A methodology for adaptive mesh refinement in optimum shape design problems

Adaptive Mesh Refinement in Electromagnetic Problems

This paper describes an adaptive mesh refinement algorithm for improving the accuracy in the solution of electromagnetic problems in transmission lines. A residual error indicator is used for detecting the refinement zones, and two h-refinement techniques for triangular meshes (the longest edge bisection and the regular split) are applied for increasing the degrees of freedom in the mesh. This ...

Radiation Transport in Adaptive Mesh Refinement : Methodology and Application

Adaptive Mesh Refinement and Superconvergence for Two-Dimensional Interface Problems

Adaptive mesh refinement and the Börgers’ algorithm are combined to generate a body-fitted mesh which can resolve the interface with fine geometric details. Standard linear finite element method based on such body-fitted meshes is applied to the elliptic interface problem and proven to be superclose to the linear interpolation of the exact solution. Based on this superconvergence result, a maxi...

Adaptive Mesh Refinement for Multiscale

plied and theoretical physics is to fully understand and predict the behavior of systems far from thermodynamic equilibrium,1–4 including those systems driven by an external force or experiencing a sudden change in environment (such as pressure or temperature). They also include systems transitioning from one metastable or long-lived state to another. The need to accurately model and numericall...

MiniAMR - A miniapp for Adaptive Mesh Refinement

We present a new implementation of MiniAMR, a miniapp for adaptive mesh refinement (AMR) that mimics commonly found workloads and communication patterns in AMR applications. We obtain significant performance improvements by using new data structures and algorithms. One of our important areas of focus in this work is the use of low-overhead distributed load balancing schemes for octree partition...