Computational cost estimates for parallel shared memory isogeometric multi-frontal solvers

QR Code

Computational cost estimates for parallel shared memory isogeometric multi-frontal solvers

In this paper we present computational cost estimates for parallel shared memory isogeometric multi-frontal solvers. The estimates show that the ideal isogeometric shared memory parallel direct solver scales as O( p2log(N/p)) for one dimensional problems, O(Np2) for two dimensional problems, and O(N...

Full description

Bibliographic Details
Main Authors:	Wozniak, M., Kuznik, K., Paszynski, M., Calo, Victor, Pardo, D.
Format:	Journal Article
Published:	Pergamon Press 2014
Online Access:	http://hdl.handle.net/20.500.11937/51576

Similar Items

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

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

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

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

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

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

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

Computational complexity and memory usage for multi-frontal direct solvers in structured mesh finite elements
by: Collier, N., et al.
Published: (2012)

Computational complexity and memory usage for multi-frontal direct solvers used in p finite element analysis
by: Calo, Victor, et al.
Published: (2011)

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

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

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

Fast isogeometric solvers for explicit dynamics
by: Gao, L., et al.
Published: (2014)

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

Mesh-based multi-frontal solver with reuse of partial LU factorizations for antenna array
by: Martinez-Fernandez, I., et al.
Published: (2017)

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

Dynamic programming algorithm for generation of optimal elimination trees for multi-frontal direct solver over h-refined grids
by: AbouEisha, H., et al.
Published: (2014)

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

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

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

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

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

Parallel simulations of 3d DC borehole resistivity measurements with goaloriented self-adaptive hp finite element method
by: Paszynski, M., et al.
Published: (2012)

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

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

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)

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

Parallel Programming With Distributed Shared Memory
by: Lee, Pau Hua
Published: (2006)

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

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)

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

3D multi-source CSEM simulations: Feasibility and comparison of parallel direct solvers
by: Puzyrev, Vladimir, et al.
Published: (2015)

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

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

Goal-oriented self-adaptive hp finite element simulation of 3D DC borehole resistivity simulations
by: Calo, Victor, et al.
Published: (2011)

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

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

Bisections-Weighted-by-Element-Size-and-Order Algorithm to Optimize Direct Solver Performance on 3D hp-adaptive Grids
by: AbouEisha, H., et al.
Published: (2018)