Work

Numerical modeling, analysis, and simulations for the space-time wave equation with velocity initial and final time conditions

Year: 2025

Type: dissertation

Abstract: Two variations of the wave equation are examined in this paper with typical beginning circumstances, the first one match the classical wave equation. The second is a recently suggested space-time vari ational material model where mechanical, thermal, and internal factors interact. It is derived from a thermodynamically consistent Hamilton functional defined across a space time domain. The apparition of a non-standard final time velocity condition in the second order wave equation is a characteristic of this model. We extract and evaluate the wave equation independently, ignoring temperature and internal variables, in order to better grasp the ramifications of the unusual boundary conditions in time. We perform then a Galerkin finite element discretization in time and space for both problem cases. Moreover, we investigate the behavior of these formulations using numerical simulations based on the discretization.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.17565400

Authors: BILONG, DAVID JEAN BAPTISTE, Wick, Thomas

Institutions: African Institute for Mathematical Sciences, African Institute for Mathematical Sciences, Leibniz University Hannover

Language: English

Topic: Thermoelastic and Magnetoelastic Phenomena

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7104569233

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