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.
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A least-squares meshfree method for incompressible flows introduces a local primal-dual grid to achieve consistent staggered discretization and local divergence-free velocities.
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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.