Adaptive isogeometric finite element analysis of steady-state groundwater flow

Finite Element Model for Steady-State Rolling Tire Analysis

The paper describes a finite element model for steady state rolling tire analysis. The model, which is improved in comparison to earlier models created by the authors, enables a larger number of analyses to be conducted in less time and with greater accuracy. The descriptions of model structure and model building procedure are given, followed by the algorithm according to which the improvement ...

Correction to "Steady-state saturated groundwater flow modeling with full tensor conductivities using finite differences"

We present a new three-dimensional steady-state saturated groundwater-flow forward-simulator with full conductivity tensors using a nineteen-points block-centered finite-difference method. Hydraulic conductivity tensors are defined at the block interfaces eliminating the need to average conductivity tensors at adjacent blocks to approximate their values at the interfaces. The capabilities of th...

Efficient Steady-State Solution Techniques for Variably Saturated Groundwater Flow

We consider the simulation of steady-state variably saturated groundwater flow using Richards’ equation (RE). The difficulties associated with solving RE numerically are well known. Most discretization approaches for RE lead to nonlinear systems that are large and difficult to solve. The solution of nonlinear systems for steadystate problems can be particularly challenging, since a good initial...

An Eecient Probabilistic Finite Element Method for Stochastic Groundwater Flow

We present an eecient numerical method for solving stochastic porous media ow problems. Single-phase ow with a random conductivity eld is considered in a standard rst-order perturbation expansion framework. The numerical scheme, based on nite element techniques , is computationally more eecient than traditional approaches, because one can work with a much coarser nite element mesh. This is achi...

Adaptive Finite Element Simulation of Steady State Currents at Microdisc Electrodes to a Guaranteed Accuracy