Elliptic difference equations and interior regularity

DOI10.1007/BF02161842zbMath0159.38204MaRDI QIDQ2528203

B. Westergren, Vidar Thomée

Publication date: 1968

Published in: Numerische Mathematik (Search for Journal in Brave)

zbMATH Keywords

partial differential equations

Related Items (27)

Maximum Norm Regularity of Periodic Elliptic Difference Operators With Variable Coefficients ⋮ The Exact Order of Convergence for Finite Difference Approximations to Ordinary Boundary Value Problems ⋮ Decay estimates of discretized Green's functions for Schrödinger type operators ⋮ Interior a priori estimates in discrete L\(_p\) norms for solutions of parabolic and elliptic difference equations ⋮ On Local Approximation Properties of L₂-Projection on Spline-Subspaces† ⋮ Local-basis difference potentials method for elliptic PDEs in complex geometry ⋮ On the regularity of difference schemes ⋮ An Interior a Priori Estimate for Parabolic Difference Operators and an Application ⋮ Convergence of a Force-Based Hybrid Method in Three Dimensions ⋮ From finite differences to finite elements. A short history of numerical analysis of partial differential equations ⋮ An atomistic-based boundary element method for the reduction of molecular statics models ⋮ Opérateurs aux différences finies elliptiques ⋮ On superconvergence techniques ⋮ Composite mesh difference methods for elliptic boundary value problems ⋮ Stability, instability, and error of the force-based quasicontinuum approximation ⋮ Discrete Sobolev spaces and regularity of elliptic difference schemes ⋮ Zur Stabilität von Differenzenverfahren für Systeme linearer gewöhnlicher Randwertaufgaben ⋮ Factorization for difference operators ⋮ Estimates Near Plane Portions of the Boundary for Discrete Elliptic Boundary Problems ⋮ Interior estimates for second-order elliptic differential (or finite- difference) equations via the maximum principle ⋮ Interior Estimates for Ritz-Galerkin Methods ⋮ Die Konvergenz des Rand- und Eigenwertproblems linearer gewöhnlicher Differenzengleichungen ⋮ Convergence near plane boundaries of some elliptic difference schemes ⋮ Maximum-Norm Interior Estimates for Ritz-Galerkin Methods ⋮ Algèbre des opérateurs aux différences finies ⋮ Lösung des Dirichletproblems und Konvergenz der Differenzenapproximation für elliptische Differentialgleichungen zweiter Ordnung ⋮ Unnamed Item

Cites Work

• Elliptische Differenzenoperatoren unter Dirichlet-Randbedingungen
• A second order finite difference analog of the first biharmonic boundary value problem
• On the differentiability of the solutions of linear elliptic differential equations

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