Zobrazeno 1 - 10
of 11 625
pro vyhledávání: '"high order methods"'
Second-order methods for convex optimization outperform first-order methods in terms of theoretical iteration convergence, achieving rates up to $O(k^{-5})$ for highly-smooth functions. However, their practical performance and applications are limite
Externí odkaz:
http://arxiv.org/abs/2410.04083
Autor:
Dong, Zhaonan, Ern, Alexandre
We present both $hp$-a priori and $hp$-a posteriori error analysis of a mixed-order hybrid high-order (HHO) method to approximate second-order elliptic problems on simplicial meshes. Our main result on the $hp$-a priori error analysis is a $\frac12$-
Externí odkaz:
http://arxiv.org/abs/2410.02540
Autor:
Tran, Ngoc Tien
This paper proposes hybrid high-order eigensolvers for the computation of guaranteed lower eigenvalue bounds. These bounds display higher order convergence rates and are accessible to adaptive mesh-refining algorithms. The involved constants arise fr
Externí odkaz:
http://arxiv.org/abs/2406.06244
This work considers the variable-exponent fractional diffusion-wave equation, which describes, e.g. the propagation of mechanical diffusive waves in viscoelastic media with varying material properties. Rigorous numerical analysis for this model is no
Externí odkaz:
http://arxiv.org/abs/2406.02941
Autor:
Oblapenko, Georgii, Torrilhon, Manuel
A framework for numerical evaluation of entropy-conservative volume fluxes in gas flows with internal energies is developed, for use with high-order discretization methods. The novelty of the approach lies in the ability to use arbitrary expressions
Externí odkaz:
http://arxiv.org/abs/2403.16882