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math.NA2026
A Matrix-free Augmented High Order Compact Solver for Variable-Coefficient Biharmonic Problems
Jin Li, Kejia Pan, Xu Qian +1
We propose an augmented high-order compact finite difference method for biharmonic equations with clamped boundary conditions and variable coefficients. Standard mixed-type formula…
math.NA2026
A Robust Helmholtz-Decomposition-Based Real Compressed Layer Method for Time-Harmonic Elastic Wave Scattering
Li-Lian Wang, Lu Zhang
Time-harmonic elastic wave scattering involves both compressional (P-) and shear (S-) waves, which propagate with different wavenumbers and polarization characteristics. The naive…