Partition of Unity Finite Element Method applied to exterior problems with Perfectly Matched Layers

Time-Domain Finite-Element Simulation of Three-Dimensional Scattering and Radiation Problems Using Perfectly Matched Layers

An effective algorithm to construct perfectly matched layers (PMLs) for truncating time-domain finite-element meshes used in the simulation of three-dimensional (3-D) open-region electromagnetic scattering and radiation problems is presented. Both totaland scattered-field formulations are described. The proposed algorithm is based on the time-domain finite-element solution of the vector wave eq...

An Extension of the Partition of Unity Finite Element Method

Here, we propose an extension of the Partition of Unit Finite Element Method (PUFEM) and a numerical procedure for the solution of J2 plasticity problems. The proposed method is based in the Moving Least Square Approximation (MLSA) and is capable of overcoming singularity problems, in the global shape functions, resulting from the consideration of linear or higher order base functions, in the c...

Partition of Unity Finite Element Method Implementation for Poisson Equation

Partition of Unity Finite Element Method (PUFEM) is a very powerful tool to deal overlapping grids. It is flexible and keeps the global continuity. In this paper, we consider PUFEM for Poisson equation for minimal overlapping grids. We present details of the implementation of Poisson equation in 2D for two overlapping domains using triangular meshes. Department of Mathematical Sciences, Univers...

An Adaptive Finite Element Method with Perfectly Matched Absorbing Layers for the Wave Scattering by Periodic Structures

An adaptive edge element method with perfectly matched absorbing layers for wave scattering by biperiodic structures

An edge element adaptive strategy with error control is developed for wave scattering by biperiodic structures. The unbounded computational domain is truncated to a bounded one by a perfectly matched layer (PML) technique. The PML parameters, such as the thickness of the layer and the medium properties, are determined through sharp a posteriori error estimates. Numerical experiments are present...