Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Pravir Dutt"'
Publikováno v:
International Journal for Computational Methods in Engineering Science and Mechanics. 20:358-371
We study a space-time coupled least-squares spectral element method for parabolic initial boundary value problems using parallel computers. The method is spectrally accurate in both space a...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d35dca2f55d26232c06c8739671aef74
https://doi.org/10.1080/15502287.2019.1600073
https://doi.org/10.1080/15502287.2019.1600073
Publikováno v:
Journal of Fluid Mechanics. 916
We investigate two-dimensional shallow granular flows on a rotating and gravitating elliptical body. This is motivated by regolith flow on small planetary bodies – also called minor planets – which is influenced by the rotation of the body, as we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c127fd16b68d47cbc6255c87fe6d69e
https://doi.org/10.1017/jfm.2021.248
https://doi.org/10.1017/jfm.2021.248
Publikováno v:
Journal of Scientific Computing. 73:876-905
In this paper, a least-squares spectral element method for parabolic initial value problem for two space dimension on parallel computers is presented. The theory is also valid for three dimension. This method gives exponential accuracy in both space
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8fd1900fdfe9a76cf453017b6332d1ed
https://doi.org/10.1007/s10915-017-0457-0
https://doi.org/10.1007/s10915-017-0457-0
Publikováno v:
Journal of Computational and Applied Mathematics. 372:112696
In this paper we present a discontinuous least-squares spectral element method for Stokes equations with primitive variable formulation on both smooth and non-smooth domains. We propose an exponentially accurate numerical scheme based on the stabilit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::894fe186fc5ba15afa11adcaaf6c4159
https://doi.org/10.1016/j.cam.2019.112696
https://doi.org/10.1016/j.cam.2019.112696
Publikováno v:
Proceedings - Mathematical Sciences. 125:413-447
This is the second of a series of papers devoted to the study of h-p spectral element methods for three dimensional elliptic problems on non-smooth domains. The present paper addresses the proof of the main stability theorem. We assume that the diffe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e693293469b7201d6c763890d2e9b3fa
https://doi.org/10.1007/s12044-015-0239-2
https://doi.org/10.1007/s12044-015-0239-2
Publikováno v:
Computers & Mathematics with Applications. 70:47-65
Several methods have been proposed in the literature for solving the Black-Scholes equation for European Options. The method proposed in the current study achieves spectral accuracy in both space and time. The method is based on minimization of a fun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::554dde2b2bf2bd91b16b94d4198a9950
https://doi.org/10.1016/j.camwa.2015.04.019
https://doi.org/10.1016/j.camwa.2015.04.019
Autor:
Subir Singh Lamba, Pravir Dutt
Publikováno v:
Proceedings - Mathematical Sciences. 119:231-249
In this paper a method is developed for solving hyperbolic initial boundary value problems in one space dimension using domain decomposition, which can be extended to problems in several space dimensions. We minimize a functional which is the sum of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::80d6015b3067300e5de1020d8a10ef25
https://doi.org/10.1007/s12044-009-0023-2
https://doi.org/10.1007/s12044-009-0023-2
Publikováno v:
Journal of Computational and Applied Mathematics. 215:152-166
In this paper we propose preconditioners for spectral element methods for elliptic and parabolic problems. These preconditioners are constructed using separation of variables and are easy to invert. Moreover they are spectrally equivalent to the quad
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::722f9896936930a02a6a4283542ccbe6
https://doi.org/10.1016/j.cam.2007.03.030
https://doi.org/10.1016/j.cam.2007.03.030
Publikováno v:
Journal of Computational and Applied Mathematics. 203(2):461-486
A spectral element method for solving parabolic initial boundary value problems on smooth domains using parallel computers is presented in this paper. The space domain is divided into a number of shape regular quadrilaterals of size h and the time st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::925fe33414ba5111d4f12c6976c0b203
Publikováno v:
Proceedings Mathematical Sciences. 117:109-145
In this paper we show that we can use a modified version of the h-p spectral element method proposed in [6,7,13,14] to solve elliptic problems with general boundary conditions to exponential accuracy on polygonal domains using nonconforming spectral
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0484ebe13f2ddab728e828cc42ff7427
https://doi.org/10.1007/s12044-007-0009-x
https://doi.org/10.1007/s12044-007-0009-x