A mixed hp FEM for the approximation of fourth-order singularly perturbed problems on smooth domains
Date
2019ISSN
1098-2426Source
Numerical Methods for Partial Differential EquationsVolume
35Issue
1Pages
114-127Google Scholar check
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We consider fourth-order singularly perturbed problems posed on smooth domains and the approximation of their solution by a mixed Finite Element Method on the so-called Spectral Boundary Layer Mesh. We show that the method converges uniformly, with respect to the singular perturbation parameter, at an exponential rate when the error is measured in the energy norm. Numerical examples illustrate our theoretical findings.