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Abstract
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This paper deals with the solvability and the convergence of a class of unsymmetric
Meshless Local Petrov-Galerkin (MLPG) method with radial basis function
(RBF) kernels generated trial spaces. Local weak-form testings are done with stepfunctions.
It is proved that subject to sufficiently many appropriate testings, solvability
of the unsymmetric RBF-MLPG resultant systems can be guaranteed. Moreover, an
error analysis shows that this numerical approximation converges at the same rate as
found in RBF interpolation. Numerical results (in double precision) give good agreement
with the provided theory.
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