We present the Unified Form Language (UFL), which is a domain-specific language for
representing weak formulations of partial differential equations with a view to numerical …

In this paper we demonstrate a new technique for deriving discrete adjoint and tangent
linear models of a finite element model. The technique is significantly more efficient and …

Modeling of Resistivity and Acoustic Borehole Logging Measurements Using Finite Element
Methods provides a comprehensive review of different resistivity and sonic logging …

This article is devoted to graphics processing unit (GPU) kernel optimization and
performance analysis of three tensor-product operations arising in finite element methods …

In this paper, we present SEM3D: a 3D high-fidelity numerical earthquake simulator that is
tailored to predict the seismic wave field of complex earthquake scenarios from the fault to …

Parallelization of the finite-element method (FEM) has been contemplated by the scientific
and high-performance computing community for over a decade. Most of the computations in …

Computational Materials Engineering: Achieving High Accuracy and Efficiency in Metals
Processing Simulations describes the most common computer modeling and simulation …

We present an arbitrary-order spectral element method for general-purpose simulation of
non-overturning water waves, described by fully nonlinear potential theory. The method can …

This paper presents an efficient technique for fast generation of sparse systems of linear
equations arising in computational electromagnetics in a finite element method using higher …

The finite element method (FEM) is a widely employed numerical technique for
approximating the solution of partial differential equations (PDEs) in various science and …