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Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems
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J. Guzmán
Published/Copyright:
March 1, 2006
We analyze existing discontinuous Galerkin methods on quasi-uniform meshes for singularly perturbed problems. We prove weighted L2 error estimates. We use the weighted estimates to prove L2 error estimates in regions where the solution is smooth. We also prove pointwise estimates in these regions.
Key Words: Discontinuous Galerkin,; singularly perturbed problems
Published Online: 2006-03-01
Published in Print: 2006-03-01
Copyright 2006, Walter de Gruyter
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- Semidefinite and second-order cone optimization approach for the Toeplitz matrix approximation problem
- Distributed optimal control of lambda–omega systems
- Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems
- A posteriori error estimates for adaptive finite element discretizations of boundary control problems
Articles in the same Issue
- Semidefinite and second-order cone optimization approach for the Toeplitz matrix approximation problem
- Distributed optimal control of lambda–omega systems
- Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems
- A posteriori error estimates for adaptive finite element discretizations of boundary control problems
