The multi-frontal direct solver is the state-of-the-art algorithm for the direct solution of sparse linear systems. This paper provides computational complexity and memory usage estimates for the application of the multi-frontal direct solver algorithm on linear systems resulting from B-spline-based isogeometric finite elements, where the mesh is a structured grid. Specifically we provide the estimates for systems resulting from $C^{p-1}$ polynomial B-spline spaces and compare them to those obtained using $C^0$ spaces
Key words: finite element method, multifrontal solver, load balancing We work on direct methods to s...
In this paper we study how the use of a more continuous set of basis functions affects the cost of s...
In this paper we study how the use of a more continuous set of basis functions affects the cost of s...
AbstractThe multi-frontal direct solver is the state of the art for the direct solution of linear sy...
The multi-frontal direct solver is the state of the art for the direct solution of linear systems. T...
We focus on two and three-dimensional isogeometric finite element method computations with tensor pr...
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 present a multi-frontal direct solver for two dimensional isogeometric finite element method simu...
AbstractIn this paper we present a theoretical proof of linear computational cost and complexity for...
AbstractThis paper introduces a grammar-based model for developing a multi-thread multi-frontal para...
In this article we introduce a fast iterative solver for sparse matrices arising from the finite ele...
AbstractThe article is an in-depth comparison of numerical solvers and corresponding solution pro- c...
In this paper we present a multi-frontal direct solver algorithm for one and two dimensional isogeom...
This paper introduces a grammar-based model for developing a multi-thread multi-frontal parallel dir...
Key words: finite element method, multifrontal solver, load balancing We work on direct methods to s...
In this paper we study how the use of a more continuous set of basis functions affects the cost of s...
In this paper we study how the use of a more continuous set of basis functions affects the cost of s...
AbstractThe multi-frontal direct solver is the state of the art for the direct solution of linear sy...
The multi-frontal direct solver is the state of the art for the direct solution of linear systems. T...
We focus on two and three-dimensional isogeometric finite element method computations with tensor pr...
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 present a multi-frontal direct solver for two dimensional isogeometric finite element method simu...
AbstractIn this paper we present a theoretical proof of linear computational cost and complexity for...
AbstractThis paper introduces a grammar-based model for developing a multi-thread multi-frontal para...
In this article we introduce a fast iterative solver for sparse matrices arising from the finite ele...
AbstractThe article is an in-depth comparison of numerical solvers and corresponding solution pro- c...
In this paper we present a multi-frontal direct solver algorithm for one and two dimensional isogeom...
This paper introduces a grammar-based model for developing a multi-thread multi-frontal parallel dir...
Key words: finite element method, multifrontal solver, load balancing We work on direct methods to s...
In this paper we study how the use of a more continuous set of basis functions affects the cost of s...
In this paper we study how the use of a more continuous set of basis functions affects the cost of s...