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.
New boundary condition treatments in meshfree computation of contact problems.Computer Methods in Applied Mechanics and Engineering, 187(3–4):441–468, 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.