchers="" and="" experts="" in="" the="" field="" of="" numerical="" analysis="" partial="" differential="" equations./ppiiiiibr/i/i/i/i/i/p
