Zobrazeno 1 - 10 of 71 pro vyhledávání: '"Emmanuil H Georgoulis"'
1
Lower bounds, elliptic reconstruction and a posteriori error control of parabolic problems
Autor: Emmanuil H Georgoulis, Charalambos G Makridakis
Publikováno v: IMA Journal of Numerical Analysis.
A popular approach for proving a posteriori error bounds in various norms for evolution problems with partial differential equations uses reconstruction operators to recover conforming objects from the approximate solutions. So far, lower bounds in r
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4b32d0d95bc7e8951a52bda82f4739a1
https://doi.org/10.1093/imanum/drac080
Zobrazit plný text záznamu
2
ℎ𝑝-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements
Autor: Emmanuil H. Georgoulis, Zhaonan Dong, Andrea Cangiani
Publikováno v: Mathematics of Computation
Mathematics of Computation, 2022, 91 (333), pp.1-35. ⟨10.1090/mcom/3667⟩
Mathematics of Computation, American Mathematical Society, 2022, 91 (333), pp.1-35. ⟨10.1090/mcom/3667⟩
Mathematics of Computation, American Mathematical Society, In press, ⟨10.1090/mcom/3667⟩
We extend the applicability of the popular interior penalty discontinuous Galerkin method discretizing advection-diffusion-reaction problems to meshes comprising extremely general, essentially arbitrarily-shaped element shapes. In particular, our ana
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e042c0d8bf364a9dd11e76da25b8a913
https://doi.org/10.1090/mcom/3667
Zobrazit plný text záznamu
3
Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods
Autor: Oliver J. Sutton, Andrea Cangiani, Emmanuil H. Georgoulis
Publikováno v: Mathematical Models and Methods in Applied Sciences. 31:711-751
We present a posteriori error estimates for inconsistent and non-hierarchical Galerkin methods for linear parabolic problems, allowing them to be used in conjunction with very general mesh modification for the first time. We treat schemes which are n
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::381efdbb403116b0b8ab29efca85e921
https://doi.org/10.1142/s0218202521500172
Zobrazit plný text záznamu
4
Robust interior penalty discontinuous Galerkin methods
Autor: Zhaonan Dong, Emmanuil H. Georgoulis
Publikováno v: Journal of Scientific Computing
Journal of Scientific Computing, 2022, 92 (2), pp.57. ⟨10.1007/s10915-022-01916-6⟩
Classical interior penalty discontinuous Galerkin (IPDG) methods for diffusion problems require a number of assumptions on the local variation of mesh-size, polynomial degree, and of the diffusion coefficient to determine the values of the, so-called
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::06e577de98ab19c3cdf42b4b5bced6f9
https://inria.hal.science/hal-03315088v3/file/DG-weighted_revision.pdf
Zobrazit plný text záznamu
5
Hypocoercivity-compatible Finite Element Methods for the Long-time Computation of Kolmogorov's Equation
Autor: Emmanuil H. Georgoulis
Publikováno v: SIAM Journal on Numerical Analysis. 59:173-194
This work is concerned with the development of a family of Galerkin finite element methods for the classical Kolmogorov's equation. Kolmogorov's equation serves as a sufficiently rich, for our purposes, model problem for kinetic-type equations and is
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a8c33d4b6044a059a717d93a42397ef
https://doi.org/10.1137/19m1296914
Zobrazit plný text záznamu
7
Recovered finite element methods on polygonal and polyhedral meshes
Autor: Emmanuil H. Georgoulis, Tristan Pryer, Zhaonan Dong
Publikováno v: ESAIM: Mathematical Modelling and Numerical Analysis. 54:1309-1337
Recovered Finite Element Methods (R-FEM) have been recently introduced in Georgoulis and Pryer [Comput. Methods Appl. Mech. Eng. 332 (2018) 303–324]. for meshes consisting of simplicial and/or box-type elements. Here, utilising the flexibility of t
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cdfc614a0be4163c5c67bfbd93b1d584
https://doi.org/10.1051/m2an/2019047
Zobrazit plný text záznamu
8
GPU-accelerated discontinuous Galerkin methods on polytopic meshes
Autor: Emmanuil H. Georgoulis, Thomas Kappas, Zhaonan Dong
Publikováno v: SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2021, 43 (4), ⟨10.1137/20M1350984⟩
SIAM Journal on Scientific Computing, 2021, 43 (4), pp.C312-C334. ⟨10.1137/20M1350984⟩
SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2021, 43 (4), pp.C312-C334. ⟨10.1137/20M1350984⟩
International audience; Discontinuous Galerkin (dG) methods on meshes consisting of polygonal/polyhedral (henceforth, collectively termed as polytopic) elements have received considerable attention in recent years. Due to the physical frame basis fun
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aac94b8e0a96c7ff4e1923ba880eb296
https://hal.inria.fr/hal-03109548
Zobrazit plný text záznamu
9
hp-adaptive discontinuous Galerkin methods for non-stationary convection–diffusion problems
Autor: Stefano Giani, Stephen Metcalfe, Andrea Cangiani, Emmanuil H. Georgoulis
Publikováno v: Computers and mathematics with applications., 2019, Vol.78(9), pp.3090-3104 [Peer Reviewed Journal]
An a posteriori error estimator for the error in the (L2(H1)+L1(L2))-type norm for an interior penalty discontinuous Galerkin (dG) spatial discretisation and backward Euler temporal discretisation of linear non-stationary convection-diusion initial/b
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca64819e25dac20acc5880e96d6fbd19
https://doi.org/10.1016/j.camwa.2019.04.002
Zobrazit plný text záznamu
10
Virtual element method for quasilinear elliptic problems
Autor: Ganesh C. Diwan, Andrea Cangiani, Emmanuil H. Georgoulis, Panagiotis Chatzipantelidis
Publikováno v: IMA Journal of Numerical Analysis. 40:2450-2472
A Virtual Element Method (VEM) for the quasilinear equation −div(κ(u)gradu) = f using general polygonal and polyhedral meshes is presented and analysed. The nonlinear coefficient is evaluated with the piecewise polynomial projection of the virtual
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::376e5408e65adc02a37fb3de73f3da0d
https://doi.org/10.1093/imanum/drz035
Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání

Omezení vyhledávání
Plný text Recenzováno Digitální knihovna AV ČR
Zdroje