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An efficient time-stepping solution for transient elastodynamic problems using hybrid-Trefftz finite elements
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DOI：10.1016/j.enganabound.2026.106845.png)
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Abstract
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• An efficient time-stepping hybrid-Trefftz formulation for transient elastodynamics. • New Trefftz-based DRM approximates particular solutions using artificial frequencies. • Boundary-only formulation with time-step independent matrices assembled just once. • Embedded controllable numerical damping avoids spurious high-frequency noise. • The approach is validated on bounded and unbounded shock wave benchmarks.
Keywords:
Hybrid-Trefftz finite elements
Dual Reciprocity Method
Particular solution
Time-stepping algorithms
Absorbing boundary
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