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

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

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 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

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

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

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

Solution of boundary eigenvalue problems and IBVP involving a system of PDEs using the successive linearization method.

Autoři: Narayana, M. Siddheshwar, P. G.

Zdroj: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. Dec2023, Vol. 103 Issue 12, p1-20. 20p.

Témata: *BOUNDARY value problems, *PARTIAL differential equations, *INITIAL value problems, *STABILITY of nonlinear systems, *EIGENVALUES

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

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

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

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

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

Numerical approximation of eigenvalues and of Green's operator for an elliptic boundary value problem

Autoři: LANZARA, Flavia

Zdroj: Calcolo. 35:63-92

Témata: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Variational methods for second-order elliptic equations, numerical examples, 0209 industrial biotechnology, intermediate operators, second-order linear elliptic equation, Green function, 0103 physical sciences, eigenvalues, Estimates of eigenvalues in context of PDEs, 02 engineering and technology, 01 natural sciences, Dirichlet problem

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1269900
https://doi.org/10.1007/s100920050009
https://core.ac.uk/display/54262952
https://link.springer.com/article/10.1007/s100920050009

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

The combined effect of numerical integration and approximation of the boundary in the finite element method for eigenvalue problems

Autoři: Alexander Ženíšek Michèle Vanmaele

Zdroj: Numerische Mathematik. 71:253-273

Témata: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, convergence, Boundary value problems for second-order elliptic equations, finite element, piecewise linear approximations, second-order elliptic eigenvalue problems, Estimates of eigenvalues in context of PDEs, eigenfunctions, quadrature formula, Stability and convergence of numerical methods for boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://dl.acm.org/doi/abs/10.1007/s002110050144
https://link.springer.com/article/10.1007/s002110050144
https://biblio.ugent.be/publication/194786
https://core.ac.uk/display/55742081

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 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

On the numerical approximation of some types of nonstandard second-order eigenvalue problems for vector valued functions: On the numerical approximation of some types of nonstandard second-order eigenvalue problems for vector value functions

Autoři: Hennie De Schepper Roger Van Keer

Zdroj: Journal of Computational and Applied Mathematics. 115:151-167

Témata: Finite element methods, Nonstandard coupling conditions, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, convergence, Error bounds for boundary value problems involving PDEs, Applied Mathematics, 0211 other engineering and technologies, nonstandard boundary conditions, Estimates of eigenvalues in context of PDEs, 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, Vector valued functions, vector-valued functions, numerical example, Computational Mathematics, error estimation, second-order elliptic eigenvalue problems, finite element methods, 0101 mathematics, Eigenvalue problems

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0377042799001223
https://biblio.ugent.be/publication/130845
https://dialnet.unirioja.es/servlet/articulo?codigo=700057

A Numerical Method to Verify the Elliptic Eigenvalue Problems Including a Uniqueness Property: A numerical method to verify the elliptic eigenvalue problems including a uniqueness property

Autoři: Kaori Nagatou

Zdroj: Computing. 63:109-130

Témata: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, finite element, verification method, Algorithms with automatic result verification, Estimates of eigenvalues in context of PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, elliptic eigenvalue problems, numerical results, 0101 mathematics, 01 natural sciences, inclusion sets

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1383911
https://doi.org/10.1007/s006070050054
https://link.springer.com/article/10.1007/s006070050054
https://dblp.uni-trier.de/db/journals/computing/computing63.html#Nagatou99

Bounds for theN lowest eigenvalues of fourth-order boundary value problems: Bounds for the \(N\) lowest eigenvalues of fourth-order boundary value problems

Autoři: Christian Wieners

Zdroj: Computing. 59:29-41

Témata: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Error bounds for boundary value problems involving PDEs, Interval and finite arithmetic, eigenvalues, fourth-order elliptic differential equations, Estimates of eigenvalues in context of PDEs, inclusion intervals, error bounds, numerical results, 01 natural sciences, Boundary value problems for higher-order elliptic equations, clamped plate problem, boundary homotopy method, 0101 mathematics, interval analysis

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007%2FBF02684402
https://dblp.uni-trier.de/db/journals/computing/computing59.html#Wieners97
https://doi.org/10.1007/BF02684402