Výsledky vyhledávání - "John R. Singler"

A new global divergence free and pressure-robust HDG method for tangential boundary control of Stokes equations

Autor: Gang Chen, Wei Gong, Mariano Mateos, John R. Singler, Yangwen Zhang

Publikováno v: Computer Methods in Applied Mechanics and Engineering. 405:115837

In [ESAIM: M2AN, 54(2020), 2229-2264], we proposed an HDG method to approximate the solution of a tangential boundary control problem for the Stokes equations and obtained an optimal convergence rate for the optimal control {that reflects its global

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b9b062ea4672e8be7f43721c630c5aa
https://doi.org/10.1016/j.cma.2022.115837

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A note on incremental POD algorithms for continuous time data

Autor: Hiba Fareed, John R. Singler

Publikováno v: Applied Numerical Mathematics. 144:223-233

In our earlier work [Fareed et al., Comput. Math. Appl. 75 (2018), no. 6, 1942-1960], we developed an incremental approach to compute the proper orthogonal decomposition (POD) of PDE simulation data. Specifically, we developed an incremental algorith

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43f6d3fdc9105ad89aedb44113e0fa27
https://doi.org/10.1016/j.apnum.2019.04.020

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A Class of Embedded DG Methods for Dirichlet Boundary Control of Convection Diffusion PDEs

Autor: Gang Chen, Guosheng Fu, Yangwen Zhang, John R. Singler

Publikováno v: Journal of Scientific Computing. 81:623-648

We investigated an hybridizable discontinuous Galerkin (HDG) method for a convection diffusion Dirichlet boundary control problem in our earlier work [SIAM J. Numer. Anal. 56 (2018) 2262-2287] and obtained an optimal convergence rate for the control

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a0e90cefc03a6f5bd9e80a24f3207f51
https://doi.org/10.1007/s10915-019-01043-9

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Interpolatory HDG Method for Parabolic Semilinear PDEs

Autor: John R. Singler, Bernardo Cockburn, Yangwen Zhang

Publikováno v: Journal of Scientific Computing. 79:1777-1800

We propose the interpolatory hybridizable discontinuous Galerkin (Interpolatory HDG) method for a class of scalar parabolic semilinear PDEs. The Interpolatory HDG method uses an interpolation procedure to efficiently and accurately approximate the no

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e6a286c74ac0a70c9e836eb206b1bdff
https://doi.org/10.1007/s10915-019-00911-8

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On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition

Autor: Birgul Koc, John R. Singler, Michael Schneier, Traian Iliescu, Samuele Rubino

Publikováno v: SIAM Journal on Numerical Analysis
SIAM Journal on Numerical Analysis, 2021, 59 (4), pp.2163-2196. ⟨10.1137/20m1371798⟩

In this paper, we resolve several long standing issues dealing with optimal pointwise in time error bounds for proper orthogonal decomposition (POD) reduced order modeling of the heat equation. In particular, we study the role played by difference qu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::73df7b87317f180cc6ff2747282573f9
http://arxiv.org/abs/2010.03750

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Superconvergent Interpolatory HDG methods for reaction diffusion equations II: HHO-inspired methods

Autor: Gang Chen, Yangwen Zhang, John R. Singler, Bernardo Cockburn

In Chen et al. (J. Sci. Comput. 81(3): 2188–2212, 2019), we considered a superconvergent hybridizable discontinuous Galerkin (HDG) method, defined on simplicial meshes, for scalar reaction-diffusion equations and showed how to define an interpolato

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f48ce19887ef3ecbbf08d8a9bfd3f45c
http://arxiv.org/abs/2009.00704

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An EDG Method for Distributed Optimal Control of Elliptic PDEs

Autor: Yangwen Zhang, Xiao Zhang, John R. Singler

Publikováno v: Advances in Applied Mathematics and Mechanics. 10:797-818

We consider a distributed optimal control problem governed by an elliptic PDE, and propose an embedded discontinuous Galerkin (EDG) method to approximate the solution. We derive optimal a priori error estimates for the state, dual state, the optimal

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5b98b0e92b3490fad2aa25880eb6348
https://doi.org/10.4208/aamm.oa-2017-0223

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Output Feedback-Based Boundary Control of Uncertain Coupled Semilinear Parabolic PDE Using Neurodynamic Programming

Autor: Behzad Talaei, Sarangapani Jagannathan, John R. Singler

Publikováno v: IEEE Transactions on Neural Networks and Learning Systems. 29:1263-1274

In this paper, neurodynamic programming-based output feedback boundary control of distributed parameter systems governed by uncertain coupled semilinear parabolic partial differential equations (PDEs) under Neumann or Dirichlet boundary control condi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::379cdd8e641a472772e202a8f9277635
https://doi.org/10.1109/tnnls.2017.2669941

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