Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Roger C. E. Tan"'
Publikováno v:
Journal of Computational and Applied Mathematics. 358:241-265
In this paper we propose and study a new Lagrange finite element method for the two-dimensional Maxwell’s equations. Its solution may be singular because of the nonsmooth domain with reentrant corners. The proposed method allows the standard Lagran
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f0ff021ee16f931c704dc337f59a999a
https://doi.org/10.1016/j.cam.2019.03.022
https://doi.org/10.1016/j.cam.2019.03.022
Publikováno v:
Journal of Computational and Applied Mathematics. 402:113787
A coercive mixed variational formulation on H 0 ( curl ; Ω ) × H ( div ; Ω ) is proposed for the generalized Maxwell problem which typically arises from computational electromagnetism. The mixed variables are the electric field and a pseudo electr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa67623c1e505454583894f7e96ca543
https://doi.org/10.1016/j.cam.2021.113787
https://doi.org/10.1016/j.cam.2021.113787
Publikováno v:
SIAM Journal on Scientific Computing. 40:A224-A250
In this paper, we propose and analyze a mixed $H^1$-conforming finite element method for solving Maxwell's equations in terms of electric field and Lagrange multiplier, where the multiplier is intr...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2025224d1c858dacfd0ef797940937a1
https://doi.org/10.1137/16m1078082
https://doi.org/10.1137/16m1078082
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 38:1190-1209
In this paper, we consider the eigenvalue embedding problem of the undamped vibroacoustic system with no-spillover (EEP-UVA), which is to update the original system to a new undamped vibroacoustic system, such that some eigen-structures are replaced
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0525e96db61e38a6e578b69c2752da3d
https://doi.org/10.1137/16m1100411
https://doi.org/10.1137/16m1100411
Publikováno v:
IEEE Transactions on Neural Networks and Learning Systems. 27:1469-1485
Linear discriminant analysis (LDA) as a well-known supervised dimensionality reduction method has been widely applied in many fields. However, the lack of sparsity in the LDA solution makes interpretation of the results challenging. In this paper, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a0000ec17895860b49d9d82d977beb37
https://doi.org/10.1109/tnnls.2015.2448637
https://doi.org/10.1109/tnnls.2015.2448637
Publikováno v:
SIAM Journal on Numerical Analysis. 54:1193-1228
In this paper we propose and study a finite element method for a curlcurl-graddiv eigenvalue interface problem. Its solution may be of piecewise non-$H^1$. We would like to approximate such a solution in an $H^1$-conforming finite element space. With
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b0d7524bec8644aea42a703d6a87e04
https://doi.org/10.1137/140980004
https://doi.org/10.1137/140980004
Publikováno v:
SIAM Journal on Scientific Computing. 38:B414-B439
Over the past few decades, much attention has been drawn to large-scale incremental data analysis, where researchers are faced with huge amounts of high-dimensional data acquired incrementally. In such a case, conventional algorithms that compute the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ab61d71b49d93cd12672be675d74abc
https://doi.org/10.1137/15m1035653
https://doi.org/10.1137/15m1035653
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 37:1581-1599
In this paper we study the existence of analytic eigenvalue functions of an analytic matrix-valued function $L(\lambda,\rho)$. Instead of proposing sufficient conditions for each individual case as in the literature, we propose a systematic scheme to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3de39d9cdef71b033e507ddf95482342
https://doi.org/10.1137/15m1053050
https://doi.org/10.1137/15m1053050
Publikováno v:
Journal of Scientific Computing. 67:669-704
This paper develops an adaptive edge finite element method for a Maxwell interface problem: $$ {\mathbf{curl}}\mu ^{-1} {\mathbf{curl}}u_\delta +\delta \varepsilon u_\delta =f, $$curlμ-1curlu?+??u?=f, where $$\delta >0$$?>0 is allowed to degenerate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bcca7b8a6354e2e4f85a2cfb20c50cd5
https://doi.org/10.1007/s10915-015-0098-0
https://doi.org/10.1007/s10915-015-0098-0
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 36:1542-1566
In this paper, we study the analyticity of the semisimple eigenvalue and the corresponding eigenvector functions of general analytic matrix-valued functions which are very important in many engineering applications such as the optimum design of dynam
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::782d193fd76cc5287cb3e9c697ef3757
https://doi.org/10.1137/151003799
https://doi.org/10.1137/151003799