English

Third-order triangular finite elements for waveguiding problems

Mathematical Physics 2010-03-30 v1 math.MP

Abstract

Explicit relations of matrices for two-dimensional finite element method with third-order triangular elements are given. They are more simple than relations presented in other works and could be easily implemented in new algorithms for both isotropic and anisotropic materials. Numerical examples are given comparatively using second-order and third-order triangular elements for problems of wave propagation in rectangular waveguides which have analytic solutions.

Keywords

Cite

@article{arxiv.1003.5609,
  title  = {Third-order triangular finite elements for waveguiding problems},
  author = {E. Cojocaru},
  journal= {arXiv preprint arXiv:1003.5609},
  year   = {2010}
}

Comments

12 pages, 2 figures

R2 v1 2026-06-21T15:04:02.795Z