We have investigated the use of the adaptive high-order finite-element method (FEM) for
geoelectromagnetic modeling. Because high-order FEM is challenging from the numerical …

The detailed simulation of neutron diffusion problem plays an important role in neutronics,
wherein a high-order method that can be easily implemented is highly desirable, since this …

Computing effective eigenvalues for neutron transport often requires a fine numerical
resolution. The main challenge of such computations is the high memory effort of classical …

Standard and goal-oriented adaptive mesh refinement (AMR) techniques are presented for
the linear Boltzmann transport equation. A posteriori error estimates are employed to drive …

In this dissertation, we develop Adaptive Mesh Refinement (AMR) techniques for the steady-
state multigroup SN neutron transport equation using a higher-order Discontinuous Galerkin …

In this paper, the solution of multi-group neutron/adjoint equation using Finite Element
Method (FEM) for hexagonal and rectangular reactor cores is reported. The spatial …

Lambda modes of a nuclear power reactor have interest in reactor physics since they have
been used to develop modal methods and to study BWR reactor instabilities. An h–p …

In this paper we investigate a goal-oriented adaptive algorithm for the SN equations on
unstructured meshes. The method is based on a dual-weighted residual approach where an …

We present a two-mesh Adaptive Mesh Refinement technique for the SN neutral-particle
transport equation in 2D. A high-order (up to order 4) Discontinuous Galerkin (DG) finite …

Featured Application This work can improve the computational resources employed to
achieve a given accuracy in electromagnetic simulation. Abstract The adaptive mesh …