Work

Hyperbolic relaxation method for elliptic equations

Year: 2018

Type: article

Abstract: We show how the basic idea of parabolic Jacobi relaxation can be modified to obtain a new class of hyperbolic relaxation schemes that are suitable for the solution of elliptic equations. Some of the analytic and numerical properties of hyperbolic relaxation are examined. We describe its implementation as a first order system in a pseudospectral evolution code, demonstrating that certain elliptic equations can be solved within a framework for hyperbolic evolution systems. Applications include various initial data problems in numerical general relativity. In particular we generate initial data for the evolution of a massless scalar field, a single neutron star, and binary neutron star systems.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.98.084044

Authors: Hannes R. Rüter, David Hilditch, Marcus Bugner, Bernd Brügmann

Institutions: Friedrich Schiller University Jena, University of Lisbon

Language: English

Topic: Computational Fluid Dynamics and Aerodynamics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: Deutsche Forschungsgemeinschaft, Fundação para a Ciência e a Tecnologia

Awards: G1844750848, G4606145673, G6987413395