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Investigate Matrix-Based Approach #221

@julianlitz

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@julianlitz

Task: Construct an explicit CSR matrix inside the Residual class and benchmark it against the current matrix-free approach.

This is primarily an exploratory issue. The matrix-based approach may be advantageous in contexts where the operator is applied many times (amortizing assembly cost) or where hardware prefers structured memory access. The matrix-free approach is expected to win on memory footprint, but the crossover point is worth understanding empirically.

Results should be documented and used to inform future architecture decisions.

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