The tensor contraction structure for the computation of the element tensor AT obtained in Chapter 8,enables not only the construction of a compiler for variational forms,but an optimizing compiler.For typical variational forms,the reference tensor A0 has significant structure that allows the element tensor AT to be computed on an arbitrary cell T at a lower computational cost
In this paper, we discuss how to efficiently evaluate and assemble general finite element variationa...
International audienceMany numerical algorithms are naturally expressed as operations on tensors (i....
Abstract. Complex tensor contraction expressions arise in accurate electronic structure models in qu...
The tensor contraction structure for the computation of the element tensor AT obtained in Chapter 8,...
The finite element method may be viewed as a method for forming a discrete linear system 4064 AU = b...
In Chapter 6, we saw that an important step in the assembly of matrices and vectors for the 4523 dis...
We examine aspects of the computation of finite element matrices and vectors which are made possible...
We investigate the compilation of general multilinear variational forms over affines simplices and p...
Abstract. We present a topological framework for ¯nding low-°op algorithms for evalu-ating element s...
This chapter addresses the conventional run-time quadrature approach for the numerical integration o...
In finite element calculations, the integral forms are usually evaluated using nested loops over ele...
We examine the effect of using complexity-reducing relations [Kirby et al. 2006] to generate optimiz...
As a key step towards a complete automation of the finite element method, we present a new algorithm...
In Chapter 8, we presented a framework for efficient evaluation of multilinear forms based on 7311 e...
We present a topological framework for finding low-flop algorithms for evaluating element stiffness ...
In this paper, we discuss how to efficiently evaluate and assemble general finite element variationa...
International audienceMany numerical algorithms are naturally expressed as operations on tensors (i....
Abstract. Complex tensor contraction expressions arise in accurate electronic structure models in qu...
The tensor contraction structure for the computation of the element tensor AT obtained in Chapter 8,...
The finite element method may be viewed as a method for forming a discrete linear system 4064 AU = b...
In Chapter 6, we saw that an important step in the assembly of matrices and vectors for the 4523 dis...
We examine aspects of the computation of finite element matrices and vectors which are made possible...
We investigate the compilation of general multilinear variational forms over affines simplices and p...
Abstract. We present a topological framework for ¯nding low-°op algorithms for evalu-ating element s...
This chapter addresses the conventional run-time quadrature approach for the numerical integration o...
In finite element calculations, the integral forms are usually evaluated using nested loops over ele...
We examine the effect of using complexity-reducing relations [Kirby et al. 2006] to generate optimiz...
As a key step towards a complete automation of the finite element method, we present a new algorithm...
In Chapter 8, we presented a framework for efficient evaluation of multilinear forms based on 7311 e...
We present a topological framework for finding low-flop algorithms for evaluating element stiffness ...
In this paper, we discuss how to efficiently evaluate and assemble general finite element variationa...
International audienceMany numerical algorithms are naturally expressed as operations on tensors (i....
Abstract. Complex tensor contraction expressions arise in accurate electronic structure models in qu...