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arxiv: 1309.1204 · v2 · pith:Z2S2K7X5new · submitted 2013-09-04 · 💻 cs.MS · cs.CE

Achieving High Performance with Unified Residual Evaluation

Matthew G. Knepley , Jed Brown , Karl Rupp , Barry F. Smith This is my paper
classification 💻 cs.MS cs.CE
keywords codeevaluationoperationresidualabstractionachievingbasiceliminate
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We examine residual evaluation, perhaps the most basic operation in numerical simulation. By raising the level of abstraction in this operation, we can eliminate specialized code, enable optimization, and greatly increase the extensibility of existing code.

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    A Hermite-like basis minimizes neighbor data access in matrix-free DG SIP operators to one value and one derivative per neighbor on hexahedral elements via Jacobi roots and tensor products.