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This paper describes four by adding a compensation term Stokes equations for solving finite element and finite volume element method , as follows : 1. Introduces triangle add online compensation term solution Stokes equations finite element method, finite element space to take P 1 - P 1 , respectively. simultaneously introduced speed L 2 mode , H 1 mold and pressure L 2 model estimates , and more convergence theorem , super convergence and post-processing performed numerical experiments .2 first a brief introduction to J. Li and ZX Chen \Adv Comput Math 30 (2) :141-152, 2009) a method of text , and the speed of L 2 mode , H 1 mold and pressure L 2 Norm Estimates pressure is not the method test function space , followed by the method is corrected , the pressure also adopted the test function space, then get online to add a new triangle compensation term solution Stokes Equations finite Volume Element Method . new method trial function space is still taking P 1 - P 1 element , space velocity and pressure test functions were taken piecewise constant vectors and piecewise constant function space . Finally original and new methods speed L 2 mode , H 1 mold and pressure L 2 model estimation , super convergence and post-processing performed numerical experiments .3 . introduced rectangular online compensation term solution to add Stokes equations finite element method, finite element space to take Q 1 - Q 1 , respectively. and describes the speed L 2 mode , H 1 mold and pressure L 2 model estimates , while convergence theorem given above , and post-processing SUPERCONVERGENCE the numerical experiments .4 add triangular online compensation term solution Stokes equations finite volume element method based on rectangular construct similar new online finite Volume element Method this method has two sets of speed and pressure function space : trial functions take Q 1 - Q 1 element , space velocity and pressure test functions were taken piecewise constant vectors and piecewise constant function space . Finally speed L 2 mode , H 1 mold and pressure L 2 model estimates , and above convergence theorem , super convergence of numerical experiments and post-processing .
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