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Summary form only given. We present a case study of solving very large sparse linear systems in end-to-end accelerator structure simulations. Both direct solvers and iterative solvers are investigated. A parallel multilevel preconditioner based on hierarchical finite element basis functions is considered and has been implemented to accelerate the(More)
Over a decade of concerted effort in code development for accelerator applications has resulted in a new set of electromagnetic codes which are based on higher-order finite elements for superior geometry fidelity and better solution accuracy. SLAC’s ACE3P code suite is designed to harness the power of massively parallel computers to tackle large complex(More)
Higher-order finite element method requires valid curved meshes in three-dimensional domains to achieve the solution accuracy. When applying adaptive higher-order finite elements in large-scale simulations, complexities that arise include moving the curved mesh adaptation along with the critical domains to achieve computational efficiency. This paper(More)
ACE3P is a 3D parallel simulation suite that is being developed at SLAC National Accelerator Laboratory. Effectively utilizing supercomputer resources, ACE3P has become a key tool for the coupled electromagnetic, thermal and mechanical research and design of particle accelerators. Based on the existing finite-element infrastructure, a massively parallel(More)
The SciDAC2 accelerator project at SLAC aims to simulate an entire threecryomodule radio frequency (RF) unit of the International Linear Collider (ILC) main Linac. Petascale computing resources supported by advances in Applied Mathematics (AM) and Computer Science (CS) and INCITE Program are essential to enable such very large-scale electromagnetic(More)
We present a fourth order compact nite diierence scheme for a general three dimensional convection diiusion equation with variable coeecients on a uniform cubic grid. This high order compact diierence scheme is used to solve convection diiusion equation with boundary layers on a three dimensional nonuniform grid. We compare the computed accuracy and(More)
SciDAC1, with its support for the “Advanced Computing for 21 Century Accelerator Science and Technology” (AST) project, witnessed dramatic advances in electromagnetic (EM) simulations for the design and optimization of important accelerators across the Office of Science. In SciDAC2, EM simulations continue to play an important role in the “Community(More)
SLAC performs large-scale simulations for the next-generation accelerator design using higher-order finite elements. This method requires using valid curved meshes and adaptive mesh refinement in complex 3D curved domains to achieve its fast rate of convergence. ITAPS has developed a procedure to address those mesh requirements to enable petascale(More)
We derive a family of fourth order nite diierence schemes on the rotated grid for the two dimensional convection diiusion equation with variable coeecients. In the case of constant convection coeecients, we present an analytic bound on the spectral radius of the line Jacobi iteration matrix in terms of the cell Reynolds numbers. Our analysis and numerical(More)
The computation of wakefield induced by an ultra-short charged particle beam is one of the most computationally challenging problems in high-performance computing for accelerator. With SciDAC collaborations in computational science, a novel moving-window technique is developed for the finite element time domain (FETD) code T3P to tackle this problem through(More)