A single-step high-order implicit time integration scheme for the solution of transient as well
as wave propagation problems is presented. It is constructed from the Padé expansion of the …

Local time-stepping methods permit to overcome the severe stability constraint on explicit
methods caused by local mesh refinement without sacrificing explicitness. Diaz and Grote …

We present new and efficient quadrature rules for computing the stiffness matrices of mass-
lumped tetrahedral elements for wave propagation modeling. These quadrature rules allow …

When solving the wave equation with finite elements, mass lumping allows for explicit time
stepping, avoiding the cost of a lower-upper decomposition of the large sparse mass matrix …

While implicit Runge–Kutta (RK) methods possess high order accuracy and important
stability properties, implementation difficulties and the high expense of solving the coupled …

In this paper we investigate the use of a mass lumped fully explicit time-stepping scheme for
the discretization of the wave equation with underlying material parameters that vary at …

In this work, we present the construction of two distinct finite element approaches to solve
the porous medium equation (PME). In the first approach, we transform the PME to a log …

In this work, we consider the efficient implementation of finite element approximations for
porous media, poroelasticity, and wave propagation problems. This is conducted by using …

In this paper, we propose a spectral element method (SEM) based on unstructured
tetrahedral grids for direct current (dc) resistivity modelling. Unlike the tensor-product of 1-D …

The immersed finite element-finite difference (IFED) method is a computational approach to
modeling interactions between a fluid and an immersed structure. The IFED method uses a …