Hybrid-Trefftz finite elements are well suited for modeling the response of materials under highly transient loading. Their approximation bases built using functions that satisfy exactly differential equations governing problem. This option embeds relevant physical information into basis and removes well-known sensitivity conventional to high solution gradients short wavelength excitations. Des...

Trefftz Approximations: A Nonasymptotic Homogenization Theory of Periodic Electromagnetic Structures Igor Tsukerman, Vadim Markel Department of Electrical and Computer Engineering, The University of Akron, Akron, OH 44325-3904, USA; Departments of Radiology and Bioengineering and the Graduate Group in Applied Mathematics and Computational Science, University of Pennsylvania, Philadelphia, PA 19...

Recently, the use of special local test functions other than polynomials in Discontinuous Galerkin (DG) approaches has attracted a lot of attention and became known as DG-Trefftz methods. In particular, for the 2D Helmholtz equation plane waves have been used in [10] to derive an Interior Penalty (IP) type Plane Wave DG (PWDG) method and to provide an a priori error analysis of its p-version wi...

Article history: Received 21 July 2013 Accepted 27 October 2013