In Chapter 8, we presented a framework for efficient evaluation of multilinear forms based on 7311 expressing the multilinear form as a special tensor contraction. This allows generation of efficient 7312 low-level code for assembly of a range of multilinear forms
The finite element method may be viewed as a method for forming a discrete linear system 4064 AU = b...
In numerical multilinear algebra important progress has recently been made. It has been recognized t...
In Chapter 6, we saw that an important step in the assembly of matrices and vectors for the 4523 dis...
In Chapter 8, we presented a framework for efficient evaluation of multilinear forms based on 7311 e...
We investigate the compilation of general multilinear variational forms over affines simplices and p...
As a key step towards a complete automation of the finite element method, we present a new algorithm...
We examine the effect of using complexity-reducing relations [Kirby et al. 2006] to generate optimiz...
The tensor contraction structure for the computation of the element tensor AT obtained in Chapter 8,...
This chapter addresses the conventional run-time quadrature approach for the numerical integration o...
We examine aspects of the computation of finite element matrices and vectors which are made possible...
In finite element calculations, the integral forms are usually evaluated using nested loops over ele...
In this paper, we discuss how to efficiently evaluate and assemble general finite element variationa...
At the heart of any finite element simulation is the assembly of matrices and vectors from discrete ...
Abstract. We present a topological framework for ¯nding low-°op algorithms for evalu-ating element s...
Much of the FEniCS software is devoted to the formulation of variational forms (UFL), the discretiza...
The finite element method may be viewed as a method for forming a discrete linear system 4064 AU = b...
In numerical multilinear algebra important progress has recently been made. It has been recognized t...
In Chapter 6, we saw that an important step in the assembly of matrices and vectors for the 4523 dis...
In Chapter 8, we presented a framework for efficient evaluation of multilinear forms based on 7311 e...
We investigate the compilation of general multilinear variational forms over affines simplices and p...
As a key step towards a complete automation of the finite element method, we present a new algorithm...
We examine the effect of using complexity-reducing relations [Kirby et al. 2006] to generate optimiz...
The tensor contraction structure for the computation of the element tensor AT obtained in Chapter 8,...
This chapter addresses the conventional run-time quadrature approach for the numerical integration o...
We examine aspects of the computation of finite element matrices and vectors which are made possible...
In finite element calculations, the integral forms are usually evaluated using nested loops over ele...
In this paper, we discuss how to efficiently evaluate and assemble general finite element variationa...
At the heart of any finite element simulation is the assembly of matrices and vectors from discrete ...
Abstract. We present a topological framework for ¯nding low-°op algorithms for evalu-ating element s...
Much of the FEniCS software is devoted to the formulation of variational forms (UFL), the discretiza...
The finite element method may be viewed as a method for forming a discrete linear system 4064 AU = b...
In numerical multilinear algebra important progress has recently been made. It has been recognized t...
In Chapter 6, we saw that an important step in the assembly of matrices and vectors for the 4523 dis...