Higher order approximation of biharmonic problem using the WEB-Spline based mesh-free method.

Then the coefficients HT <math display="block" xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>e</mi><mi>i</mi><mo>,</mo><mi mathvariant="bold">j</mi></msub><mo>=</mo><munderover accentunder="false" accent="false"><mo> </mo><mi> </mi><mo>=</mo><mn>1</mn><mi>d</mi></munderover><mtext> </mtext><munderover accentunder="false" accent="false"><mo> </mo><mrow><mi> </mi><mo>=</mo><mn>0</mn><mo>;</mo><msub><mi>l</mi><mi> </mi></msub><mo>+</mo><mi> </mi><mo>/=</mo><msub><mi>i</mi><mi> </mi></msub></mrow><mi>n</mi></munderover><mtext> </mtext><mfrac><mrow><msub><mi mathvariant="bold">j</mi><mi> </mi></msub><mo>-</mo><msub><mi>l</mi><mi> </mi></msub><mo>-</mo><mi> </mi></mrow><mrow><msub><mi>i</mi><mi> </mi></msub><mo>-</mo><msub><mi>l</mi><mi> </mi></msub><mo>-</mo><mi> </mi></mrow></mfrac></math> ht Graph are admissible for constructing WEB-Splines according to Definition 2.1. Now consider HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>v</mi><mi>h</mi></msub><mo>=</mo><msub><mi>B</mi><mi>j</mi></msub><mo>,</mo><msub><mi>v</mi><mo> </mo><mi>h</mi></msub><mo>=</mo><msub><mi mathvariant="normal"> </mi><mi>j</mi></msub></math> ht , I j i I K i , Eqs. [Extracted from the article]