Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Tyrone Rees"'
Autor:
Michael Wathen, Tyrone Rees
Publikováno v:
SIAM Journal on Scientific Computing. 43:S884-S907
We introduce a new and generic approximation to Schur complements arising from inf-sup stable mixed finite element discretizations of self-adjoint multiphysics problems. The approximation exploits ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::291da0271f487b85955c0ec991ab6597
https://doi.org/10.1137/20m1336461
https://doi.org/10.1137/20m1336461
Publikováno v:
Computational Optimization and Applications. 73:1-35
Given a twice-continuously differentiable vector-valued function r(x), a local minimizer of $$\Vert r(x)\Vert _2$$ is sought. We propose and analyse tensor-Newton methods, in which r(x) is replaced locally by its second-order Taylor approximation. Co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a80e6707236fc7846b3b9b4c7b2c46c9
https://doi.org/10.1007/s10589-019-00064-2
https://doi.org/10.1007/s10589-019-00064-2
Randomized methods are becoming increasingly popular in numerical linear algebra. However, few attempts have been made to use them in developing preconditioners. Our interest lies in solving large-scale sparse symmetric positive definite linear syste
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3a1b7b32027b8fc427101aff2cb966a
http://arxiv.org/abs/2101.12164
http://arxiv.org/abs/2101.12164
Autor:
Andrew J. Wathen, Tyrone Rees
Solving problems regarding the optimal control of partial differential equations (PDEs)—also known as PDE-constrained optimization—is a frontier area of numerical analysis. Of particular interest is the problem of flow control, where one would li
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11b239e90198b68fb711f0440154da27
https://ora.ox.ac.uk/objects/uuid:3c29d4b6-ff97-4c1f-a843-a614179108e5
https://ora.ox.ac.uk/objects/uuid:3c29d4b6-ff97-4c1f-a843-a614179108e5
Autor:
Patrick Odagiu, Tim Snow, Federico Montesino, Michael Wathen, Anders J. Markvardsen, Andrew Lister, Anthony Lim, Atijit Anuchitanukul, Tyrone Rees, Andrew R. McCluskey, Thomas O. Farmer
Publikováno v:
Journal of Open Source Software. 6:3127
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33335e997b24223716a59a8955ddf9b7
https://doi.org/10.21105/joss.03127
https://doi.org/10.21105/joss.03127
Publikováno v:
SeMA Journal. 74:213-231
We propose a variant of GMRES, where multiple (two or more) preconditioners are applied simultaneously, while maintaining minimal residual optimality properties. To accomplish this, a block version of Flexible GMRES is used, but instead of considerin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4a45a19eccf6971af0df12608c610fd6
https://doi.org/10.1007/s40324-016-0088-7
https://doi.org/10.1007/s40324-016-0088-7
Publikováno v:
Communications in Computational Physics. 19:143-167
In this paper we consider PDE-constrained optimization problems which incorporate anH1regularization control term. We focus on a time-dependent PDE, and consider both distributed and boundary control. The problems we consider include bound constraint
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0a88aa94323acda6edac3545f7b1793b
https://doi.org/10.4208/cicp.190914.080415a
https://doi.org/10.4208/cicp.190914.080415a
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 35:1329-1343
Projected Krylov methods are full-space formulations of Krylov methods that take place in a nullspace. Provided projections into the nullspace can be computed accurately, those methods only require products between an operator and vectors lying in th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a0932a714e3356895d6b2e942c1bd09
https://doi.org/10.1137/130916394
https://doi.org/10.1137/130916394
Autor:
Tyrone Rees, Jennifer Pestana
The null-space method is a technique that has been used for many years to reduce a saddle point system to a smaller, easier to solve, symmetric positive-definite system. This method can be understood as a block factorization of the system. Here we ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f80fdf6c78a4e4921712b22a4580031
https://strathprints.strath.ac.uk/56709/7/Pestana_Rees_SJMAA2016_Null_space_preconditioners_for_saddle_point_systems.pdf
https://strathprints.strath.ac.uk/56709/7/Pestana_Rees_SJMAA2016_Null_space_preconditioners_for_saddle_point_systems.pdf
Optimization problems with constraints which require the solution of a partial differential equation arise widely in many areas of the sciences and engineering, particularly in problems of design. The solution of such PDE-constrained optimization pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::064240bb2e76d27ade8c06896ced2c63
https://ora.ox.ac.uk/objects/uuid:3a772dfd-c1f4-4052-acd0-77b25f94b0e3
https://ora.ox.ac.uk/objects/uuid:3a772dfd-c1f4-4052-acd0-77b25f94b0e3