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

Συγγραφείς: Guanglian Li, Jing Li, Julie Merten, Yifeng Xu, Shengfeng Zhu

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

Θεματικοί όροι: 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

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Σύνδεσμος πρόσβασης: 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

On action ground states of defocusing nonlinear Schrödinger equations

Συγγραφείς: Wei Liu, Chushan Wang, Xiaofei Zhao

Πηγή: Mathematical Models and Methods in Applied Sciences. 35:39-74

Θεματικοί όροι: energy ground state, NLS equations (nonlinear Schrödinger equations), Asymptotic behavior of solutions to PDEs, action ground state, Numerical Analysis (math.NA), Variational principles in infinite-dimensional spaces, Computational methods for problems pertaining to quantum theory, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, rotation, numerical simulations, Mathematics - Analysis of PDEs, 35B38, 35Q55, 58E30, 81-08, asymptotics, Time-dependent Schrödinger equations and Dirac equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, defocusing nonlinear Schrödinger equation, Spectral, collocation and related methods for boundary value problems involving PDEs, Mathematics - Numerical Analysis, quantized vortices, Critical points of functionals in context of PDEs (e.g., energy functionals), Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Analysis of PDEs (math.AP)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2311.02890
https://zbmath.org/8005753
https://doi.org/10.1142/s0218202525500022

Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation: Time-space adaptive finite element method for nonlinear Schrödinger equation

Συγγραφείς: Chen, Yaoyao, Liu, Ying, Wang, Hao

Πηγή: Advances in Applied Mathematics and Mechanics. 17:207-223

Θεματικοί όροι: Error bounds for boundary value problems involving PDEs, finite element method, time-space adaptive algorithm, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, nonlinear Schrödinger equation, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, error estimators

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A reduced-order two-grid method based on POD technique for the semilinear parabolic equation

Συγγραφείς: Junpeng Song, Hongxing Rui

Πηγή: Applied Numerical Mathematics. 205:240-254

Θεματικοί όροι: reduced-order two-grid, error estimate, 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, Error bounds for initial value and initial-boundary value problems involving PDEs, proper orthogonal decomposition, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, degrees of freedom, Finite difference methods for initial value and initial-boundary value problems involving PDEs, semilinear parabolic equation, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Semilinear parabolic equations

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Σύνδεσμος πρόσβασης: https://zbmath.org/7901906
https://doi.org/10.1016/j.apnum.2024.07.012

An adaptive hybridizable discontinuous Galerkin method for Darcy–Forchheimer flow in fractured porous media: An adaptive hybridizable discontinuous Galerkin method for Darcy-Forchheimer flow in fractured porous media

Συγγραφείς: Haitao Leng, Huangxin Chen

Πηγή: Mathematical Models and Methods in Applied Sciences. 34:2497-2536

Θεματικοί όροι: a posteriori error estimates, discrete fracture model, Error bounds for boundary value problems involving PDEs, Numerical computation of solutions to systems of equations, Darcy-Forchheimer flow, Stability and convergence of numerical methods for boundary value problems involving PDEs, HDG methods, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, fractured porous media, existence and uniqueness

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A bound preserving cut discontinuous Galerkin method for one dimensional hyperbolic conservation laws

Συγγραφείς: Fu, Pei, Kreiss, Gunilla, Zahedi, Sara

Πηγή: ESAIM: Mathematical Modelling and Numerical Analysis. 58:1651-1680

Θεματικοί όροι: Beräkningsmatematik, satisfying maximum principle, Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs, Gas dynamics (general theory), discontinuous Galerkin method, hyperbolic conservation laws, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Euler equations, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, Computational Mathematics, Hyperbolic conservation laws, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, positivity preserving, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, Initial value problems for first-order hyperbolic systems, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, cut elements

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2404.13936
http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-540124

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

Συγγραφείς: Dai, Xiaoying, Du, Yunyun, Liu, Fang, Zhou, Aihui

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

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8034294
https://doi.org/10.1007/s42967-024-00375-0

3D Adaptive VEM with Stabilization-Free a Posteriori Error Bounds: 3D adaptive VEM with stabilization-free a posteriori error bounds

Συγγραφείς: Berrone, Stefano, Fassino, Davide, Vicini, Fabio

Πηγή: Journal of Scientific Computing. 103

Θεματικοί όροι: three-dimensional problems, virtual element methods, Three-dimensional problems, Diffusion–reaction problems, Virtual element methods, Adaptivity, FOS: Mathematics, diffusion-reaction problems, Mathematics - Numerical Analysis, 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, 65N30, 65N50, adaptivity

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2407.17858
https://hdl.handle.net/11583/2998321
https://doi.org/10.1007/s10915-025-02852-x
https://link.springer.com/article/10.1007/s10915-025-02852-x

A Grid-Overlay Finite Difference Method for Inhomogeneous Dirichlet Problems of the Fractional Laplacian on Arbitrary Bounded Domains: A grid-overlay finite difference method for inhomogeneous Dirichlet problems of the fractional Laplacian on arbitrary bounded domains

Συγγραφείς: Weizhang Huang, Jinye Shen

Πηγή: Journal of Scientific Computing. 102

Θεματικοί όροι: Finite difference methods for boundary value problems involving PDEs, overlay grid, finite difference, mesh adaptation, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, Fractional partial differential equations, Computational methods for sparse matrices, Error bounds for initial value and initial-boundary value problems involving PDEs, Fractional derivatives and integrals, inhomogeneous fractional Laplacian, Preconditioners for iterative methods, arbitrary domain, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Numerical methods for discrete and fast Fourier transforms

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Σύνδεσμος πρόσβασης: https://zbmath.org/7975323
https://doi.org/10.1007/s10915-024-02782-0

An Energy Stable Well‐Balanced Scheme for the Barotropic Euler System With Gravity Under the Anelastic Scaling: An energy stable well-balanced scheme for the barotropic Euler system with gravity under the anelastic scaling

Συγγραφείς: K. R. Arun, Mainak Kar

Πηγή: Numerical Methods for Partial Differential Equations. 41

Θεματικοί όροι: energy stability, Finite volume methods for boundary value problems involving PDEs, Asymptotic behavior of solutions to PDEs, MAC grid, Euler equations with gravity, finite volume method, Numerical Analysis (math.NA), Nonlinear elliptic equations, asymptotic preserving, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, Euler equations, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, A priori estimates in context of PDEs, Finite difference methods applied to problems in fluid mechanics, Integro-partial differential equations, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, anelastic limit, FOS: Mathematics, Primary 35L50, 35L60, 35L65, 35L67, Secondary 65M08, 65M12, Mathematics - Numerical Analysis, Weak solutions to PDEs, well-balanced, Finite element methods applied to problems in fluid mechanics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2405.00559

A PWDG method for the Maxwell system in anisotropic media with piecewise constant coefficient matrix

Συγγραφείς: Long Yuan, Qiya Hu

Πηγή: ESAIM: Mathematical Modelling and Numerical Analysis. 58:1-22

Θεματικοί όροι: Multigrid methods, domain decomposition for boundary value problems involving PDEs, Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, Error bounds for boundary value problems involving PDEs, Maxwell equations, error estimates, piecewise symmetric matrices, time-harmonic Maxwell's equations, 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, Waves and radiation in optics and electromagnetic theory, anisotropic media, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, plane wave basis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7799049
https://doi.org/10.1051/m2an/2023097

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

Συγγραφείς: Pengyu Hou, Fang Liu, Aihui Zhou

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

Θεματικοί όροι: 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

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2205.15524

A Minkowski difference‐based advancing front packing technique for generating convex noncircular particles in complex domains: A Minkowski difference-based advancing front packing technique for generating convex noncircular particles in complex domains

Συγγραφείς: Ming Xia, Xin Xu, Fengqiang Gong, Min Wang, Y. T. Feng

Πηγή: International Journal for Numerical Methods in Engineering. 124:4520-4546

Θεματικοί όροι: Numerical and other methods in solid mechanics, Boundary element methods applied to problems in fluid mechanics, Gilbert-Johnson-Keerthi method, one-sided particle lifting, discrete element method, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, interior/external domain boundary

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Σύνδεσμος πρόσβασης: https://zbmath.org/7772322
https://doi.org/10.1002/nme.7318
https://cronfa.swan.ac.uk/Record/cronfa63698/Download/63698__28104__a41ac0242e5a408f990e3d047d9effec.pdf

Convergence and quasi-optimality of an adaptive finite element method for nonmonotone quasi-linear elliptic problems on L2 errors: Convergence and quasi-optimality of an adaptive finite element method for nonmonotone quasi-linear elliptic problems on \(L^2\) errors

Συγγραφείς: Guo, Liming, Bi, Chunjia

Πηγή: Computers & Mathematics with Applications. 139:38-56

Θεματικοί όροι: quasi-optimality, convergence, Error bounds for boundary value problems involving PDEs, Boundary value problems for second-order elliptic equations, Quasilinear elliptic equations, adaptive finite element method, 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, nonmonotone elliptic problems, \( L^2\) errors

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7692015
https://doi.org/10.1016/j.camwa.2023.03.005

Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media: Numerical solutions of the electromagnetic scattering by overfilled cavities with inhomogeneous anisotropic media

Συγγραφείς: Zhao, Meiling, He, Jiahui, Wang, Liqun

Πηγή: Communications in Computational Physics. 34:530-562

Θεματικοί όροι: Variational methods applied to problems in optics and electromagnetic theory, Computational methods for sparse matrices, Iterative numerical methods for linear systems, Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, Maxwell equations, electromagnetic scattering, Petrov-Galerkin finite element interface method, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, inhomogeneous anisotropic media, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, overfilled cavity, Diffraction, scattering, non-body-fitted grids

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7784443
https://doi.org/10.4208/cicp.oa-2022-0104

CPAFT: A consistent parallel advancing front technique for unstructured triangular/tetrahedral mesh generation: CPAFT: a consistent parallel advancing front technique for unstructured triangular/tetrahedral mesh generation

Συγγραφείς: Chengdi Ma, Jizu Huang, Hao Luo, Chao Yang

Πηγή: Computer Physics Communications. 310:109535

Θεματικοί όροι: Computational Geometry (cs.CG), FOS: Computer and information sciences, Multigrid methods, domain decomposition for boundary value problems involving PDEs, 65M50, 65M55, 68W10, parallel computing, Parallel numerical computation, advancing front technique, Numerical Analysis (math.NA), maximal independent set, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, domain decomposition, FOS: Mathematics, Computer Science - Computational Geometry, unstructured triangular/tetrahedral mesh generation, Mathematics - Numerical Analysis

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2405.20618
https://zbmath.org/8020990
https://doi.org/10.1016/j.cpc.2025.109535

Two-grid reduced-order method based on POD for a nonlinear poroelasticity model

Συγγραφείς: Li, Hongpeng, Rui, Hongxing, Gao, Mengqi

Πηγή: Journal of Computational and Applied Mathematics. 460:116413

Θεματικοί όροι: reduced-order finite element method, Linear elasticity with initial stresses, Finite element methods applied to problems in solid mechanics, nonlinear poroelasticity, Flows in porous media, filtration, seepage, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, PDEs in connection with fluid mechanics, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Finite difference methods applied to problems in fluid mechanics, Finite difference methods applied to problems in solid mechanics, Error bounds for initial value and initial-boundary value problems involving PDEs, proper orthogonal decomposition, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Soil and rock mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, two-grid method, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, PDEs in connection with mechanics of deformable solids, Finite element methods applied to problems in fluid mechanics

Περιγραφή αρχείου: application/xml

An augmented interface approach in fictitious domain methods

Συγγραφείς: Swapnil Kale, Debasish Pradhan

Πηγή: Computers & Mathematics with Applications. 125:238-247

Θεματικοί όροι: Error bounds for boundary value problems involving PDEs, finite element method, Nonlinear elasticity, uniform mesh, 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, elliptic problems, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, 01 natural sciences, penalty approach, Numerical computation using splines, Boundary value problems for second-order elliptic equations, Numerical integration, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, curved domain, 0101 mathematics, Plates, error analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7608986
https://doi.org/10.1016/j.camwa.2022.09.001

On a skin tumor growth modeling by the surface finite element methods combined with the phase field approach

Συγγραφείς: Rui Xu, Shijie Huang, Xufeng Xiao, Dongwoo Sheen, Xinlong Feng

Πηγή: Communications in Nonlinear Science and Numerical Simulation. 141:108470

Θεματικοί όροι: Integro-partial differential equations, Cell biology, skin tumor growth, evolving surface finite element method, Cell movement (chemotaxis, etc.), PDEs in connection with biology, chemistry and other natural sciences, Finite difference methods for initial value and initial-boundary value problems involving PDEs, phase-field model, keloid simulation, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Computational methods for problems pertaining to biology, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7973472
https://doi.org/10.1016/j.cnsns.2024.108470

Mesh optimization for the virtual element method: How small can an agglomerated mesh become?: Mesh optimization for the virtual element method: how small can an agglomerated mesh become?

Συγγραφείς: Tommaso Sorgente, Fabio Vicini, Stefano Berrone, Silvia Biasotti, Gianmarco Manzini, Michela Spagnuolo

Πηγή: Journal of Computational Physics. 521:113552

Θεματικοί όροι: Mesh optimization, mesh agglomeration, mesh optimization, Optimal rates convergence, Numerical Analysis (math.NA), 02 engineering and technology, 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, Mesh agglomeration, Mesh quality indicators, Virtual element method, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, 01 natural sciences, virtual element method, 0103 physical sciences, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Mathematics - Numerical Analysis, optimal rates convergence, mesh quality indicators

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2404.11484
https://zbmath.org/7974292
https://doi.org/10.1016/j.jcp.2024.113552
https://hdl.handle.net/20.500.14243/526473
https://doi.org/10.1016/j.jcp.2024.113552
https://www.sciencedirect.com/science/article/pii/S0021999124008003
https://doi.org/10.1016/j.jcp.2024.113552
https://hdl.handle.net/11583/2995780