Maximum Norm Regularity of Periodic Elliptic Difference Operators With Variable Coefficients

DOI10.1051/m2an/2015018zbMath1360.65262OpenAlexW2325128071MaRDI QIDQ3449164

Michael Pruitt

Publication date: 3 November 2015

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2015018

zbMATH Keywords

periodic boundary conditionsfinite differenceelliptic operatorvariable coefficientsmaximum norm estimates

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (1)

Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients

Cites Work

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• Large time step maximum norm regularity of L-stable difference methods for parabolic equations
• On the regularity of difference schemes. II: Regularity estimates for linear and nonlinear problems
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• On the regularity of difference schemes
• Interior a priori estimates in discrete L\(_p\) norms for solutions of parabolic and elliptic difference equations
• Elliptic difference equations and interior regularity
• Regularity Estimates up to the Boundary for Elliptic Systems of Difference Equations
• Smoothing Properties of Implicit Finite Difference Methods for a Diffusion Equation in Maximum Norm
• An Introduction to Partial Differential Equations
• Discrete Interior Schauder Estimates for Elliptic Difference Operators
• Interior Estimates in $l^p $ for Elliptic Difference Operators
• The Finite Fourier Series and Elementary Geometry

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