| Abstract: |
| The weak Galerkin finite element methods are non-standard finite element methods. The newly defined weak functions are considered as the approximate functions, which have two parts, inner and boundary, on each element. Weak derivatives are correspondingly defined. Appropriate spaces should be used when no penalty term is employed. We use the Arbogast-Correa element to define the weak gradient and obtain a penalty-free weak Galerkin scheme, which is then employed to solve problems related to Stokes flow, linear elasticity, and poroelasticity. |
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