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pro vyhledávání: '"Akrivis, Georgios"'
Autor:
Akrivis, Georgios, Larsson, Stig
The maximal regularity property of discontinuous Galerkin methods for linear parabolic equations is used together with variational techniques to establish a priori and a posteriori error estimates of optimal order under optimal regularity assumptions
Externí odkaz:
http://arxiv.org/abs/2407.15974
Stability of the BDF methods of order up to five for parabolic equations can be established by the energy technique via Nevanlinna--Odeh multipliers. The nonexistence of Nevanlinna--Odeh multipliers makes the six-step BDF method special; however, the
Externí odkaz:
http://arxiv.org/abs/2405.02872
We devise a projection-free iterative scheme for the approximation of harmonic maps that provides a second-order accuracy of the constraint violation and is unconditionally energy stable. A corresponding error estimate is valid under a mild but neces
Externí odkaz:
http://arxiv.org/abs/2310.00381
In combination with the Grenander--Szeg\"o theorem, we observe that a relaxed positivity condition on multipliers, milder than the basic %fundamental requirement of the Nevanlinna--Odeh multipliers that the sum of the absolute values of their compone
Externí odkaz:
http://arxiv.org/abs/2007.08924
For the Landau--Lifshitz--Gilbert (LLG) equation of micromagnetics we study linearly implicit backward difference formula (BDF) time discretizations up to order $5$ combined with higher-order non-conforming finite element space discretizations, which
Externí odkaz:
http://arxiv.org/abs/1903.05415
Akademický článek
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We analyze fully implicit and linearly implicit backward difference formula (BDF) methods for quasilinear parabolic equations, without making any assumptions on the growth or decay of the coefficient functions. We combine maximal parabolic regularity
Externí odkaz:
http://arxiv.org/abs/1606.03688
Autor:
Akrivis, Georgios, Li, Buyang
We establish optimal order a priori error estimates for implicit-explicit BDF methods for abstract semilinear parabolic equations with time-dependent operators in a complex Banach space settings, under a sharp condition on the non-self-adjointness of
Externí odkaz:
http://arxiv.org/abs/1606.01338
Publikováno v:
Mathematics of Computation, 2006 Apr 01. 75(254), 511-531.
Externí odkaz:
https://www.jstor.org/stable/4100298
Autor:
Akrivis, Georgios, Crouzeix, Michel
Publikováno v:
Mathematics of Computation, 2004 Apr 01. 73(246), 613-635.
Externí odkaz:
https://www.jstor.org/stable/4099792