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arXiv · 1805.04198

A Multiscale Domain Decomposition Algorithm For Boundary Value Problems For Eikonal Equations

Lindsay Martin·Richard Tsai
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Abstract

In this paper, we present a new multiscale domain decomposition algorithm for computing solutions of static Eikonal equations. The new method is an iterative two-scale method that uses a parareal-like update scheme in combination with standard Eikonal solvers. The purpose of the two scales is to accelerate convergence and maintain accuracy. We adapt a weighted version of the parareal method for stability, and the optimal weights are studied via a model problem. Numerical examples are given to demonstrate the method.

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Lindsay Martin, Richard Tsai. 2018-05-10. A Multiscale Domain Decomposition Algorithm For Boundary Value Problems For Eikonal Equations. https://arxiv.org/abs/1805.04198

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