An iterative finite-element collocation method for parabolic problems using domain decomposition

Conference · Wed Jan 01 00:00:00 EST 1992

OSTI ID:6997334

Curran, M C

Advection-dominated flows occur widely in the transport of groundwater contaminants, the movements of fluids in enhanced oil recovery projects, and many other contexts. In numerical models of such flows, adaptive local grid refinement is a conceptually attractive approach for resolving the sharp fronts or layers that tend to characterize the solutions. However, this approach can be difficult to implement in practice. A domain decomposition method developed by Bramble, Ewing, Pasciak, and Schatz, known as the BEPS method, overcomes many of the difficulties. We demonstrate the applicability of the iterative BEPS ideas to finite-element collocation on trial spaces of piecewise Hermite bicubics. The resulting scheme allows one to refine selected parts of a spatial grid without destroying algebraic efficiencies associated with the original coarse grid. We apply the method to two dimensional time-dependent advection-diffusion problems.

• Research Organization: Sandia National Labs., Albuquerque, NM (United States)
• Sponsoring Organization: USDOE; USDOE, Washington, DC (United States)
• DOE Contract Number: AC04-76DP00789
• OSTI ID: 6997334
• Report Number(s): SAND-92-1996C; CONF-9206290-2; ON: DE93002279
• Resource Relation: Conference: 6. international conference on domain decomposition methods in science and engineering, Como (Italy), 14-21 Jun 1992
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
FLUID FLOW
FINITE ELEMENT METHOD
ADVECTION
ALGORITHMS
DIFFUSION
ENHANCED RECOVERY
GROUND WATER
CALCULATION METHODS
HYDROGEN COMPOUNDS
MASS TRANSFER
MATHEMATICAL LOGIC
NUMERICAL SOLUTION
OXYGEN COMPOUNDS
WATER
420400* - Engineering- Heat Transfer & Fluid Flow
990200 - Mathematics & Computers