Abstract
In the present chapter, the principles of the boundary element methods for
phase change problems over domains with moving boundaries are developed in
brief details. 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 appeared: the existence of
the moving boundary, which requires special treatment when solving overall
problems.
Keywords: Boundary elements methods, moving boundary problems, Stefan condition.
Related Books
Uncertain Analysis in Finite Elements Models
Advanced Calculus - Fundamentals of Mathematics
Advanced Numerical Methods for Complex Environmental Models: Needs and Availability
An Introduction to Sobolev Spaces
An Introduction to Trigonometry and its Applications
Analysis and Optimal Control of Phase-Field Transition System: Fractional Steps Methods
Applied Computational Mathematics in Social Sciences
Calculus: The Logical Extension of Arithmetic
Complex Analyses in Engineering, Science and Technology
Convergence Theorems for Lattice Group-Valued Measures