Spectral methods for hyperbolic problems
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. VII: partial differential equations
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
SIAM Journal on Numerical Analysis
Nodal high-order methods on unstructured grids
Journal of Computational Physics
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A high-order discontinuous Galerkin finite element method, on triangular elements, is used to model piezoelectric systems. Non-destructive testing problems are studied. In particular, flex circuit transducer designs which can be used to obtain information about the surroundings. The focus is to look at simple transducer designs, where the system reduces to a two-dimensional plane strain problem or a one-dimensional longitudinal strain problem. Numerical modulations are compared to analytical/exact solutions obtained from a longitudinal strain model, in both time and frequency domains.