Discrete variational Green's function. I

DOI10.1007/BF01817748zbMath0194.12703OpenAlexW4254303923MaRDI QIDQ2538732

Philippe G. Ciarlet

Publication date: 1970

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136046

zbMATH Keywords

Green's functionlinear elliptic operatorvariational approximation procedure

Mathematics Subject Classification ID

Green's functions for elliptic equations (35J08)

Related Items (9)

Unnamed Item ⋮ The discrete maximum principle for Galerkin solutions of elliptic problems ⋮ Higher-order discrete maximum principle for 1D diffusion-reaction problems ⋮ Error-bounds for finite element method ⋮ Die diskrete Greensche Funktion und Fehlerabschätzungen zum Galerkin- Verfahren ⋮ Maximum principle and uniform convergence for the finite element method ⋮ Fehlerabschätzungen zum Galerkin-Verfahren für nicht lineare Randwertaufgaben mit Polynomen als Ansatzfunktionen ⋮ Finite-element approximation of a fourth-order differential equation ⋮ Finite element approximation of a fourth order integro-differential equation

Cites Work

• On the formulation of finite difference analogues of the Dirichlet problem for Poisson's equation
• Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem
• Characterization of Positive Reproducing Kernels. Applications to Green's Functions
• Approximation of Solutions of Mixed Boundary Value Problems for Poisson's Equation by Finite Differences
• On a Finite Difference Analogue of an Elliptic Boundary Problem which is Neither Diagonally Dominant Nor of Non‐negative Type
• A Finite Difference Analog of the Neumann Problem for Poisson’s Equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Discrete variational Green's function. I