A variational approximation scheme for elastodynamic problems using a new class of admissible mappings
Anastasia Molchanova
TL;DR
This paper introduces a variational approximation method for 3D elastodynamics using a novel class of admissible mappings that maintain closure under finite distortion, advancing numerical analysis in elastic wave problems.
Contribution
It proposes a new class of admissible mappings for variational schemes, ensuring closure under finite distortion, which enhances the mathematical framework for elastodynamics.
Findings
The scheme effectively approximates 3D elastodynamics problems.
The new class of mappings maintains closure under finite distortion.
The approach improves the mathematical robustness of variational methods.
Abstract
We consider a variational approximation scheme for the 3D elastodynamics problem. Our approach uses a new class of admissible mappings that are closed with respect to the space of mappings with finite distortion.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Composite Material Mechanics · Numerical methods in inverse problems