Modeling evolving discontinuities
- Resource Type
- Authors
- Mehdi Nikbakht; Garth N. Wells
- Source
- Automated Solution of Differential Equations by the Finite Element Method ISBN: 9783642230981
- Subject
- Partial differential equation
Computer science
Salient
Finite element approach
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
MathematicsofComputing_NUMERICALANALYSIS
Code (cryptography)
Basis function
Compiler
Classification of discontinuities
computer.software_genre
computer
Algorithm
- Language
We present a framework for solving partial differential equations with discontinuities in the solution across evolving surfaces. The partition-of-unity/extended finite element approach is adopted, 1 and it is demonstrated that such methods can be used in combination with a form compiler to generate equation-specific parts of a program. The automated generation of code makes it straightforward to incorporate discontinuities in formulations involving multiple fields, using both Lagrange and non-Lagrange basis functions. The approach is illustrated through some salient code extracts.