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Local Discontinuous Galerkin Method for the Two-Dimensional Heat Equation
ZHANG Rong-pei, WANG Rong-rong
The local discontinuous Galerkin method for the two-dimensional equation was introduced. By introducing the auxiliary variable, the second derivative heat conduction equation equations were rewritten into first-order partial differential equations, then the discontinuous Galerkin method was applied to the system. Finally the method yields ordinary differential equations systems. The explicit method was used for the time discretization. The numerical experiments were presented to verify the accuracy of the method.
2012, 32 (2):
88-90.
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