MiGFEM introduces a partition-of-zero smoothness-transfer mechanism that cancels derivative jumps exactly for polynomials and decays appropriately for smooth fields, enabling polynomial-exact intrinsic derivatives on C0 meshes.
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An adaptive hyperviscosity stabilization for RBF-FD is proposed that sets the constant from the spectral radius of the evolution matrix, supports general nodes, and is demonstrated on linear advection and Burgers' equation with limited dissipation.
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Mesh-Intrinsic GFEM: High-Order Smoothness on $C^0$ Unstructured Meshes
MiGFEM introduces a partition-of-zero smoothness-transfer mechanism that cancels derivative jumps exactly for polynomials and decays appropriately for smooth fields, enabling polynomial-exact intrinsic derivatives on C0 meshes.
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Adaptive hyperviscosity stabilisation for the RBF-FD method in solving advection-dominated transport equations
An adaptive hyperviscosity stabilization for RBF-FD is proposed that sets the constant from the spectral radius of the evolution matrix, supports general nodes, and is demonstrated on linear advection and Burgers' equation with limited dissipation.