Fast isogeometric solvers for explicit dynamics

QR Code

Fast isogeometric solvers for explicit dynamics

In finite element analysis, solving time-dependent partial differential equations with explicit time marching schemes requires repeatedly applying the inverse of the mass matrix. For mass matrices that can be expressed as tensor products of lower dimensional matrices, we present a direct method that...

Full description

Bibliographic Details
Main Authors:	Gao, L., Calo, Victor
Format:	Journal Article
Published:	2014
Online Access:	http://hdl.handle.net/20.500.11937/51554

Similar Items

Parallel Fast Isogeometric Solvers for Explicit Dynamics
by: Wozniak, M., et al.
Published: (2017)

The value of continuity: Refined isogeometric analysis and fast direct solvers
by: Garcia, D., et al.
Published: (2016)

Refined Isogeometric Analysis for a preconditioned conjugate gradient solver
by: Garcia, D., et al.
Published: (2018)

The cost of continuity: Performance of iterative solvers on isogeometric finite elements
by: Collier, N., et al.
Published: (2013)

On the computational efficiency of isogeometric methods for smooth elliptic problems using direct solvers
by: Collier, N., et al.
Published: (2014)

Grammar based multi-frontal solver for isogeometric analysis in 1D
by: Kuznik, K., et al.
Published: (2013)

Computational cost of isogeometric multi-frontal solvers on parallel distributed memory machines
by: Wozniak, M., et al.
Published: (2015)

Graph Grammar Based Multi-Frontal Solver for Isogeometric FEM Simulations On GPU
by: Paszynski, M., et al.
Published: (2013)

Computational cost estimates for parallel shared memory isogeometric multi-frontal solvers
by: Wozniak, M., et al.
Published: (2014)

The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers
by: Collier, N., et al.
Published: (2012)

Graph grammar-based multi-frontal parallel direct solver for two-dimensional isogeometric analysis
by: Kuznik, K., et al.
Published: (2012)

Grammar-based multi-frontal solver for one dimensional isogeometric analysis with multiple right-hand-sides
by: Kuznik, K., et al.
Published: (2013)

Graph grammar based parallel direct solver for 1D and 2D isogeometric finite element method
by: Paszynski, M., et al.
Published: (2012)

Dispersion-minimized mass for isogeometric analysis
by: Deng, Quanling, et al.
Published: (2018)

Quadrature blending for isogeometric analysis
by: Calo, Victor, et al.
Published: (2017)

Isogeometric spectral approximation for elliptic differential operators
by: Deng, Quanling, et al.
Published: (2018)

An efficient four points modified explicit group poisson solver
by: Othman, Mohamed, et al.
Published: (2000)

Telescopic hybrid fast solver for 3D elliptic problems with point singularities
by: Paszynska, A., et al.
Published: (2015)

Gauss–Galerkin quadrature rules for quadratic and cubic spline spaces and their application to isogeometric analysis
by: Barton, M., et al.
Published: (2017)

Isogeometric analysis of hyperelastic materials using petiGA
by: Bernal, L., et al.
Published: (2013)

Isogeometric shell formulation based on a classical shell model
by: Niemi, A., et al.
Published: (2012)

PetIGA: A framework for high-performance isogeometric analysis
by: Dalcin, L., et al.
Published: (2016)

Direct solvers performance on h-adapted grids
by: Paszynski, M., et al.
Published: (2015)

Modeling phase-transitions using a high-performance, isogeometric analysis framework
by: Vignal, P., et al.
Published: (2014)

Generalization of the Pythagorean Eigenvalue Error Theorem and Its Application to Isogeometric Analysis
by: Barton, M., et al.
Published: (2018)

Dispersion-minimizing quadrature rules for C1 quadratic isogeometric analysis
by: Deng, Q., et al.
Published: (2017)

Optimal quadrature rules for odd-degree spline spaces and their application to tensor-product-based isogeometric analysis
by: Barton, M., et al.
Published: (2016)

Optimal spectral approximation of 2n-order differential operators by mixed isogeometric analysis
by: Deng, Quanling, et al.
Published: (2019)

A fast higher order poisson solver
by: Othman, M., et al.
Published: (2001)

A fast higher order Poisson solver
by: Othman, Mohamed, et al.
Published: (2001)

Simulation of laminar and turbulent concentric pipe flows with the isogeometric variational multiscale method
by: Ghaffari Motlagh, Y., et al.
Published: (2013)

A survey on direct solvers for Galerkin methods
by: Pardo, D., et al.
Published: (2012)

Isogeometric variational multiscale large-eddy simulation of fully-developed turbulent flow over a wavy wall
by: Chang, K., et al.
Published: (2012)

Dealing with periodic boundary conditions for 1D, 2D and 3D isogeometric finite element method
by: Los, M., et al.
Published: (2015)

Dispersion-optimized quadrature rules for isogeometric analysis: Modified inner products, their dispersion properties, and optimally blended schemes
by: Puzyrev, Vladimir, et al.
Published: (2017)

Impact of element-level static condensation on iterative solver performance
by: Pardo, D., et al.
Published: (2015)

The halfsweeps multigrid method as a fast multigrid Poisson solver
by: Othman, Mohamed, et al.
Published: (1998)

ICCS 2017 Workshop on Agent-Based Simulations, Adaptive Algorithms and Solvers
by: Byrski, A., et al.
Published: (2017)

Element Partition Trees for H-Refined Meshes to Optimize Direct Solver Performance. Part I: Dynamic Programming
by: Aboueisha, H., et al.
Published: (2017)

A direct solver with reutilization of LU factorizations for h-adaptive finite element grids with point singularities
by: Paszynski, M., et al.
Published: (2013)