Abstract
In the present chapter, the principles of the boundary element methods for
phase change problems over domains with fixed boundaries are developed briefly.
The details are developed starting from the 1-D diffusion problems over domains
with fixed boundaries subjected to different types of boundary and initial conditions.
In these problems, a new criterion has emerged: the existence of a moving
boundary, which requires special treatment when solving overall problems.
Keywords: Boundary elements methods, phase change problems, moving boundary problems, Stefan condition.
Related Books
Uncertain Analysis in Finite Elements Models
Fractional Calculus: New Applications in Understanding Nonlinear Phenomena
On Generalized Growth rates of Integer Translated Entire and Meromorphic Functions
Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering
Introductory Statistics
Markov Chain Process (Theory and Cases)
Blockchain Applications in Cybersecurity Solutions
Advanced Mathematical Applications in Data Science
Advanced Calculus - Fundamentals of Mathematics
An Introduction to Sobolev Spaces