Unconditional stability and optimal error estimates of a Crank-Nicolson Legendre-Galerkin method for the two-dimensional second-order wave equation

2021 ◽  
Author(s):  
Wenjie Liu ◽  
Boying Wu
Keyword(s):  
Wave Equation ◽  
Galerkin Method ◽  
Error Estimates ◽  
Unconditional Stability ◽  
Second Order ◽  
Optimal Error Estimates ◽  
Two Dimensional ◽  
Optimal Error ◽  
Second Order Wave Equation ◽  
Legendre Galerkin Method

scholarly journals AnH1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form

1987 ◽  
Vol 10 (2) ◽  
pp. 345-360 ◽  
Author(s):  
A. K. Pani ◽  
P. C. Das
Keyword(s):  
Parabolic Equation ◽  
Galerkin Method ◽  
Error Estimates ◽  
Stefan Problem ◽  
Single Phase ◽  
Quasilinear Parabolic Equation ◽  
Divergence Form ◽  
Optimal Error Estimates ◽  
Optimal Error ◽  
Quasilinear Parabolic

Optimal error estimates inL2,H1andH2-norm are established for a single phase Stefan problem with quasilinear parabolic equation in non-divergence form by anH1-Galerkin procedure.

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