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2 The Galerkin Finite Element Method Let us define the test functions space [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and we take the trial functions space [V.
SULI, A priori error analysis for the hp-version of the discontinuous Galerkin finite element method for the biharmonic equation, Comput.
Concluding remarks We have developed local discontinuous Galerkin finite element method to solve the Burgers-Fisher equation, which is a combination of the Burgers equation and the Fisher equation.
The Galerkin finite element method has two important futures.
 --, Discontinuous Galerkin finite element methods for second order hyperbolic problems, Comput.
SULI, Stabilization mechanism in discontinuous Galerkin finite element methods, Comput.
A possible numerical method for an efficient solution of such problems is the discontinuous Galerkin finite element method (DGFEM).
 V Thomee, Galerkin Finite Element Methods for Parabolic Problems, Springer-Verlag, Berlin-Heidelberg-New York, 1997.