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Showing 1 to 7 of 7 for “"P-multigrid"”.
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Acceleration Techniques for Industrial Large Eddy Simulation with High-Order Methods on CPU-GPU Clusters
… acceleration techniques are investigated: the p-multigrid algorithm and Mach number preconditioning. The Weiss and Smith low Mach number preconditioner is used together with the p-multigrid method, and the third order explicit Runge-Kutta (RK3) scheme is considered as the smoother to reduce …
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A high-order discontinuous Galerkin multigrid solver for aerodynamic applications
… Galerkin finite element solver using p-multigrid with line Jacobi smoothing. The line smoothing algorithm is presented for unstructured meshes, and p-multigrid is outlined for the nonlinear Euler equations of gas dynamics. Analysis of 2-D advection shows the improved performance of line …
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Multigrid solution for high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
… Galerkin finite element discretization and p-multigrid solution procedure for the compressible Navier-Stokes equations are presented. The discretization has an element-compact stencil such that only elements sharing a face are coupled, regardless of the solution space. This limited coupling …
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A linear multigrid preconditioner for the solution of the Navier-Stokes equations using a discontinuous Galerkin discretization
… dual matrix storage format. A linear p-multigrid algorithm using element Line-Jacobi, and Block-ILU(O) smoothing is presented as a preconditioner to GMRES.
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High Order Finite Element Solution of Elastohydrodynamic Lubrication Problems
… expensive due to the extra dimension. Hence p-multigrid is employed to improve the efficiency. Since the free boundary in the two-dimensional case is more complicated, only the penalty method is used to handle the cavitation condition. This thesis is ended with the conclusions and a discussion …
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Domain decomposition preconditioners for higher-order discontinuous Galerkin discretizations
… based on incomplete factorizations and a p-multigrid type coarse grid correction. It is shown that the incomplete factorization of the singular linear systems corresponding to local Neumann problems results in a nonsingular preconditioner. The inexact BDDC preconditioner converges in a …
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Exascale finite/spectral element simulations
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2026-08-01