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A moving Petrov‐Galerkin method for transport equations
Author(s) -
Herbst B. M.,
Schoomnbie S. W.,
Mitchell A. R.
Publication year - 1982
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620180905
Subject(s) - petrov–galerkin method , piecewise , grid , piecewise linear function , mathematics , galerkin method , hermite polynomials , mathematical analysis , mathematical optimization , finite element method , geometry , engineering , structural engineering
A time‐dependent transport equation is solved numerically by using a Petrov‐Galerkin technique on a time‐dependent grid. A piecewise linear trial solution and piecewise Hermite cubic test functions are used. The same method is also applied to a time‐independent problem, in which case it automatically generates a grid in a way which bears some resemblance to certain existing grid‐generation techniques. Several numerical examples are given.