Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Oliver J. Sutton"'
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
https://doi.org/10.1142/s0218202521500172
Publikováno v:
SIAM Journal on Numerical Analysis
SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2021, 59 (3), pp.1273--1298. ⟨10.1137/20M1364114⟩
SIAM Journal on Numerical Analysis, 2021, 59 (3), pp.1273--1298. ⟨10.1137/20M1364114⟩
SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2021, 59 (3), pp.1273--1298. ⟨10.1137/20M1364114⟩
SIAM Journal on Numerical Analysis, 2021, 59 (3), pp.1273--1298. ⟨10.1137/20M1364114⟩
International audience; We introduce a residual-based a posteriori error estimator for a novel hp-version interior penalty discontinuous Galerkin method for the biharmonic problem in two and three dimensions. We prove that the error estimate provides
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ff6677a2afc0ad0efa80c271382597b
https://doi.org/10.1137/20m1364114
https://doi.org/10.1137/20m1364114
Autor:
Oliver J. Sutton
Publikováno v:
IMA Journal of Numerical Analysis. 40:498-529
Computable estimates for the error of finite element discretisations of parabolic problems in the $L^{\infty }(0,T; L^2(\varOmega ))$ norm are developed, which exhibit constant effectivities (the ratio of the estimated error to the true error) with r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6226bbee96cb30e3846d2524e70f18ff
https://doi.org/10.1093/imanum/dry078
https://doi.org/10.1093/imanum/dry078
Publikováno v:
Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics ISBN: 9781315153452
Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics
Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::da73d6ea614d9b55ea5f72331bd54fe4
https://doi.org/10.1201/9781315153452-15
https://doi.org/10.1201/9781315153452-15
Publikováno v:
Proceedings. Mathematical, physical, and engineering sciences. 474(2213)
Understanding how patterns and travelling waves form in chemical and biological reaction-diffusion models is an area which has been widely researched, yet is still experiencing fast development. Surprisingly enough, we still do not have a clear under
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::90eb2c52a99542d7072552cb83369d46
https://pubmed.ncbi.nlm.nih.gov/29887744
https://pubmed.ncbi.nlm.nih.gov/29887744
Publikováno v:
IMA journal of numerical analysis 37 (2017): 1317–1354. doi:10.1093/imanum/drw036
info:cnr-pdr/source/autori:A. Cangiani, G. Manzini, and O.J. Sutton/titolo:Conforming and nonconforming virtual element methods for elliptic problems/doi:10.1093%2Fimanum%2Fdrw036/rivista:IMA journal of numerical analysis/anno:2017/pagina_da:1317/pagina_a:1354/intervallo_pagine:1317–1354/volume:37
info:cnr-pdr/source/autori:A. Cangiani, G. Manzini, and O.J. Sutton/titolo:Conforming and nonconforming virtual element methods for elliptic problems/doi:10.1093%2Fimanum%2Fdrw036/rivista:IMA journal of numerical analysis/anno:2017/pagina_da:1317/pagina_a:1354/intervallo_pagine:1317–1354/volume:37
We present in a unified framework new conforming and nonconforming Virtual Element Methods (VEM) for general second order elliptic problems in two and three dimensions. The differential operator is split into its symmetric and non-symmetric parts and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e11b19b15aa9606cfcbd9ffdaed65ebb
https://publications.cnr.it/doc/371023
https://publications.cnr.it/doc/371023
Publikováno v:
Numerische Mathematik
An posteriori error analysis for the virtual element method (VEM) applied to general elliptic problems is presented. The resulting error estimator is of residual-type and applies on very general polygonal/polyhedral meshes. The estimator is fully com
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7e07d570a3a707ec145b0c5192c0ab2
https://pubmed.ncbi.nlm.nih.gov/29151622
https://pubmed.ncbi.nlm.nih.gov/29151622
This document presents the results of a set of preliminary numerical experiments using several possible conforming virtual element approximations of the convection-reaction-diffusion equation with variable coefficients.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::94834f9f153d2599191a10f4bd469b6b
https://doi.org/10.2172/1159206
https://doi.org/10.2172/1159206