Efficient stress–velocity least-squares finite element formulations for the incompressible Navier–Stokes equations
Sign Up to like & getrecommendations! Published in 2018 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2018.01.043
Abstract: Abstract In this contribution three different mixed least-squares finite element methods (LSFEMs) are investigated with respect to accuracy and efficiency with simultaneous consideration of regular and adaptive meshing strategies. The deliberations are made for the… read more here.
Keywords: finite element; least squares; stress velocity; incompressible navier ... See more keywords
An energy-stable least-squares finite element method for solving the Allen–Cahn equation
Sign Up to like & getrecommendations! Published in 2024 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2024.2402336
Abstract: In this paper, we propose a novel energy-stable least-squares finite element method for solving the Allen–Cahn equation. The given equation can be written as a first-order system by introducing a flux variable. We develop an… read more here.
Keywords: equation; energy stable; least squares; energy ... See more keywords
Least Squares Finite-Difference Time-Domain
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Antennas and Propagation"
DOI: 10.1109/tap.2021.3069576
Abstract: A central least-squares spatial derivative procedure is developed. It provides simple formulas, similar to finite differences, to approximate spatial derivatives. In addition, a least-squares finite-difference time-domain (LS-FDTD) method is formulated for attenuating high-frequency nonphysical modes,… read more here.
Keywords: time; least squares; squares finite; time domain ... See more keywords