Investigation of the moving finite element method as proposed by A. J. Wathen

Technical Report · Wed Feb 26 04:00:00 EST 1986

OSTI ID:5934471

Sincovec, R F; Aslam, S

The Moving Finite Element (MFE) method is investigated for solving non-linear Partial Differential Equations (PDE's) in one dimension with particular emphasis on equations that develop steep fronts and shocks. The MFE method allows the computational finite element mesh to continiously move and adjust with time in order to be able to resolve such sharp features. Degenercies arising from lack of curvature and element folding can lead to an indeterminate system of MFE equations. Two methods for handling these degenercies are explored. One requires the use of penalty functions while the other provides a simple scheme for treating such degenercies. Implicit and explicit time stepping procedures for solving the MFE equations are investigated. For systems of equations, use of one moving mesh for all components and separate moving mesh for each component is explored. 5 refs., 23 figs.

• Research Organization: Colorado Univ., Colorado Springs (USA). Dept. of Computer Science
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 5934471
• Report Number(s): UCRL-15793; ON: DE86009685
• Country of Publication: United States
• Language: English

Related Subjects

658000* -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
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FINITE ELEMENT METHOD
MAXWELL EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
WAVE EQUATIONS