Alternative formulations of the Laplace transform boundary element (LTBE) numerical method for the solution of diffusion-type equations

Conference · Sun Mar 01 04:00:00 EST 1992

OSTI ID:6901567

Moridis, G

The Laplace Transform Boundary Element (LTBE) method is a recently introduced numerical method, and has been used for the solution of diffusion-type PDEs. It completely eliminates the time dependency of the problem and the need for time discretization, yielding solutions numerical in space and semi-analytical in time. In LTBE solutions are obtained in the Laplace spare, and are then inverted numerically to yield the solution in time. The Stehfest and the DeHoog formulations of LTBE, based on two different inversion algorithms, are investigated. Both formulations produce comparable, extremely accurate solutions.

• Research Organization: Lawrence Berkeley Lab., CA (United States)
• Sponsoring Organization: DOE; USDOE, Washington, DC (United States)
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 6901567
• Report Number(s): LBL-32021; CONF-920664--2; ON: DE92041172
• Country of Publication: United States
• Language: English

Related Subjects

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99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
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DIFFERENTIAL EQUATIONS
ENVIRONMENTAL TRANSPORT
EQUATIONS
FLUID FLOW
GROUND WATER
HYDROGEN COMPOUNDS
LAPLACE EQUATION
MASS TRANSFER
MATHEMATICAL MODELS
NUMERICAL SOLUTION
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POLLUTANTS
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