Newton-\(\mathrm{LL}^\ast\) method for the second-order semi-linear elliptic partial differential equations

DOI10.1016/j.camwa.2014.11.006zbMath1443.65357OpenAlexW1997028004MaRDI QIDQ2006114

Eunjung Lee

Publication date: 8 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.11.006

zbMATH Keywords

Newton's methodfirst-order system \(\mathrm{LL}^\ast\) methodsecond-order semi-linear partial differential equations

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) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Quasilinear elliptic equations (35J62)

Related Items (1)

Dual system least-squares finite element method for a hyperbolic problem

Cites Work

• First-Order System Least Squares for Incompressible Resistive Magnetohydrodynamics
• FOSLL* for Nonlinear Partial Differential Equations
• Enhanced Mass Conservation in Least-Squares Methods for Navier–Stokes Equations
• Finite Element Methods for Navier-Stokes Equations
• First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
• First-Order System Least Squares for Second-Order Partial Differential Equations: Part II
• Multilevel First-Order System Least Squares for Nonlinear Elliptic Partial Differential Equations
• Preconditioning and Boundary Conditions without $H_2$ Estimates: $L_2$ Condition Numbers and the Distribution of the Singular Values
• First‐Order System Least Squares for Geometrically Nonlinear Elasticity
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