DiffPhD delivers a unified differentiable projective dynamics solver for heterogeneous hyperelastic elastodynamics with contact that achieves up to 10x speedup and stable convergence on 100x stiffness contrasts while preserving strict gradient accuracy.
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Introduces and analyzes the Δ_k-GenEO coarse space for Helmholtz problems, sharpening k-explicit GMRES convergence conditions and demonstrating scalability and robustness for low to moderate frequencies via numerical experiments.
This survey distills theoretical insights and practical design principles for domain decomposition methods as preconditioners, emphasizing robust coarse spaces and high-performance computing implementations.
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DiffPhD: A Unified Differentiable Solver for Projective Heterogeneous Materials in Elastodynamics with Contact-Rich GPU-Acceleration
DiffPhD delivers a unified differentiable projective dynamics solver for heterogeneous hyperelastic elastodynamics with contact that achieves up to 10x speedup and stable convergence on 100x stiffness contrasts while preserving strict gradient accuracy.
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Can Symmetric Positive Definite (SPD) coarse spaces perform well for indefinite Helmholtz problems?
Introduces and analyzes the Δ_k-GenEO coarse space for Helmholtz problems, sharpening k-explicit GMRES convergence conditions and demonstrating scalability and robustness for low to moderate frequencies via numerical experiments.
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A Guided Tour of Modern Domain Decomposition: From Schwarz Iterations to Robust Preconditioners and HPC Implementations
This survey distills theoretical insights and practical design principles for domain decomposition methods as preconditioners, emphasizing robust coarse spaces and high-performance computing implementations.