A fast solver for spectral elements applied to fractional differential equations using hierarchical matrix approximation
Sign Up to like & getrecommendations! Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2020.113053
Abstract: Abstract We develop a fast solver for the spectral element method (SEM) applied to the two-sided fractional diffusion equation on uniform, geometric and graded meshes. By approximating the singular kernel with a degenerate kernel we… read more here.
Keywords: matrix approximation; solver spectral; approximation; fast solver ... See more keywords
Fast solver for uncertainty EM scattering problems by the perturbed-based MLFMA
Sign Up to like & getrecommendations! Published in 2021 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2020.10.020
Abstract: Abstract A novel fast algorithm is proposed to analyze the EM scattering from electrically large conducting targets with varying geometrical shapes. Firstly, the target surface can be constructed with several control points by using the… read more here.
Keywords: uncertainty scattering; fast solver; problems perturbed; scattering problems ... See more keywords
On the Derivation of a Fast Solver for Nonlinear Systems of Equations Utilizing Frozen Substeps with Applications
Sign Up to like & getrecommendations! Published in 2025 at "Axioms"
DOI: 10.3390/axioms14020077
Abstract: In this manuscript, we propose a multi-step framework for solving nonlinear systems of algebraic equations. To improve the solver’s efficiency, the Jacobian matrix is held constant during the second sub-step, while a specialized strategy is… read more here.
Keywords: systems equations; fast solver; nonlinear systems; derivation fast ... See more keywords