scholarly journals Optimal Convergence Rates for Elliptic Homogenization Problems in Nondivergence-Form: Analysis and Numerical Illustrations

2021 ◽  
Vol 19 (3) ◽  
pp. 1453-1473
Author(s):  
Timo Sprekeler ◽  
Hung V. Tran
Keyword(s):  
Convergence Rates ◽  
Form Analysis ◽  
Optimal Convergence ◽  
Nondivergence Form ◽  
Optimal Convergence Rates ◽  
Homogenization Problems

Mixed Schemes for Fourth-Order DIV Equations

2019 ◽  
Vol 19 (2) ◽  
pp. 341-357
Author(s):  
Ronghong Fan ◽  
Yanru Liu ◽  
Shuo Zhang
Keyword(s):  
Theoretical Analysis ◽  
Fourth Order ◽  
Convergence Rates ◽  
Mixed Formulation ◽  
Optimal Convergence ◽  
Mixed Formulations ◽  
Optimal Convergence Rates

AbstractIn this paper, stable mixed formulations are designed and analyzed for the quad div problems under two frameworks presented in [23] and [22], respectively. Analogue discretizations are given with respect to the mixed formulation, and optimal convergence rates are observed, which confirm the theoretical analysis.

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