Table of contents

Introduction to the X-FEM and Comparison of Approaches used to Satisfy the Interface Conditions

Outline

Problems of Interest

Solid-Liquid Phase Transformations

Boundary Conditions:

Nonlinear Constitutive Law on the Interface

Previous Approaches/ Work

The eXtended Finite Element Method (X-FEM) Approximation - Using Enrichment

Previous Method to Satisfy the Interface Condition - Iterative Procedure

LATIN Method Applied to present problem:

Geometric Representation of Iterative Procedure

Lagrange Multiplier Approach (1D Version)

1D Model Problem

Numerical Results of 1d Problem

PowerPoint Presentation

Slide 16

Slide 17

Conclusions and Future Work