Space-time domain decomposition method for scalar conservation laws
S. Doucoure (Institute of Mathematics University of Neuch\^atel, CH-2009 (Switzerland), [email protected])
TL;DR
This paper introduces a space-time domain decomposition method for scalar conservation laws, providing convergence analysis and numerical comparisons using a finite element formulation to improve solution efficiency and accuracy.
Contribution
It presents a novel space-time domain decomposition algorithm with convergence estimates and numerical validation for scalar conservation laws.
Findings
Convergence estimates for the proposed method
Numerical comparison of STILS solution and domain decomposition form
Enhanced understanding of space-time methods for conservation laws
Abstract
The Space-Time Integrated Least-Squares (STILS) method is considered to analyze a space-time domain decomposition algorithm for scalar conservation laws. Continuous and discrete convergence estimates are given. Next using a time-marching finite element formulation, the STILS solution and its domain decomposition form are numerically compared.
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Taxonomy
TopicsAdvanced Numerical Methods in Computational Mathematics · Computational Fluid Dynamics and Aerodynamics · Fluid Dynamics and Turbulent Flows