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Showing 1 to 5 of 5 for “"Petrov-Galerkin formulation"”.
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Design optimization of acoustic metamaterials and phononic crystals with a time domain method
… in the time-domain using a Streamline Upwind/Petrov Galerkin formulation. Topology parameterization is accomplished using the homogenization method, and shape optimization is subsequently used afterwards to refine the geometries. Surface parameterization is accomplished using control grids, …
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Métodos de elementos finitos mistos e malhas adaptativas na análise de cascas axissimétricas
… field as well as two fields finite element formulations are discussed. A consistent mixed Petrov-Galerkin formulation is considered in order to achieve both stability and accuracy. It consists in adding to the classical Galerkin formulation a residual form of the equilibrium equation in the …
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A stabilized finite element dynamic overset method for the Navier-Stokes equations
… methodology for use within a streamline/upwind Petrov-Galerkin formulation for unsteady, viscous, moving boundary simulations. A novel hole cutting procedure based on solutions to Poisson equation is introduced and compared to existing techniques. A MPI-based parallel three-dimensional overset …
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A stabilized finite element dynamic overset method for the Navier-Stokes equations
… methodology for use within a streamline/upwind Petrov-Galerkin formulation for unsteady, viscous, moving boundary simulations. A novel hole cutting procedure based on solutions to Poisson equation is introduced and compared to existing techniques. A MPI-based parallel three-dimensional overset …
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Recycling Bi-Lanczos Algorithms: BiCG, CGS, and BiCGSTAB
Engineering problems frequently require solving a sequence of dual linear systems. This paper introduces recycling BiCG, that recycles the Krylov subspace from one pair of linear systems to the next pair. Augmented bi-Lanczos algorithm and modified two-term recurrence are developed for using the …