Bernstein–Bézier based finite elements for efficient solution of short wave problems
Sign Up to like & getrecommendations! Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2018.07.040
Abstract: Abstract In this work, the Bernstein–Bezier Finite Element Method (BBFEM) is implemented to solve short wave problems governed by the Helmholtz equation on unstructured triangular mesh grids. As for the hierarchical Finite Element (FE) approach,… read more here.
Keywords: short wave; finite element; mesh grids; bernstein zier ... See more keywords
NLS approximation for wavepackets in periodic cubically nonlinear wave problems in ℝd
Sign Up to like & getrecommendations! Published in 2018 at "Applicable Analysis"
DOI: 10.1080/00036811.2018.1544620
Abstract: ABSTRACT The dynamics of single carrier wavepackets in nonlinear wave problems over periodic structures can be often formally approximated by the constant coefficient nonlinear Schrödinger equation as an effective model for the wavepacket envelope. We… read more here.
Keywords: periodic coefficients; approximation; nls approximation; approximation wavepackets ... See more keywords
Application of POD and PGD for Efficient Parameter Sweeping in Frequency-Domain Full-Wave Problems
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Magnetics"
DOI: 10.1109/tmag.2019.2952312
Abstract: Full-wave solutions of Maxwell’s equations defined on a wide-range parametric space can be necessary for modeling and design of high-frequency electronic systems. Model order reduction (MOR) techniques can be used to develop efficient solvers for… read more here.
Keywords: full wave; parameter sweeping; frequency; domain ... See more keywords
An Iterative Parallel Solver in GPU Applied to Frequency Domain Linear Water Wave Problems by the Boundary Element Method
Sign Up to like & getrecommendations! Published in 2018 at "Frontiers in Built Environment"
DOI: 10.3389/fbuil.2018.00069
Abstract: In this paper the implementation of an iterative solver based on the Generalized Minimum Residual Method (GMRES) with complex-valued coefficients is explored, with application to the Boundary Element Method (BEM). The solver is designed to… read more here.
Keywords: solver; linear water; method; wave problems ... See more keywords
A Novel Approach for the Approximate Solution of Wave Problems in Multi-Dimensional Orders with Computational Applications
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11120665
Abstract: The main goal of this paper is to introduce a new scheme, known as the Aboodh homotopy integral transform method (AHITM), for the approximate solution of wave problems in multi-dimensional orders. The Aboodh integral transform… read more here.
Keywords: solution wave; problems multi; approximate solution; solution ... See more keywords