This paper derives theoretical estimates of the computational cost for isogeometric multi-frontal direct solver executed on parallel distributed memory machines. We show theoretically that for the $C^{p-1}$ global continuity of the isogeometric solution, both the computational cost and the communication cost of a direct solver are of order $\mathcal{O}(log(N)p^2)$ for the one dimensional $(1D)$ case, $\mathcal{O}(Np^2)$ for the two dimensional $(2D)$ case, and $\mathcal{O}(N^{4/3}p^2)$ for the three dimensional $(3D)$ case, where $N$ is the number of degrees of freedom and p is the polynomial order of the B-spline basis functions. The theoretical estimates are verified by numerical experiments performed with three parallel multi-frontal dir...
We focus on two and three-dimensional isogeometric finite element method computations with tensor pr...
SUMMARY: We compare the computational efficiency of isogeometric Galerkin and collocation methods fo...
AbstractThis paper introduces a grammar-based model for developing a multi-thread multi-frontal para...
This paper derives theoretical estimates of the computational cost for isogeometric multi-frontal di...
In this paper we present computational cost estimates for parallel shared memory isogeometric multi-...
We study three-dimensional isogeometric analysis (IGA) and the solution of the resulting system of l...
We present a multi-frontal direct solver for two dimensional isogeometric finite element method simu...
The multi-frontal direct solver is the state of the art for the direct solution of linear systems. T...
This paper presents a parallel implementation of the fast isogeometric solvers for explicit dynamics...
We study the performance of direct solvers on linear systems of equations resulting from isogeometri...
The multi-frontal direct solver is the state-of-the-art algorithm for the direct solution of sparse ...
We propose the use of highly continuous finite element spaces interconnected with low continuity hyp...
We study the performance of direct solvers on linear systems of equations resulting from isogeometri...
AbstractThe multi-frontal direct solver is the state of the art for the direct solution of linear sy...
This paper introduces a grammar-based model for developing a multi-thread multi-frontal parallel dir...
We focus on two and three-dimensional isogeometric finite element method computations with tensor pr...
SUMMARY: We compare the computational efficiency of isogeometric Galerkin and collocation methods fo...
AbstractThis paper introduces a grammar-based model for developing a multi-thread multi-frontal para...
This paper derives theoretical estimates of the computational cost for isogeometric multi-frontal di...
In this paper we present computational cost estimates for parallel shared memory isogeometric multi-...
We study three-dimensional isogeometric analysis (IGA) and the solution of the resulting system of l...
We present a multi-frontal direct solver for two dimensional isogeometric finite element method simu...
The multi-frontal direct solver is the state of the art for the direct solution of linear systems. T...
This paper presents a parallel implementation of the fast isogeometric solvers for explicit dynamics...
We study the performance of direct solvers on linear systems of equations resulting from isogeometri...
The multi-frontal direct solver is the state-of-the-art algorithm for the direct solution of sparse ...
We propose the use of highly continuous finite element spaces interconnected with low continuity hyp...
We study the performance of direct solvers on linear systems of equations resulting from isogeometri...
AbstractThe multi-frontal direct solver is the state of the art for the direct solution of linear sy...
This paper introduces a grammar-based model for developing a multi-thread multi-frontal parallel dir...
We focus on two and three-dimensional isogeometric finite element method computations with tensor pr...
SUMMARY: We compare the computational efficiency of isogeometric Galerkin and collocation methods fo...
AbstractThis paper introduces a grammar-based model for developing a multi-thread multi-frontal para...