The natural decomposition method uses a source subproblem, weighted curl correction, and scalar recovery to transfer boundary data into meshfree spaces, with equivalence proven for simple domains at the continuous level.
Enrichment and coupling of the finite element and meshless methods.International Journal for Numerical Methods in Engineering, 48(11): 1615–1636, 2000
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A Natural Decomposition Method for Essential Boundary Conditions in Noninterpolatory Meshfree Spaces
The natural decomposition method uses a source subproblem, weighted curl correction, and scalar recovery to transfer boundary data into meshfree spaces, with equivalence proven for simple domains at the continuous level.