Approximation of linear functionals using an hp-adaptive discontinuous Galerkin finite element method
We consider the problem of computing a linear functional of the solution of an elliptic partial differential equation to within a given tolerance. We drive an a posteriori error bound for the linear functional and use this as the basis of an hp-adaptive discontinuous Galerkin finite element algorith...
| Main Authors: | , , |
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| Format: | Report |
| Published: |
Unspecified
2004
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| Summary: | We consider the problem of computing a linear functional of the solution of an elliptic partial differential equation to within a given tolerance. We drive an a posteriori error bound for the linear functional and use this as the basis of an hp-adaptive discontinuous Galerkin finite element algorithm to deliver the functional to within a prescribed error tolerance. |
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