6533b7d4fe1ef96bd1261c29

RESEARCH PRODUCT

Exponential convergence andH-c multiquadric collocation method for partial differential equations

M. A. GolbergE.j. KansaAlexander H.-d. ChengG. Zammito

subject

Numerical AnalysisRegularized meshless methodPartial differential equationApplied MathematicsGaussianMathematical analysisResidualSingular boundary methodComputational Mathematicssymbols.namesakeCollocation methodsymbolsOrthogonal collocationRadial basis functionAnalysisMathematics

description

The radial basis function (RBF) collocation method uses global shape functions to interpolate and collocatethe approximate solution of PDEs. It is a truly meshless method as compared to some of the so-calledmeshless or element-free finite element methods. For the multiquadric and Gaussian RBFs, there are twoways to make the solution converge—either by refining the mesh size

https://doi.org/10.1002/num.10062