Trust-region methods for nonlinear elliptic equations with radial basis functions

DOI10.1016/j.camwa.2016.07.014zbMath1361.65092arXiv1512.02873OpenAlexW2963798791MaRDI QIDQ521519

Francisco Bernal

Publication date: 11 April 2017

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

Full work available at URL: https://arxiv.org/abs/1512.02873

zbMATH Keywords

nonlinear elliptic boundary value problemscollocationquasilinearradial basis functiontrust-region methodHele-Shaw flowKansa's methodPlateau's problemsemilinearMonge-Ampère

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Nonlinear elliptic equations (35J60) Semilinear elliptic equations (35J61) Quasilinear elliptic equations (35J62) Monge-Ampère equations (35J96)

Related Items

An efficient meshless radial point collocation method for nonlinear \(p\)-Laplacian equation ⋮ Differentiability of the objective in a class of coefficient inverse problems ⋮ On variational iterative methods for semilinear problems ⋮ Analyzing the nonlinear \(p\)-Laplacian problem with the improved element-free Galerkin method ⋮ The element-free Galerkin method for the nonlinear \(p\)-Laplacian equation ⋮ Learning radial basis function networks with the trust region method for boundary problems

Uses Software

• Matlab
• GQTPAR
• rbf_qr

Cites Work

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