Convergence analysis of non-conforming trigonometric finite wave elements

DOI10.1016/J.CAM.2009.08.042zbMath1194.78006OpenAlexW1990030075MaRDI QIDQ975678

B. Heubeck, Christoph Pflaum

Publication date: 10 June 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.08.042

zbMATH Keywords

wave equationnon-conforming finite elementsHelmholtz's equationhigh wave numberStrang's lemmacomputational opticsdistributed feedback laseroptical waveguide structuretrigonometric finite wave elements

Mathematics Subject Classification ID

Wave equation (35L05) Geometric optics (78A05)

Cites Work

• The partition of unity finite element method: basic theory and applications
• A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime
• Computational aspects of the ultra-weak variational formulation
• A least-squares method for the Helmholtz equation
• Numerical treatment of partial differential equations. Revised translation of the 3rd German edition of `Numerische Behandlung partieller Differentialgleichungen' by Martin Stynes.
• SHORT WAVE MODELLING USING SPECIAL FINITE ELEMENTS
• New Finite Elements for Large-Scale Simulation of Optical Waves
• Robust Convergence of Multilevel Algorithms for Convection-Diffusion Equations
• A Fast Algorithm for the Electromagnetic Scattering from a Large Cavity

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