A General Perfectly Matched Layer Model for Hyperbolic-Parabolic Systems

A General Perfectly Matched Layer Model for Hyperbolic-Parabolic Systems

This paper describes a very general absorbing layer model for hyperbolic-parabolic systems of partial differential equations. For linear systems with constant coefficients it is shown that the model possesses the perfect matching property, i.e., it is a perfectly matched layer (PML). The model is applied to two linear systems: a linear wave equation with a viscous damping term and the linearize...

Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well-posedness, and Stability

Since its introduction the Perfectly Matched Layer (PML) has proven to be an accurate and robust method for domain truncation in computational electromagnetics. However, the mathematical analysis of PMLs has been limted to special cases. In particular, the basic question of whether or not a stable PML exists for arbitrary wave propagation problems remains unanswered. In this work we develop gen...

Perfectly Matched Layer (PML) for Computational Electromagnetics

A Perfectly Matched Layer Method for the Navier-Stokes Equations

The Perfectly Matched Layer Method (PML) has found widespread application as a high-accuracy, non-reflecting boundary treatment in many wave propagation simulations. However, in the area of computational fluid dynamics, its application has been mostly limited to the linearized Euler equations. Attempts to apply PML to the nonlinear Euler equations have found a tendency for the method to go unst...

A Perfectly Matched Layer for Peridynamics in Two Dimensions