MATH 590: Meshfree Methods - Chapter 6 - Applied Mathematics
MATH 590: Meshfree Methods - Chapter 6 - Applied Mathematics
MATH 590: Meshfree Methods - Chapter 6 - Applied Mathematics
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Interpolation with Multivariate PolynomialsRemarkLater on we will be interested in applying our interpolation methods tothe numerical solution of partial differential equations, and practitioners(especially of finite element methods) often judge an interpolationmethod by its ability to pass the so-called patch test.An interpolation method passes the standard patch test if it canreproduce linear functions. In engineering applications this translatesinto exact calculation of constant stress and strain.fasshauer@iit.edu <strong>MATH</strong> <strong>590</strong> – <strong>Chapter</strong> 6 13