Analysis of a space–time continuous Galerkin method for convection-dominated Sobolev equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.01.023 ◽

2017 ◽

Vol 73 (8) ◽

pp. 1643-1656 ◽

Author(s):

Zhihui Zhao ◽

Hong Li ◽

Zhendong Luo

Keyword(s):

Galerkin Method ◽

Sobolev Equations ◽

Continuous Galerkin ◽

Convection Dominated

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A space–time discontinuous Galerkin method for linear convection-dominated Sobolev equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.01.020 ◽

2009 ◽

Vol 210 (2) ◽

pp. 490-503 ◽

Author(s):

Tongjun Sun ◽

Keying Ma

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Sobolev Equations ◽

Convection Dominated

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A new space–time continuous Galerkin method with mesh modification for Sobolev equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.03.035 ◽

2016 ◽

Vol 440 (1) ◽

pp. 86-105 ◽

Author(s):

Zhihui Zhao ◽

Hong Li ◽

Zhendong Luo

Keyword(s):

Galerkin Method ◽

Sobolev Equations ◽

Continuous Galerkin ◽

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Convergence of a space-time continuous Galerkin method for the wave equation

Journal of Inequalities and Applications ◽

10.1186/s13660-016-1215-9 ◽

2016 ◽

Vol 2016 (1) ◽

Author(s):

Zhihui Zhao ◽

Hong Li

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Continuous Galerkin

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A Streamline-Upwind-Full-Galerkin method for space-time convection dominated -transport problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620362405 ◽

1993 ◽

Vol 36 (24) ◽

pp. 4165-4183 ◽

Author(s):

P. Perrochet

Keyword(s):

Galerkin Method ◽

Transport Problems ◽

Convection Dominated

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The study of a continuous Galerkin method for Sobolev equation with space-time variable coefficients

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126021 ◽

2021 ◽

Vol 401 ◽

pp. 126021

Author(s):

Zhihui Zhao ◽

Hong Li ◽

Jing Wang

Keyword(s):

Galerkin Method ◽

Variable Coefficients ◽

Time Variable ◽

Sobolev Equation ◽

Continuous Galerkin

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A Space-Time Finite Element Method for the Nonlinear Schrödinger Equation: The Continuous Galerkin Method

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142997330111 ◽

1999 ◽

Vol 36 (6) ◽

pp. 1779-1807 ◽

Author(s):

Ohannes Karakashian ◽

Charalambos Makridakis

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrödinger Equation ◽

Galerkin Method ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Continuous Galerkin ◽

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A Simultaneous-Solution Space-Time Continuous Galerkin Method for Membrane Dynamics

52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference ◽

10.2514/6.2011-1751 ◽

2011 ◽

Author(s):

Donald Kunz ◽

Kyle Kolsti

Keyword(s):

Galerkin Method ◽

Solution Space ◽

Membrane Dynamics ◽

Simultaneous Solution ◽

Continuous Galerkin

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Variational space–time (dis)continuous Galerkin method for nonlinear free surface water waves

Journal of Computational Physics ◽

10.1016/j.jcp.2014.06.035 ◽

2014 ◽

Vol 275 ◽

pp. 459-483 ◽

Author(s):

E. Gagarina ◽

V.R. Ambati ◽

J.J.W. van der Vegt ◽

O. Bokhove

Keyword(s):

Free Surface ◽

Surface Water ◽

Galerkin Method ◽

Water Waves ◽

Continuous Galerkin ◽

Surface Water Waves ◽

Nonlinear Free Surface

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A space-time continuous Galerkin method with mesh modification for viscoelastic wave equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22138 ◽

2017 ◽

Vol 33 (4) ◽

pp. 1183-1207 ◽

Author(s):

Zhihui Zhao ◽

Hong Li ◽

Zhendong Luo

Keyword(s):

Galerkin Method ◽

Wave Equations ◽

Viscoelastic Wave ◽

Continuous Galerkin

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A space-time spectral method for multi-dimensional Sobolev equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.124937 ◽

2021 ◽

Vol 499 (1) ◽

pp. 124937

Author(s):

Siqin Tang ◽

Hong Li ◽

Baoli Yin

Keyword(s):

Spectral Method ◽

Sobolev Equations ◽

Time Spectral Method

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