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A meshless point collocation solver for elliptic boundary value problems
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DOI：10.1016/j.amc.2025.129673.png)
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Abstract
En 中文
• We develop a strong-form meshless point collocation (MPC) solver for the Poisson equation in 2D and 3D. • The method supports pressure correction in incompressible flows or stream functionvorticity formulations. • Quadratic triangular and tetrahedral mesh nodes serve as the MPC point cloud without mesh quality constraints. • Support domains are defined using element connectivity; stiffness matrices resemble FEM in bandwidth. • Both direct and iterative solvers are employed to assess the method’s accuracy and efficiency. • The MPC approach scales effectively in large 3D problems, offering high computational performance.
Keywords:
meshless point collocation
Poisson equation
incompressible flows
stream function-vorticity
computational performance
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3.4
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2.3W
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