# Penalization approach for mixed hyperbolic systems with constant coefficients satisfying a Uniform Lopatinski Condition

## TL;DR

This paper introduces a systematic penalization method to approximate solutions of mixed hyperbolic systems with constant coefficients that satisfy a Uniform Lopatinski Condition, enhancing solution accuracy and computational efficiency.

## Contribution

The paper presents a new explicit penalization approach for mixed hyperbolic systems, providing a systematic framework for approximation under the Uniform Lopatinski Condition.

## Key findings

- The penalization method effectively approximates solutions of the systems.
- The approach is explicit and systematic, improving computational implementation.
- It applies specifically to systems satisfying the Uniform Lopatinski Condition.

## Abstract

In this paper, we describe a new, systematic and explicit way of approximating solutions of mixed hyperbolic systems with constant coefficients satisfying a Uniform Lopatinski Condition via different Penalization approaches.