On the efficient solution of nonlinear finite element equations. I

DOI10.1007/BF01396413zbMath0427.65074OpenAlexW2059080985MaRDI QIDQ1136489

Hans D. Mittelmann

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/186291

zbMATH Keywords

global convergencenumerical resultsrelaxation algorithmmodified conjugate gradient methodnonlinear algebraic systemsdiscretizations of elliptic boundary value problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical computation of solutions to systems of equations (65H10) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods of relaxation type (49M20)

Related Items (3)

A nonlinearly preconditioned conjugate gradient algorithm for rank‐R canonical tensor approximation ⋮ Computational method for finding various solutions for a quasilinear elliptic equation of Kirchhoff type ⋮ Nonlinearly Preconditioned Optimization on Grassmann Manifolds for Computing Approximate Tucker Tensor Decompositions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerische Behandlung nichtlinearer Randwertprobleme mit finiten Elementen
• On the approximation of capillary surfaces in a gravitational field
• Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method
• Zur Diskretisierung nichtlinearer elliptischer Differentialgleichungen. (On the discretization of nonlinear elliptic differential equations)
• Iteration Methods for Nonlinear Problems
• Location-Allocation Problems
• Einzelschrittverfahren zur Lösung konvexer und dual‐konvexer Minimierungsprobleme
• On the Convergence of a Numerical Scheme for Solving Some Locational Equilibrium Problems
• Numerical Solution of the Minimal Surface Equation

This page was built for publication: On the efficient solution of nonlinear finite element equations. I