On finite element methods for the Neumann problem

DOI10.1007/BF01389660zbMath0571.65099MaRDI QIDQ1061468

I. N. Molchanov, E. F. Galba

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/133015

zbMATH Keywords

numerical examplesfinite elementRitz methodorder of convergenceNeumann problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (5)

New error estimates of Adini's elements for Poisson's equation ⋮ Variational statements and discretization of the boundary-value problem of elasticity where stress at the boundary is known ⋮ Finite element approximations for \(\Delta u-qu=f\) on a Riemann surface ⋮ Variational formulations of the static problem of elasticity theory under specified external forces ⋮ A practical finite element approximation of a semi-definite Neumann problem on a curved domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the convergence of the conjugate gradient method for singular capacitance matrix equations from the Neumann problem of the Poisson equation
• On the finite element method
• On some finite element procedures for solving second order boundary value problems
• Approximation in the finite element method
• On convergence of alternating direction procedures in the presence of singular operators
• A Minimal Storage Implementation of the Minimum Degree Algorithm
• An Optimal Order Process for Solving Finite Element Equations
• Difference Methods for Elliptic Partial Differential Equations with Nonunique Solutions
• Thep-Version of the Finite Element Method
• Interior Estimates for Ritz-Galerkin Methods
• On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method
• Convergent Powers of a Matrix with Applications to Iterative Methods for Singular Linear Systems
• On the l 2 Convergence of an Algorithm for Solving Finite Element Equations
• Algorithms for Matrix Partitioning and the Numerical Solution of Finite Element Systems
• On the Solution of Singular and Semidefinite Linear Systems by Iteration
• The Rate of Convergence for the Finite Element Method
• Inconsistencies and S.O.R. Convergence for the Discrete Neumann Problem

This page was built for publication: On finite element methods for the Neumann problem