Correct conditions on the boundary separating subdomains

Abstract

This paper presents definition and solution problem of correct conditions on the boundary, separating subdomains for hyperbolic linear equation systems. The solution algorithm is demonstrated by means of an example system of elastodynamic equations for two spatial variables. Stated approach can be easily expanded on systems of first-order linear hyperbolic equations with random number of spatial variables.

Keywords

• elastodynamic equations
• Riemann problem
• characteristics
• Riemann invariants
• plane waves