A local least-squares method for solving nonlinear partial differential equations of second order

DOI10.1007/s00211-008-0192-4zbMath1178.65136OpenAlexW2072868100MaRDI QIDQ998644

Pascal Heider

Publication date: 9 February 2009

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

Full work available at URL: https://doi.org/10.1007/s00211-008-0192-4

zbMATH Keywords

Laplace equationnonlinear PDEssecond ordermesh free methodlocal least-squares method

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Uses Software

• ANN

Cites Work

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• Meshfree methods for partial differential equations III. Selected papers based on the presentations at the 3rd international workshop, Bonn, Germany, September 12--15, 2005
• The partition of unity finite element method: basic theory and applications
• Meshfree methods for partial differential equations II. Selected contributions of the second international workshop, Bonn, Germany, September 15--17, 2003
• Polynomial interpolation in several variables
• Ignoring ignorance and agreeing to disagree
• Error Estimates in Sobolev Spaces for Moving Least Square Approximations
• A Particle-Partition of Unity Method--Part II: Efficient Cover Construction and Reliable Integration
• Smoothed particle hydrodynamics: theory and application to non-spherical stars
• Surfaces Generated by Moving Least Squares Methods
• Why Particle Methods Work
• On Lattices Admitting Unique Lagrange Interpolations
• Meshless Galerkin methods using radial basis functions
• Element‐free Galerkin methods
• THE PARTITION OF UNITY METHOD
• Radial Basis Functions
• An Algebraic Multigrid Method for Linear Elasticity
• A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs
• Reproducing kernel particle methods
• Scattered Data Approximation

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