An Optimal-Order Error Estimate to ELLAM Schemes for Transient Advection-Diffusion Equations on Unstructured Meshes

2010 ◽  
Vol 48 (2) ◽  
pp. 681-707 ◽  
Author(s):  
Kaixin Wang ◽  
Hong Wang
Keyword(s):  
Error Estimate ◽  
Unstructured Meshes ◽  
Diffusion Equations ◽  
Optimal Order ◽  
Order Error ◽  
Advection Diffusion

Modified Minimal Error Method for Nonlinear Ill-Posed Problems

2018 ◽  
Vol 18 (2) ◽  
pp. 313-321
Author(s):  
M. Sabari ◽  
Santhosh George
Keyword(s):  
Error Estimate ◽  
Noisy Data ◽  
Optimal Order ◽  
Order Error ◽  
Source Condition ◽  
Minimal Error ◽  
Ill Posed ◽  
Error Method

AbstractAn error estimate for the minimal error method for nonlinear ill-posed problems under general a Hölder-type source condition is not known. We consider a modified minimal error method for nonlinear ill-posed problems. Using a Hölder-type source condition, we obtain an optimal order error estimate. We also consider the modified minimal error method with noisy data and provide an error estimate.

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