Výsledky vyhledávání - "Numerical methods for eigenvalue problems for boundary value problems involving PDEs"

Adaptive Finite Element Approximations of the First Eigenpair Associated with \({p}\)-Laplacian: Adaptive finite element approximations of the first eigenpair associated with \(p\)-Laplacian

Autoři: Guanglian Li Jing Li Julie Merten a další

Zdroj: SIAM Journal on Scientific Computing. 47:A374-A402

Témata: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, convergence, Error bounds for boundary value problems involving PDEs, 65N12, 65N25, 65N30, 65N50, 35P30, p-Laplacian, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, adaptive finite element method, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, \(p\)-Laplacian, FOS: Mathematics, Mathematics - Numerical Analysis, Quasilinear elliptic equations with \(p\)-Laplacian, first eigenvalue, a posteriori error estimator

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2402.06889
https://zbmath.org/7988245
https://doi.org/10.1137/24m1637052
https://hdl.handle.net/11370/38fde517-5607-4324-a94f-59f28f4250e0
https://doi.org/10.1137/24M1637052
https://research.rug.nl/en/publications/38fde517-5607-4324-a94f-59f28f4250e0

A Scalable Two-Level Domain Decomposition Eigensolver for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains: A scalable two-level domain decomposition eigensolver for periodic Schrödinger eigenstates in anisotropically expanding domains

Autoři: Lambert Theisen Benjamin Stamm

Zdroj: SIAM Journal on Scientific Computing. 46:A3067-A3093

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, FOS: Computer and information sciences, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Iterative numerical methods for linear systems, Multigrid methods, domain decomposition for boundary value problems involving PDEs, finite element method, Schrödinger equation, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Numerical solution of discretized equations for boundary value problems involving PDEs, coarse spaces, Computational Engineering, Finance, and Science (cs.CE), domain decomposition, preconditioning, FOS: Mathematics, iterative methods, 65N25, 65F15, 65N30, 65F10, 65N22, 65N55, 65F08, Preconditioners for iterative methods, Mathematics - Numerical Analysis, Computer Science - Computational Engineering, Finance, and Science

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2311.08757

An Augmented Two-Scale Finite Element Method for Eigenvalue Problems: An augmented two-scale finite element method for eigenvalue problems

Autoři: Dai, Xiaoying Du, Yunyun Liu, Fang a další

Zdroj: Communications on Applied Mathematics and Computation. 7:663-688

Témata: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, two-scale, Error bounds for boundary value problems involving PDEs, finite element, augmented subspace method, partial differential equation, eigenvalue problem, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8034294
https://doi.org/10.1007/s42967-024-00375-0

A Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators: A two-level block preconditioned Jacobi-Davidson method for multiple and clustered eigenvalues of elliptic operators

Autoři: Qigang Liang Wei Wang Xuejun Xu

Zdroj: SIAM Journal on Numerical Analysis. 62:998-1019

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Multigrid methods, domain decomposition for boundary value problems involving PDEs, finite element discretization, multiple and clustered eigenvalues, Rate of convergence, degree of approximation, Parallel numerical computation, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, PDE eigenvalue problems, preconditioned Jacobi-Davidson method, overlapping domain decomposition, FOS: Mathematics, Preconditioners for iterative methods, Mathematics - Numerical Analysis, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2203.06327

Tensor Neural Network and Its Numerical Integration: Tensor neural network and its numerical integration

Autoři: Wang, Yifan Xie, Hehu Jin, Pengzhan

Zdroj: Journal of Computational Mathematics. 42:1714-1742

Témata: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, fixed quadrature points, 02 engineering and technology, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, high-dimensional eigenvalue problem, machine learning, numerical integration, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, Acceleration of convergence in numerical analysis, tensor neural network, 65N30, 65N25, 65L15, 65B99

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2207.02754

Spectral Galerkin Approximation and Error Analysis Based on a Mixed Scheme for Fourth‐Order Problems in Complex Regions: Spectral Galerkin approximation and error analysis based on a mixed scheme for fourth-order problems in complex regions

Autoři: Jihui Zheng Jing An

Zdroj: Numerical Methods for Partial Differential Equations. 41

Témata: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Variational methods applied to PDEs, Error bounds for boundary value problems involving PDEs, complex regions, Boundary value problems for PDEs of mixed type, error estimation, fourth-order problems, Spectral, collocation and related methods for boundary value problems involving PDEs, mixed formulation, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, spectral-Galerkin approximation, Higher-order elliptic equations

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8005891
https://doi.org/10.1002/num.23154

Symmetrized Two-Scale Finite Element Discretizations for Partial Differential Equations with Symmetric Solutions: Symmetrized two-scale finite element discretizations for partial differential equations with symmetric solutions

Autoři: Pengyu Hou Fang Liu Aihui Zhou

Zdroj: Computational Methods in Applied Mathematics. 24:887-908

Témata: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, symmetric, two-scale, Error bounds for boundary value problems involving PDEs, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, 01 natural sciences, 65N15, 65N25, 65N30, 65N50, finite element, partial differential equation, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, postprocessed

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2205.15524

Computing eigenvalues of the Laplacian on rough domains

Autoři: Rösler, Frank Stepanenko, Alexei

Zdroj: Mathematics of Computation. 93:111-161

Témata: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, finite element method, eigenvalues, Elliptic operators and their generalizations, Estimates of eigenvalues in context of PDEs, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 35P15, 65N25, 01 natural sciences, Mathematics - Spectral Theory, Fractals, Mathematics - Analysis of PDEs, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Spectral Theory (math.SP), Analysis of PDEs (math.AP)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2104.09444

Eigenvalue analysis and applications of the Legendre dual-Petrov-Galerkin methods for initial value problems

Autoři: Desong Kong Jie Shen Li-Lian Wang a další

Zdroj: Advances in Computational Mathematics. 50

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Asymptotic distributions of eigenvalues in context of PDEs, eigenvalue distributions, spectral method in time, QZ decomposition, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, matrix diagonalisation, 01 natural sciences, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), KdV equations (Korteweg-de Vries equations), Bessel and generalised Bessel polynomials, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, 65M70, 65L15, 65F15, 33C45, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Mathematics - Numerical Analysis, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Legendre dual Petrov-Galerkin methods

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2211.10599
https://zbmath.org/7932062
https://doi.org/10.1007/s10444-024-10190-z

A Quasi-Optimal Factorization Preconditioner for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains: A quasi-optimal factorization preconditioner for periodic Schrödinger eigenstates in anisotropically expanding domains

Autoři: Benjamin Stamm Lambert Theisen

Zdroj: SIAM Journal on Numerical Analysis. 60:2508-2537

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, FOS: Computer and information sciences, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, preconditioner, iterative eigenvalue solvers, Asymptotic behavior of solutions to PDEs, factorization principle, directional homogenization, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Homogenization in context of PDEs, PDEs in media with periodic structure, 01 natural sciences, asymptotic eigenvalue analysis, Computational Engineering, Finance, and Science (cs.CE), periodic Schrödinger equation, FOS: Mathematics, Mathematics - Numerical Analysis, 65N25, 65F15, 65N30, 35B27, 35B40, 0101 mathematics, Computer Science - Computational Engineering, Finance, and Science

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2110.14982

Adaptive mixed virtual element method for the fourth-order singularly perturbed problem

Autoři: Meng, Jian Qian, Xu Qiu, Jiali a další

Zdroj: Journal of Computational Physics. 524:113738

Témata: a posteriori error estimates, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Error bounds for boundary value problems involving PDEs, adaptive algorithm, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, fourth-order singularly perturbed (eigenvalue) problems, boundary layers, mixed virtual element method

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7996150
https://doi.org/10.1016/j.jcp.2025.113738

Generalized Multiscale Finite Element Method for discrete network (graph) models: Generalized multiscale finite element method for discrete network (graph) models

Autoři: Maria Vasilyeva

Zdroj: Journal of Computational and Applied Mathematics. 457:116275

Témata: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Applications of graph theory, Random graphs (graph-theoretic aspects), Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, PDEs on graphs and networks (ramified or polygonal spaces), 01 natural sciences, discrete network model, graph upscaling, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, multiscale method, FOS: Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, GMsFEM, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2404.16554
https://zbmath.org/7958813
https://doi.org/10.1016/j.cam.2024.116275

A front-tracking immersed-boundary framework for simulating Lagrangian melting problems

Autoři: Kevin Zhong Christopher J. Howland Detlef Lohse a další

Zdroj: Journal of Computational Physics. 525:113762

Témata: Stefan problems, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, fluid-solid interaction, phase change, multiphase flow, one-fluid model, eulerian-Lagrangian, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, turbulent flows, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Boundary element methods for initial value and initial-boundary value problems involving PDEs, immersed boundary method, Boundary element methods applied to problems in fluid mechanics, meshing, heat transfer

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2409.20244
https://zbmath.org/8021068
https://doi.org/10.1016/j.jcp.2025.113762

A simple tool for the optimization of 1D phononic and photonic bandgap filters

Autoři: Prasanna Salasiya Bojan B. Guzina

Zdroj: Journal of Computational Physics. 524:113723

Témata: quadratic eigenvalue problem, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Scattering theory, inverse scattering involving ordinary differential operators, filter design, photonics, genetic algorithm, FOS: Physical sciences, Computational Physics (physics.comp-ph), phononics, Bloch waves, Physics - Computational Physics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2412.02037

A semi-definite optimization method for maximizing the shared band gap of topological photonic crystals

Autoři: Kao, Chiu-Yen Lin, Junshan Osting, Braxton

Zdroj: Journal of Computational Physics. 521:113538

Témata: periodic structure, Numerical optimization and variational techniques, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, FOS: Physical sciences, General topics in linear spectral theory for PDEs, PDE constrained optimization (numerical aspects), 01 natural sciences, topological photonic crystal, spectral bandgap, Optimization and Control (math.OC), 0103 physical sciences, FOS: Mathematics, Semidefinite programming, Waves and radiation in optics and electromagnetic theory, optimal design, 0101 mathematics, PDEs in connection with optics and electromagnetic theory, Mathematics - Optimization and Control, Variational methods for eigenvalues of operators, Physics - Optics, Optics (physics.optics)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2407.19699

ARMS: Adding and removing markers on splines for high-order general interface tracking under the MARS framework: ARMS: adding and removing markers on splines for high-order general interface tracking under the MARS framework

Autoři: Difei Hu Kaiyi Liang Linjie Ying a další

Zdroj: Journal of Computational Physics. 521:113574

Témata: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, adding and removing markers on splines (ARMS), general interface tracking, mapping and adjusting regular semianalytic sets (MARS), mean curvature flows, Yin sets, Stefan problem, geometric partial differential equations, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Numerical computation using splines

Popis souboru: application/xml

An Explicit Exponential Integrator Based on Faber Polynomials and its Application to Seismic Wave Modeling: An explicit exponential integrator based on Faber polynomials and its application to seismic wave modeling

Autoři: Fernando V. Ravelo Pedro S. Peixoto Martin Schreiber

Zdroj: Journal of Scientific Computing. 98

Témata: Finite difference methods for boundary value problems involving PDEs, Faber polynomial, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Error bounds for boundary value problems involving PDEs, Numerical solution of discretized equations for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), absorbing boundaries, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, exponential integrator, eigenvalue distribution, Galactic and stellar structure, wave equation, PDEs in connection with astronomy and astrophysics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7788954
https://doi.org/10.1007/s10915-023-02413-0

Inverse norm estimation of perturbed Laplace operators and corresponding eigenvalue problems

Autoři: Kouta Sekine Kazuaki Tanaka Shin'ichi Oishi

Zdroj: Computers & Mathematics with Applications. 106:18-26

Témata: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Estimates of eigenvalues in context of PDEs, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, computer-assisted proofs, eigenvalue evaluation, 01 natural sciences, Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathematics - Spectral Theory, Mathematics - Analysis of PDEs, Boundary value problems for second-order elliptic equations, system of partial differential equations, Nonlinear boundary value problems for linear elliptic equations, norm of inverse operators, FOS: Mathematics, Mathematics - Numerical Analysis, rigorous numerical computations, 0101 mathematics, Spectral Theory (math.SP), Analysis of PDEs (math.AP), 65G20, 65N30, 35J25

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/1910.02200

A Priori Error Analysis of Linear and Nonlinear Periodic Schrödinger Equations with Analytic Potentials: A priori error analysis of linear and nonlinear periodic Schrödinger equations with analytic potentials

Autoři: Cancès, Eric Kemlin, Gaspard Levitt, Antoine

Přispěvatelé: Cancès, Eric Kemlin, Gaspard Levitt, Antoine

Zdroj: Journal of Scientific Computing. 98

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, eigenvalue problems, NLS equations (nonlinear Schrödinger equations), planewave discretization, Analyticity in context of PDEs, Schrödinger equation, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Numerical Analysis (math.NA), [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Nonlinear elliptic equations, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, 01 natural sciences, Blow-up in context of PDEs, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Stability in context of PDEs, PDEs in connection with statistical mechanics, Computational density functional analysis in statistical mechanics

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/abs/2206.04954
https://inria.hal.science/hal-03692851v3/document
https://inria.hal.science/hal-03692851v3
https://doi.org/10.1007/s10915-023-02421-0

MFEM: A modular finite element methods library: MFEM: a modular finite element methods library

Autoři: Robert Anderson Julian Andrej Andrew Barker a další

Přispěvatelé: Robert Anderson Julian Andrej Andrew Barker a další

Zdroj: Computers & Mathematics with Applications. 81:42-74

Témata: Finite element methods, FOS: Computer and information sciences, Multigrid methods, domain decomposition for boundary value problems involving PDEs, Finite element methods applied to problems in solid mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, 01 natural sciences, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, High-order methods, Numerical algorithms for specific classes of architectures, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, FOS: Mathematics, finite element methods, numerical PDEs, Mathematics - Numerical Analysis, 0101 mathematics, High-performance computing, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Open-source scientific software, matrix-free algorithms, high-performance computing, Parallel numerical computation, Numerical Analysis (math.NA), Software, source code, etc. for problems pertaining to numerical analysis, Matrix-free algorithms, high-order methods, Computer Science - Mathematical Software, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, open-source scientific software, Numerical PDEs, Mathematical Software (cs.MS), Finite element methods applied to problems in fluid mechanics

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://www.sciencedirect.com/science/article/am/pii/S0898122120302583
http://arxiv.org/abs/1911.09220
https://zbmath.org/7288706
https://doi.org/10.1016/j.camwa.2020.06.009
https://ui.adsabs.harvard.edu/abs/2019arXiv191109220A/abstract
https://repository.tudelft.nl/islandora/object/uuid%3A553103d4-1337-44a3-9638-47ff85dbd5d1
http://export.arxiv.org/pdf/1911.09220
http://doi.org/10.1016/j.camwa.2020.06.009
https://dblp.uni-trier.de/db/journals/corr/corr1911.html#abs-1911-09220
https://arxiv.org/abs/1911.09220
http://resolver.tudelft.nl/uuid:553103d4-1337-44a3-9638-47ff85dbd5d1