Research graph
References from Superconvergence error analysis of an energy-stable Galerkin finite element method for the two-dimensional sine-Gordon equation based on scalar auxiliary variable approach. Local targets link to admitted publications; unresolved targets remain external evidence.
Supercurrents through barries
10.1080/00018736500101091 · 1965 · External reference
Parametrically forced sine-Gordon equationand domain wall dynamics in ferromagnets
10.1103/physrevb.57.5033 · 1998 · External reference
Ultrashort light bullets described by the two dimensional sine-Gordon equation
10.1103/physreva.81.063815 · 2010 · External reference
Two energy conserving numerical schemes for the sine-Gordon equation
1991 · External reference
Finite difference calculus invariant structure of a class of algorithms for the nonlinear klein-Gordon equation
10.1137/0732083 · 1995 · External reference
Energy-preserving finite element methods for a class of nonlinear wave equations
10.1016/j.apnum.2020.06.016 · 2020 · External reference
A linearly implicit and local energy-preserving scheme for the sine-Gordon equation based on the invariant energy quadratization approach
10.1007/s10915-019-01001-5 · 2019 · External reference
An energy-conserving second order numerical scheme for nonlinear hyperbolic equation with an exponential nonlinear term
10.1016/j.cam.2014.11.043 · 2015 · External reference
The energy-preserving finite difference methods and their analyses for system of nonlinear wave equations in two dimensions
10.1016/j.apnum.2019.12.024 · 2020 · External reference
Numerical solution of the sine-Gordon equation
1986 · External reference
Two classes of finite-difference methods for generalized sine-Gordon equations
10.1016/0377-0427(90)90039-3 · 1990 · External reference
A second-order accurate and unconditionally energy stable numerical scheme for nonlinear sine-Gordon equation
10.1016/j.jmaa.2024.128288 · 2024 · External reference
Finite element approximation to two-dimensional sine-Gordon solitons
10.1016/0045-7825(91)90136-t · 1991 · External reference
The solution of the two-dimensional sine-Gordon equation using the method of lines
10.1016/j.cam.2006.07.002 · 2007 · External reference
A modified predictor-corrector scheme for the two-dimensional sine-Gordon equation
10.1007/s11075-006-9061-3 · 2006 · External reference
Convergence of the interpolated coefficient finite element method for the two-dimensional elliptic sine-Gordon equations
10.1002/num.20526 · 2011 · External reference
Nonconforming quadrilateral finite element method for a class of nonlinear sine-Gordon equations
2013 · External reference
Approximation of nonconformingquasi-Wilson element for sine-Gordon equations
10.4208/jcm.1212-m3897 · 2013 · External reference
High accuracy analysis of the lowest order H1-Galerkin mixed finite element method for nonlinear sine-Gordon equations
10.1007/s10255-017-0692-z · 2017 · External reference
Numerical solutions of a damped sine-Gordon equation in two space variables
10.1007/bf00042761 · 1995 · External reference
Optimal energy-conserving local discontinuous Galerkin method for the onedimensional sine-Gordon equation
10.1080/00207160.2015.1105364 · 2017 · External reference
Optimal error estimates of the local discontinuous Galerkin methods for the two-dimensional sine-Gordon equation on cartesinan grids
2019 · External reference
An energy conserving local discontinuous Galerkin method for a nonlinear variational wave equation
10.4208/cicp.oa-2016-0189 · 2018 · External reference
Numerical solution of two-dimensional nonlinear sine-Gordon equation using localized method of approximate particular solutions
10.1016/j.enganabound.2019.08.018 · 2019 · External reference
The scalar auxiliary variable (SAV) approach for gradient flows
10.1016/j.jcp.2017.10.021 · 2018 · External reference
A new class of efficient and robust energy stable schemes for gradient flows
10.1137/17m1150153 · 2019 · External reference
Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
10.1016/j.jcp.2016.09.029 · 2016 · External reference
Linear and unconditionally energy stable schemes for the binary fluid-surfactant phasefield model
10.1016/j.cma.2017.02.011 · 2017 · External reference
Error analysis of the SAV-MAC scheme for the navier-Stokes equations
10.1137/19m1288267 · 2020 · External reference
Numerical approximation of incompressible navier-Stokes equations based on an auxiliary energy variable
10.1016/j.jcp.2019.03.012 · 2019 · External reference
Stability and error analysis of IMEX SAV schemes for the magnetohydrodynamic equations
10.1137/21m1430376 · 2022 · External reference
Decoupled and linearized scalar auxiliary variable finite element method for the time-dependent incompressible magnetohydrodynamic equations: unconditional stability and convergence analysis
10.1002/num.22851 · 2022 · External reference
Novel pressure-correction schemes based on scalar auxiliary variable method for the MHD equations
2023 · External reference
Scalar auxiliary variable/lagrange multiplier based pseudospectral schemes forthe dynamics of nonlinear schrödinger/gross-Pitaevskii equations
10.1016/j.jcp.2021.110328 · 2021 · External reference
Structure-preserving algorithms for the two-dimensional sine-Gordon equation with neumann boundary conditions
10.1016/j.jcp.2019.05.048 · 2019 · External reference
Unresolved reference
2003 · External reference
Unresolved reference
2006 · External reference
The Mathematical Theory of Finite Element Methods
10.1007/978-1-4757-3658-8 · 2002 · External reference
Finite Element Mthods: Accuracy and Improvement
2006 · External reference
Numerical study of 2+1 dimensional sine-Gordon soltions
10.1016/0167-2789(81)90023-3 · 1981 · External reference
Study of the two-dimensional sine-Gordon equation arsing in josephson junctions using meshless finite point method
10.1002/jnm.2210 · 2017 · External reference
Numerical simulation of two-dimensional sine-Gordon soltions via a split cosine scheme
10.1016/j.matcom.2005.02.017 · 2005 · External reference
A predictor-correct scheme for the sine-Gordon equation
10.1002/(sici)1098-2426(200003)16:2<133::aid-num1>3.0.co;2-p · 2000 · External reference
A predictor-correct scheme for the sine-Gordon equation
10.1002/(sici)1098-2426(200003)16:2<133::aid-num1>3.0.co;2-p · ExternalCitation · doi-reference
Study of the two-dimensional sine-Gordon equation arsing in josephson junctions using meshless finite point method
10.1002/jnm.2210 · ExternalCitation · doi-reference
Convergence of the interpolated coefficient finite element method for the two-dimensional elliptic sine-Gordon equations
10.1002/num.20526 · ExternalCitation · doi-reference
Decoupled and linearized scalar auxiliary variable finite element method for the time-dependent incompressible magnetohydrodynamic equations: unconditional stability and convergence analysis
10.1002/num.22851 · ExternalCitation · doi-reference
The Mathematical Theory of Finite Element Methods
10.1007/978-1-4757-3658-8 · ExternalCitation · doi-reference
Numerical solutions of a damped sine-Gordon equation in two space variables
10.1007/bf00042761 · ExternalCitation · doi-reference
High accuracy analysis of the lowest order H1-Galerkin mixed finite element method for nonlinear sine-Gordon equations
10.1007/s10255-017-0692-z · ExternalCitation · doi-reference
A linearly implicit and local energy-preserving scheme for the sine-Gordon equation based on the invariant energy quadratization approach
10.1007/s10915-019-01001-5 · ExternalCitation · doi-reference
A modified predictor-corrector scheme for the two-dimensional sine-Gordon equation
10.1007/s11075-006-9061-3 · ExternalCitation · doi-reference
Finite element approximation to two-dimensional sine-Gordon solitons
10.1016/0045-7825(91)90136-t · ExternalCitation · doi-reference
Numerical study of 2+1 dimensional sine-Gordon soltions
10.1016/0167-2789(81)90023-3 · ExternalCitation · doi-reference
Two classes of finite-difference methods for generalized sine-Gordon equations
10.1016/0377-0427(90)90039-3 · ExternalCitation · doi-reference
The energy-preserving finite difference methods and their analyses for system of nonlinear wave equations in two dimensions
10.1016/j.apnum.2019.12.024 · ExternalCitation · doi-reference
Energy-preserving finite element methods for a class of nonlinear wave equations
10.1016/j.apnum.2020.06.016 · ExternalCitation · doi-reference
The solution of the two-dimensional sine-Gordon equation using the method of lines
10.1016/j.cam.2006.07.002 · ExternalCitation · doi-reference
An energy-conserving second order numerical scheme for nonlinear hyperbolic equation with an exponential nonlinear term
10.1016/j.cam.2014.11.043 · ExternalCitation · doi-reference
Linear and unconditionally energy stable schemes for the binary fluid-surfactant phasefield model
10.1016/j.cma.2017.02.011 · ExternalCitation · doi-reference
Numerical solution of two-dimensional nonlinear sine-Gordon equation using localized method of approximate particular solutions
10.1016/j.enganabound.2019.08.018 · ExternalCitation · doi-reference
Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
10.1016/j.jcp.2016.09.029 · ExternalCitation · doi-reference
The scalar auxiliary variable (SAV) approach for gradient flows
10.1016/j.jcp.2017.10.021 · ExternalCitation · doi-reference
Numerical approximation of incompressible navier-Stokes equations based on an auxiliary energy variable
10.1016/j.jcp.2019.03.012 · ExternalCitation · doi-reference
Structure-preserving algorithms for the two-dimensional sine-Gordon equation with neumann boundary conditions
10.1016/j.jcp.2019.05.048 · ExternalCitation · doi-reference
Scalar auxiliary variable/lagrange multiplier based pseudospectral schemes forthe dynamics of nonlinear schrödinger/gross-Pitaevskii equations
10.1016/j.jcp.2021.110328 · ExternalCitation · doi-reference
A second-order accurate and unconditionally energy stable numerical scheme for nonlinear sine-Gordon equation
10.1016/j.jmaa.2024.128288 · ExternalCitation · doi-reference
Numerical simulation of two-dimensional sine-Gordon soltions via a split cosine scheme
10.1016/j.matcom.2005.02.017 · ExternalCitation · doi-reference
Supercurrents through barries
10.1080/00018736500101091 · ExternalCitation · doi-reference
Optimal energy-conserving local discontinuous Galerkin method for the onedimensional sine-Gordon equation
10.1080/00207160.2015.1105364 · ExternalCitation · doi-reference
Ultrashort light bullets described by the two dimensional sine-Gordon equation
10.1103/physreva.81.063815 · ExternalCitation · doi-reference
Parametrically forced sine-Gordon equationand domain wall dynamics in ferromagnets
10.1103/physrevb.57.5033 · ExternalCitation · doi-reference
Finite difference calculus invariant structure of a class of algorithms for the nonlinear klein-Gordon equation
10.1137/0732083 · ExternalCitation · doi-reference
A new class of efficient and robust energy stable schemes for gradient flows
10.1137/17m1150153 · ExternalCitation · doi-reference
Error analysis of the SAV-MAC scheme for the navier-Stokes equations
10.1137/19m1288267 · ExternalCitation · doi-reference
Stability and error analysis of IMEX SAV schemes for the magnetohydrodynamic equations
10.1137/21m1430376 · ExternalCitation · doi-reference
An energy conserving local discontinuous Galerkin method for a nonlinear variational wave equation
10.4208/cicp.oa-2016-0189 · ExternalCitation · doi-reference
Approximation of nonconformingquasi-Wilson element for sine-Gordon equations
10.4208/jcm.1212-m3897 · ExternalCitation · doi-reference
