2012/05/17 by Roger P. Pawlowski, Pawlowski, Roger P., Eric T. Phipps +11 · 1 citation
Computer Science · Decision Sciences · Engineering · #Advanced Numerical Methods in Computational Mathematics #Computational Engineering #Computational Fluid Dynamics and Aerodynamics #Embedded Systems Design Techniques #FOS: Computer and information sciences #Finance #Mathematical Software (cs.MS) #Parallel Computing and Optimization Techniques #Probabilistic and Robust Engineering Design #Real-time simulation and control systems #and Science (cs.CE) #cs.CE #cs.MS
paper · pdf · doi:10.48550/arxiv.1205.3952
arxiv created 2012/05/17 · openalex publication_date 2012/05/17 · arxiv updated 2012/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A template-based generic programming approach was presented in a previous paper that separates the development effort of programming a physical model from that of computing additional quantities, such as derivatives, needed for embedded analysis algorithms. In this paper, we describe the implementation details for using the template-based generic programming approach for simulation and analysis of partial differential equations (PDEs). We detail several of the hurdles that we have encountered, and some of the software infrastructure developed to overcome them. We end with a demonstration where we present shape optimization and uncertainty quantification results for a 3D PDE application.