The value of continuity: Refined isogeometric analysis and fast direct solvers

QR Code

The value of continuity: Refined isogeometric analysis and fast direct solvers

We propose the use of highly continuous finite element spaces interconnected with low continuity hyperplanes to maximize the performance of direct solvers. Starting from a highly continuous Isogeometric Analysis (IGA) discretization, we introduce . C0-separators to reduce the interconnection between...

Full description

Bibliographic Details
Main Authors:	Garcia, D., Pardo, D., Dalcin, L., Paszynski, M., Collier, N., Calo, Victor
Format:	Journal Article
Published:	2016
Online Access:	http://hdl.handle.net/20.500.11937/50863

Similar Items

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

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)

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

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

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

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

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

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)

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 isogeometric analysis in 1D
by: Kuznik, K., et al.
Published: (2013)

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

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

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

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

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

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

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

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

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

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)

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

Solving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis framework
by: Côrtes, A., et al.
Published: (2014)

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

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

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

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

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)

On round-off error for adaptive finite element methods
by: Alvarez-Aramberri, J., et al.
Published: (2012)

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

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)

PyFly: A fast, portable aerodynamics simulator
by: Garcia, D., 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)

Micropolar nano fluids using B-spline divergence conforming spaces
by: Sarmiento, A., et al.
Published: (2014)

Micropolar fluids using B-spline divergence conforming spaces
by: Sarmiento, A., 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)

Cannot write session to /tmp/vufind_sessions/sess_ge8a17d5pc3fape9kek1nh8q2s