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.
An algebraic treatment of essential boundary conditions in the particle–partition of unity method.SIAM Journal on Scientific Computing, 31(2): 1581–1602, 2009
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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.