Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Alison Ramage"'
Publikováno v:
Computational Optimization and Applications. 78:353-375
Considering saddle-point systems of the Karush–Kuhn–Tucker (KKT) form, we propose approximations of the “ideal” block diagonal preconditioner based on the exact Schur complement proposed by Murphy et al. (SIAM J Sci Comput 21(6):1969–1972,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::941ba7f85e7155e6b8530b3103151f11
https://doi.org/10.1007/s10589-020-00246-3
https://doi.org/10.1007/s10589-020-00246-3
Publikováno v:
Journal of Computational Physics: X, Vol 8, Iss, Pp 100065-(2020)
The properties of liquid crystals can be modelled using an order parameter which describes the variability of the local orientation of rod-like molecules. Defects in the director field can arise due to external factors such as applied electric or mag
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a744f2b68197f7cd1a5ab80ca870e9cd
https://strathprints.strath.ac.uk/72987/1/MacDonald_etal_JCPX_2020_A_moving_mesh_method_for_modelling_defects_in_nematic_liquid_crystals.pdf
https://strathprints.strath.ac.uk/72987/1/MacDonald_etal_JCPX_2020_A_moving_mesh_method_for_modelling_defects_in_nematic_liquid_crystals.pdf
Publikováno v:
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing, 2016, 38 (5), pp.A2934-A2963. ⟨10.1137/15M1041407⟩
SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2016, 38 (5), pp.A2934-A2963. ⟨10.1137/15M1041407⟩
SIAM Journal on Scientific Computing, 2016, 38 (5), pp.A2934-A2963. ⟨10.1137/15M1041407⟩
SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2016, 38 (5), pp.A2934-A2963. ⟨10.1137/15M1041407⟩
[Departement_IRSTEA]Eaux [TR1_IRSTEA]GEUSI; International audience; Use of data assimilation techniques is becoming increasingly common across many application areas. The inverse Hessian (and its square root) plays an important role in several differ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9070abd90ae76d3dfe4a14c39e827de9
https://doi.org/10.1137/15m1041407
https://doi.org/10.1137/15m1041407
Autor:
Alison Ramage, André M. Sonnet
Publikováno v:
BIT Numerical Mathematics. 56:573-586
Due to recent advances in fast iterative solvers in the field of computational fluid dynamics, more complex problems which were previously beyond the scope of standard techniques can be tackled. In this paper, we describe one such situation, namely,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::023a39f79057a1c4e63a034c8be47686
https://doi.org/10.1007/s10543-015-0586-5
https://doi.org/10.1007/s10543-015-0586-5
Publikováno v:
Journal of Scientific Computing. 67:1089-1109
Meshfree radial basis function (RBF) methods are of interest for solving partial differential equations due to attractive convergence properties, flexibility with respect to geometry, and ease of implementation. For global RBF methods, the computatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a86e88271998ec012d7ca90a23be6e40
https://doi.org/10.1007/s10915-015-0120-6
https://doi.org/10.1007/s10915-015-0120-6
Publikováno v:
SIAM Journal on Scientific Computing. 37:B215-B238
This paper describes a robust and efficient numerical scheme for solving the system of six coupled partial differential equations which arises when using Q-tensor theory to model the behaviour of a nematic liquid crystal cell under the influence of a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b258b5cbc9f5854c08c7f61e82fd431
https://doi.org/10.1137/130923683
https://doi.org/10.1137/130923683
Autor:
Alison Ramage, Eugene C. Gartland
Publikováno v:
SIAM Journal on Scientific Computing. 35:B226-B247
We present a preconditioned nullspace method for the numerical solution of large sparse linear systems that arise from discretizations of continuum models for the orientational properties of liquid crystals. The approach effectively deals with pointw
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f24ae6b28975c12ad40d6352b3aacafb
https://doi.org/10.1137/120870219
https://doi.org/10.1137/120870219
Publikováno v:
Computers & Mathematics with Applications. 64:3627-3640
This paper illustrates the use of an adaptive finite element method to solve a non-linear singularly perturbed boundary value problem which arises from a one-dimensional Q-tensor model of liquid crystals. The adaptive non-uniform mesh is generated by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c6054560727fc69c8b92c0694101056
https://doi.org/10.1016/j.camwa.2012.10.003
https://doi.org/10.1016/j.camwa.2012.10.003
Autor:
Lina von Sydow, Alison Ramage
Publikováno v:
BIT Numerical Mathematics. 51:217-233
This paper is concerned with the efficient solution of the linear systems of equations that arise from an adaptive space-implicit time discretisation of the Black-Scholes equation. These nonsymmetric systems are very large and sparse, so an iterative
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::979542a869476b2228cfb0ccb3c30b48
https://doi.org/10.1007/s10543-011-0316-6
https://doi.org/10.1007/s10543-011-0316-6
Autor:
Christopher Newton, Alison Ramage
Publikováno v:
Molecular Crystals and Liquid Crystals. 480:160-181
This article illustrates the use of moving mesh methods for solving partial differential equation (PDE) problems in Q-tensor theory of liquid crystals. We present the results of an initial study using a simple one-dimensional test problem which illus
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4dcdd7bb7f3495f3b9fe5bc95a25217c
https://doi.org/10.1080/15421400701826225
https://doi.org/10.1080/15421400701826225