Finite Element Method for Solving the Collective Nuclear Model with Tetrahedral Symmetry

TL;DR

This paper introduces a finite element method (FEM) approach to solve a nuclear collective model with tetrahedral symmetry, providing a new computational scheme and comparing it with previous finite difference results.

Contribution

The paper develops a FEM scheme using Lagrange polynomial shape functions for tetrahedral symmetry in nuclear models, offering an alternative to finite difference methods.

Findings

FEM results align well with finite difference results.

The method effectively handles tetrahedral symmetry in nuclear models.

Provides a new computational approach for elliptic boundary-value problems.

Abstract

We apply a new calculation scheme of a finite element method (FEM) for solving an elliptic boundary-value problem describing a quadrupole vibration collective nuclear model with tetrahedral symmetry. We use of shape functions constructed with interpolation Lagrange polynomials on a triangle finite element grid and compare the FEM results with obtained early by a finite difference method.