Error estimates of spectral element methods with generalized Jacobi polynomials on an interval

Applied Mathematics Letters ◽

10.1016/j.aml.2017.03.010 ◽

2017 ◽

Vol 74 ◽

pp. 199-206 ◽

Author(s):

Jianwei Zhou ◽

Juan Zhang ◽

Huantian Xie ◽

Yin Yang

Keyword(s):

Error Estimates ◽

Jacobi Polynomials ◽

Spectral Element ◽

Spectral Element Methods ◽

Generalized Jacobi Polynomials

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Spectral Element Methods a Priori and a Posteriori Error Estimates for Penalized Unilateral Obstacle Problem

Journal of Scientific Computing ◽

10.1007/s10915-020-01355-1 ◽

2020 ◽

Vol 85 (3) ◽

Author(s):

Bochra Djeridi ◽

Radouen Ghanem ◽

Hocine Sissaoui

Keyword(s):

Error Estimates ◽

Obstacle Problem ◽

A Priori ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Spectral Element ◽

A Posteriori ◽

Spectral Element Methods ◽

A Posteriori Error

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h-p spectral element methods for three dimensional elliptic problems on non-smooth domains, Part-III: Error estimates, preconditioners, computational techniques and numerical results

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.12.046 ◽

2016 ◽

Vol 71 (9) ◽

pp. 1745-1771 ◽

Author(s):

P. Dutt ◽

A. Husain ◽

A.S. Vasudeva Murthy ◽

C.S. Upadhyay

Keyword(s):

Error Estimates ◽

Three Dimensional ◽

Elliptic Problems ◽

Spectral Element ◽

Numerical Results ◽

Computational Techniques ◽

Spectral Element Methods

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Mixed Spectral-Element Methods for 3-D Maxwell's Eigenvalue Problems With Bloch Periodic and Open Resonators

IEEE Transactions on Microwave Theory and Techniques ◽

10.1109/tmtt.2021.3049499 ◽

2021 ◽

pp. 1-1

Author(s):

Shi Jie Wang ◽

Jie Liu ◽

Ming Wei Zhuang ◽

Ke Chen ◽

Qing Huo Liu

Keyword(s):

Eigenvalue Problems ◽

Spectral Element ◽

Spectral Element Methods ◽

Open Resonators

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3D quantum transport solver based on the perfectly matched layer and spectral element methods for the simulation of semiconductor nanodevices

Journal of Computational Physics ◽

10.1016/j.jcp.2007.07.028 ◽

2007 ◽

Vol 227 (1) ◽

pp. 455-471 ◽

Author(s):

Candong Cheng ◽

Joon-Ho Lee ◽

Kim Hwa Lim ◽

Hisham Z. Massoud ◽

Qing Huo Liu

Keyword(s):

Quantum Transport ◽

Spectral Element ◽

Perfectly Matched Layer ◽

Spectral Element Methods ◽

Semiconductor Nanodevices

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Development of a Novel Accelerator for Neutron Transport Solution Using the Galerkin Spectral Element Methods (Final Report)

10.2172/1511575 ◽

2019 ◽

Author(s):

Dean Wang ◽

Thomas Downar ◽

Yunlin Xu ◽

Yulong Xing ◽

Emily Shemon

Keyword(s):

Neutron Transport ◽

Spectral Element ◽

Final Report ◽

Spectral Element Methods

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An Assessment of the Efficiency of Nodal Discontinuous Galerkin Spectral Element Methods

Notes on Numerical Fluid Mechanics and Multidisciplinary Design - Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws ◽

10.1007/978-3-642-33221-0_13 ◽

2013 ◽

pp. 223-235 ◽

Author(s):

David A. Kopriva ◽

Edwin Jimenez

Keyword(s):

Discontinuous Galerkin ◽

Spectral Element ◽

Spectral Element Methods

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New space–time spectral and structured spectral element methods for high order problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.08.038 ◽

2019 ◽

Vol 351 ◽

pp. 153-166 ◽

Author(s):

Chao Zhang ◽

Hanfeng Yao ◽

Huiyuan Li

Keyword(s):

Spectral Element ◽

Spectral Element Methods ◽

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Shock Capturing For High-Order Nodal Spectral Element Methods

10.52843/jkkd2x ◽

2021 ◽

Author(s):

Tarik Dzanic

Keyword(s):

Spectral Element ◽

Shock Capturing ◽

Spectral Element Methods

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Multi-element SIAC Filter for Shock Capturing Applied to High-Order Discontinuous Galerkin Spectral Element Methods

Journal of Scientific Computing ◽

10.1007/s10915-019-01036-8 ◽

2019 ◽

Vol 81 (2) ◽

pp. 820-844

Author(s):

Marvin Bohm ◽

Sven Schermeng ◽

Andrew R. Winters ◽

Gregor J. Gassner ◽

Gustaaf B. Jacobs

Keyword(s):

Discontinuous Galerkin ◽

Spectral Element ◽

Shock Capturing ◽

Spectral Element Methods

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Overlapping Schwarz preconditioners for spectral element methods in nonstandard domains and heterogeneous media

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.02.030 ◽

2010 ◽

Vol 234 (5) ◽

pp. 1492-1504 ◽

Author(s):

L. Ghezzi ◽

L.F. Pavarino ◽

E. Zampieri

Keyword(s):

Heterogeneous Media ◽

Spectral Element ◽

Spectral Element Methods ◽

Schwarz Preconditioners ◽

Overlapping Schwarz

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