Suchergebnisse - "Stability and convergence of numerical methods for boundary value problems involving PDEs"

Finite block method for nonlinear time-fractional partial integro-differential equations: Stability, convergence, and numerical analysis: Finite block method for nonlinear time-fractional partial integro-differential equations: stability, convergence, and numerical analysis

Autoren: Amin Ghoreyshi Mostafa Abbaszadeh Mahmoud A. Zaky et al.

Quelle: Applied Numerical Mathematics. 214:82-103

Schlagwörter: Caputo fractional derivative, finite block method, Method of lines for boundary value problems involving PDEs, spectral-collocation method, quasilinearization, non-rectangular areas, Volterra integral operator, stability and error analysis, 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, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, time delay, nonlinear time-fractional partial integro-differential equation

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/8034925
https://doi.org/10.1016/j.apnum.2025.03.002

Locking-Free Hybrid High-Order Method for Linear Elasticity: Locking-free hybrid high-order method for linear elasticity

Autoren: Carsten Carstensen Ngoc Tien Tran

Quelle: ArXiv e-prints

Schlagwörter: Complexity and performance of numerical algorithms, a posteriori, error estimates, a priori, linear elasticity, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 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, 65N12, 65N30, 65Y20, hybrid high-order

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2404.02768
https://zbmath.org/8029910
https://doi.org/10.1137/24m1650363

Robust Virtual Element Methods for Coupled Stress-Assisted Diffusion Problems: Robust virtual element methods for coupled stress-assisted diffusion problems

Autoren: Rekha Khot Andrés E. Rubiano Ricardo Ruiz-Baier

Quelle: SIAM Journal on Scientific Computing. 47:A497-A526

Schlagwörter: perturbed saddle-point problems, 65N30, 65N12, 65N15, 74F25, Error bounds for boundary value problems involving PDEs, Linear elasticity with initial stresses, virtual element methods, Perturbations in context of PDEs, stress-assisted diffusion, 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, A priori estimates in context of PDEs, diffusion-induced stress, Fixed-point theorems, fixed-point operators, Chemical and reactive effects in solid mechanics, FOS: Mathematics, Mathematics - Numerical Analysis

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2401.09714

Wavelet-Based Edge Multiscale Finite Element Methods for Singularly Perturbed Convection-Diffusion Equations: Wavelet-based edge multiscale finite element methods for singularly perturbed convection-diffusion equations

Autoren: Shubin Fu Eric Chung Guanglian Li

Quelle: Multiscale Modeling & Simulation. 23:431-457

Schlagwörter: Error bounds for boundary value problems involving PDEs, hierarchical bases, multiscale method, FOS: Mathematics, partition of unity, convection-diffusion, Mathematics - Numerical Analysis, 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, singularly perturbed

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2309.12108
https://zbmath.org/8015889
https://doi.org/10.1137/24m1659017

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

Autoren: Guanglian Li Jing Li Julie Merten et al.

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Numerical treatment of singularly perturbed turning point problems with delay in time

Autoren: Singh, Satpal Kumar, Devendra Vigo-Aguiar, J.

Quelle: Journal of Mathematical Chemistry. 63:1035-1064

Schlagwörter: Finite difference methods for boundary value problems involving PDEs, Shishkin mesh, Stability and convergence of numerical methods for boundary value problems involving PDEs, turning point, time lag, Spline approximation, Error bounds for initial value and initial-boundary value problems involving PDEs, parameter-uniform convergence, Second-order parabolic equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for ordinary differential equations, delay differential equation, Singular perturbations, turning point theory, WKB methods for ordinary differential equations, splines, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, singular perturbation, Singular perturbations in context of PDEs

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/8018422
https://doi.org/10.1007/s10910-025-01707-y

Uniform convergence of finite element method on Bakhvalov-type mesh for a 2-D singularly perturbed convection–diffusion problem with exponential layers: Uniform convergence of finite element method on Bakhvalov-type mesh for a 2-D singularly perturbed convection-diffusion problem with exponential layers

Autoren: Jin Zhang Chunxiao Zhang

Quelle: Mathematics and Computers in Simulation. 228:39-51

Schlagwörter: Bakhvalov-type mesh, finite element method, FOS: Mathematics, 65N12, 65N30, convection-diffusion, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 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, uniform convergence, singularly perturbed

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2304.11368

A Novel PML-Type Technique for Acoustic Scattering Problems Based on a Real Coordinate Transformation: A novel PML-type technique for acoustic scattering problems based on a real coordinate transformation

Autoren: Jiangxing Wang Li-Lian Wang Bo Wang

Quelle: SIAM Journal on Scientific Computing. 47:A153-A180

Schlagwörter: Roundoff error, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, real coordinate transformation, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, 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, oscillation, perfectly matched layer, time-harmonic wave scattering, Pattern formations in context of PDEs, substitution, FOS: Mathematics, Helmholtz equation, Mathematics - Numerical Analysis, Waves and radiation in optics and electromagnetic theory, PDEs in connection with optics and electromagnetic theory, Diffraction, scattering

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2401.15573
https://zbmath.org/7967117
https://doi.org/10.1137/24m1628554

VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics: VEM-Nitsche fully discrete polytopal scheme for frictionless contact-mechanics

Autoren: Laaziri, Mohamed Masson, Roland

Quelle: SIAM Journal on Numerical Analysis. 63:81-102

Schlagwörter: Nitsche's method, Error bounds for boundary value problems involving PDEs, Finite element methods applied to problems in solid mechanics, Flows in porous media, filtration, seepage, Numerical computation of solutions to systems of equations, poromechanics, fracture networks, fully discrete approach, 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, Contact in solid mechanics, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), virtual element method, Classical linear elasticity, error estimates, Soil and rock mechanics, contact-mechanics, polytopal method, PDEs in connection with mechanics of deformable solids

Dateibeschreibung: application/xml

Stabilized Continuous Linear Element Method for the Biharmonic Problems: Stabilized continuous linear element method for the biharmonic problems

Autoren: Cai, Ying Guo, Hailong Zhang, Zhimin

Quelle: Communications in Computational Physics. 37:498-520

Schlagwörter: Second-order elliptic equations, superconvergence, gradient recovery, linear finite element, 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, Strong solutions to PDEs, biharmonic problems

Dateibeschreibung: application/xml

Newton’s Method and its Hybrid with Machine Learning for Navier-Stokes Darcy Models Discretized by Mixed Element Methods: Newton's method and its hybrid with machine learning for Navier-Stokes Darcy models discretized by mixed element methods

Autoren: Huang, Jianguo Peng, Hui Wu, Haohao

Quelle: Communications in Computational Physics. 37:30-60

Schlagwörter: Error bounds for boundary value problems involving PDEs, Flows in porous media, filtration, seepage, FOS: Mathematics, deep learning, Navier Stokes-Darcy model, Mathematics - Numerical Analysis, 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, Int-Deep method, Finite element methods applied to problems in fluid mechanics, Newton iterative method, convergence analysis

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2401.10557
https://zbmath.org/8013531
https://doi.org/10.4208/cicp.oa-2024-0066

An Adaptive Polygonal Finite Volume Element Method Based on the Mean Value Coordinates for Anisotropic Diffusion Problems: An adaptive polygonal finite volume element method based on the mean value coordinates for anisotropic diffusion problems

Autoren: Zhang, Yanlong Wu, Jiming

Quelle: Communications in Computational Physics. 37:783-809

Schlagwörter: hanging nodes, polygonal finite volume element method, Finite volume methods for boundary value problems involving PDEs, mean value coordinates, adaptive algorithm, Stability and convergence of numerical methods for boundary value problems involving PDEs

Dateibeschreibung: application/xml

Implementation of the ADMM approach to constrained optimal control problem with a nonlinear time-fractional diffusion equation

Autoren: Oulmelk, Abdessamad Srati, Mohammed Afraites, Lekbir et al.

Quelle: Discrete and Continuous Dynamical Systems - S. 18:15-42

Schlagwörter: inverse parameter problem, Inverse problems in optimal control, optimal control problem, alternating direction method of multiplier (ADMM), Finite difference methods for initial value and initial-boundary value problems involving PDEs, Existence theories for optimal control problems involving partial differential equations, Stability and convergence of numerical methods for boundary value problems involving PDEs, time-fractional diffusion equation, Functional-differential equations with fractional derivatives, convergence analysis

Dateibeschreibung: application/xml

A Cell-Centered Finite Element Method with Imposed Flux Continuity and Streamline Upwind Technique for Advection-Diffusion Problems on General Meshes: A cell-centered finite element method with imposed flux continuity and streamline upwind technique for advection-diffusion problems on general meshes

Autoren: Ong Thanh Hai Nguyen T. Hong Thai Tran Thien Thanh

Quelle: International Journal of Numerical Analysis and Modeling. 22:401-431

Schlagwörter: Diffusion, anisotropic and heterogeneous diffusion, cell-centered schemes, convection-dominated regime, Forced convection, 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, advection-diffusion equations, convergence analysis

Dateibeschreibung: application/xml

WAN Discretization of PDEs: Best Approximation, Stabilization, and Essential Boundary Conditions: WAN discretization of PDEs: best approximation, stabilization, and essential boundary conditions

Autoren: Silvia Bertoluzza Erik Burman Cuiyu He

Quelle: SIAM Journal on Scientific Computing. 46:C688-C715

Schlagwörter: Cea's Lemma, pseudotime XNODE, Numerical optimization and variational techniques, Systems of nonlinear higher-order PDEs, Pseudo-time XNODE, Cea's lemma, Stability and convergence of numerical methods for boundary value problems involving PDEs, Error bounds for initial value and initial-boundary value problems involving PDEs, PDEs on manifolds, weak adversarial network, Numerical PDE, 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, Weak solutions to PDEs, Weak Adversarial Network, Artificial neural networks and deep learning

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://zbmath.org/7964724
https://doi.org/10.1137/23m1588196

CEM-GMsFEM for Poisson Equations in Heterogeneous Perforated Domains: CEM-GMsFEM for Poisson equations in heterogeneous perforated domains

Autoren: Wei Xie Yin Yang Eric Chung et al.

Quelle: Multiscale Modeling & Simulation. 22:1683-1708

Schlagwörter: Error bounds for boundary value problems involving PDEs, multiscale model reduction, FOS: Mathematics, Mathematics - Numerical Analysis, 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, Poisson equation, perforated domains

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2404.17372

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

Autoren: Haitao Leng Huangxin Chen

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

Schlagwörter: 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

Dateibeschreibung: application/xml

A parameter uniform numerical method for 2D singularly perturbed elliptic differential-difference equations

Autoren: null Garima Komal Bansal Kapil K. Sharma

Quelle: Journal of Applied Mathematics and Computing. 70:6347-6372

Schlagwörter: Finite difference methods for boundary value problems involving PDEs, Error bounds for boundary value problems involving PDEs, space shift, differential-difference equation, Numerical computation of solutions to systems of equations, singularly perturbed problem, convection-diffusion problem, Stability and convergence of numerical methods for boundary value problems involving PDEs, 2D elliptic equation, non standard finite difference method

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/8036706
https://doi.org/10.1007/s12190-024-02203-3

A dimension reduction method of two‐grid finite element solution coefficient vectors for the Allen–Cahn equation: A dimension reduction method of two-grid finite element solution coefficient vectors for the Allen-Cahn equation

Autoren: Yuejie Li Fei Teng Yihui Zeng et al.

Quelle: Mathematical Methods in the Applied Sciences. 48:678-698

Schlagwörter: Error bounds for initial value and initial-boundary value problems involving PDEs, proper orthogonal decomposition, two-grid Crank-Nicolson finite element method, unconditional stability and errors, Spectral, collocation and related methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, 0101 mathematics, nonlinear Allen-Cahn equation, 01 natural sciences, reduced-dimension extrapolated two-grid Crank-Nicolson finite element method

Dateibeschreibung: application/xml

On the Monotonicity of $Q^3$ Spectral Element Method for Laplacian: On the monotonicity of \(Q^3\) spectral element method for Laplacian

Autoren: Cross, Logan J. Zhang, Xiangxiong

Quelle: Annals of Applied Mathematics. 40:161-190

Schlagwörter: Finite difference methods for boundary value problems involving PDEs, inverse positivity, discrete maximum principle, spectral element method, high order accuracy, 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, discrete Laplacian, monotonicity

Dateibeschreibung: application/xml