Error estimates for Galerkin methods for quasilinear parabolic and elliptic differential equations in divergence form

1977 ◽  
Vol 28 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Owe Axelsson
Keyword(s):  
Differential Equations ◽  
Error Estimates ◽  
Divergence Form ◽  
Galerkin Methods ◽  
Elliptic Differential Equations ◽  
Quasilinear Parabolic

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.

Error Estimates of Homogenization Theory

2012 ◽  
Vol 13 (3-4) ◽  
Author(s):  
Wei-Dong Song ◽  
Jian-Guo Ning ◽  
Jing Wang ◽  
Jian-Qiao Li
Keyword(s):  
Asymptotic Expansion ◽  
Differential Equations ◽  
Small Parameter ◽  
Error Estimates ◽  
Homogenization Theory ◽  
Basic Assumptions ◽  
Elliptic Differential Equations

AbstractBasic assumptions are introduced into a homogenization theory which is described in the form of elliptic differential equations with a small parameter. Homogenization operators are used to solve the equations by asymptotic expansion methods, and error estimates of homogenization solutions are given.

Galerkin methods and L2-error estimates for hyperbolic integro-differential equations

CALCOLO ◽  
1989 ◽  
Vol 26 (2-4) ◽  
pp. 197-207 ◽  
Author(s):  
J. R. Cannon ◽  
Yanping Lin ◽  
Chong-Yuan Xie
Keyword(s):  
Differential Equations ◽  
Error Estimates ◽  
Galerkin Methods
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