Newton's method for gradient equations based upon the fixed point map: Convergence and complexity study

DOI10.1007/BF01389333zbMath0675.65111OpenAlexW2021132089MaRDI QIDQ1122341

Joseph W. Jerome

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/133374

zbMATH Keywords

complexityfinite elementNewton methodgradient equationsR-quadratic convergence

Mathematics Subject Classification ID

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)

Related Items

Numerical approximation of PDE system fixed-point maps via Newton's method

Cites Work

• An adaptive Newton algorithm based on numerical inversion: Regularization as postconditioner
• Approximate Newton methods and homotopy for stationary operator equations
• Approximation of nonlinear evolution systems
• Parameter Selection for Newton-Like Methods Applicable to Nonlinear Partial Differential Equations
• Elliptic Partial Differential Equations of Second Order
• Metric entropy and approximation
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