Výsledky vyhledávání - "Finite volume methods for boundary value problems involving PDEs"

Finite Volume Element Method for a Nonlinear Parabolic Equation: Finite volume element method for a nonlinear parabolic equation

Autoři: Du, Yanwei Li, Yonghai

Zdroj: Advances in Applied Mathematics and Mechanics. 17:681-705

Témata: finite volume element method, Error bounds for boundary value problems involving PDEs, nonlinear parabolic equation, Finite volume methods for boundary value problems involving PDEs, error estimate

Popis souboru: application/xml

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

Autoři: Zhang, Yanlong Wu, Jiming

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

Témata: 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

Popis souboru: application/xml

A Cell-Centered Multigrid Solver for the Finite Volume Discretization of Anisotropic Elliptic Interface Problems on Irregular Domains: A cell-centered multigrid solver for the finite volume discretization of anisotropic elliptic interface problems on irregular domains

Autoři: Pan, Kejia Wu, Xiaoxin Hu, Hongling a další

Zdroj: Journal of Computational Mathematics. 43:18-42

Témata: anisotropic coefficients, Multigrid methods, domain decomposition for boundary value problems involving PDEs, Richardson extrapolation, Finite volume methods for boundary value problems involving PDEs, elliptic interface problem, cascadic multigrid method, discontinuous coefficients

Popis souboru: application/xml

High-Order Well-Balanced Methods for the Euler Equations of Gas Dynamics with Gravitational Forces and the Ripa Model: High-order well-balanced methods for the Euler equations of gas dynamics with gravitational forces and the Ripa model

Autoři: I. Gómez-Bueno M. J. Castro C. Parés

Zdroj: RIUMA. Repositorio Institucional de la Universidad de Málaga
Universidad de Málaga

Témata: Hydrology, hydrography, oceanography, finite volume methods, Método de los volúmenes finitos, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, reconstruction operators, Gas dynamics (general theory), Ecuaciones Euler, Compressible Euler equations, compressible Euler equations, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, High-order methods, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Reconstruction operators, Finite-volume methods, Dinámica de gases, Finite volume methods for boundary value problems involving PDEs, Finite volume methods applied to problems in fluid mechanics, Euler equations, PDEs in connection with geophysics, high-order methods, Análisis matemático, well-balanced methods, Ripa model, Well-balanced methods, Análisis numérico

Popis souboru: application/xml

Přístupová URL adresa: https://hdl.handle.net/10630/37656
https://zbmath.org/7983279
https://doi.org/10.1007/s10915-024-02781-1

Adaptive finite volume schemes for anisotropic heterogeneous diffusion problems on arbitary convex and nonconvex meshes

Autoři: Zaroual Bazirha Lahcen Azrar Ateq Ahmed AlGhamedi

Zdroj: Computational and Applied Mathematics. 44

Témata: discrete duality finite volume (DDFV), Finite volume methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, non-convex mesh, refinement, Numerical solution of discretized equations for boundary value problems involving PDEs, diffusion problems

Popis souboru: application/xml

A Spatial–Temporal Weight Analysis and Novel Nonlinear Weights of Weighted Essentially Non-oscillatory Schemes for Hyperbolic Conservation Laws: A spatial-temporal weight analysis and novel nonlinear weights of weighted essentially non-oscillatory schemes for hyperbolic conservation laws

Autoři: Xinjuan Chen Jiaxi Gu Jae-Hun Jung

Zdroj: Journal of Scientific Computing. 102

Témata: Finite volume methods for boundary value problems involving PDEs, Gas dynamics (general theory), Finite volume methods applied to problems in fluid mechanics, Numerical Analysis (math.NA), Euler equations, Finite difference methods applied to problems in fluid mechanics, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Hyperbolic conservation laws, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Runge-Kutta method, weighted essentially non-oscillatory scheme, Mathematics - Numerical Analysis, finite volume, nonlinear weights

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2310.05679

A Semi-discrete Active Flux Method for the Euler Equations on Cartesian Grids: A semi-discrete active flux method for the Euler equations on Cartesian grids

Autoři: Abgrall, Remi Barsukow, Wasilij Klingenberg, Christian a další

Přispěvatelé: Abgrall, Remi Barsukow, Wasilij Klingenberg, Christian a další

Zdroj: Journal of Scientific Computing. 102

Témata: Method of lines for initial value and initial-boundary value problems involving PDEs, Keywords Compressible Euler equations · Active flux · High, Finite volume methods for boundary value problems involving PDEs, Finite volume methods applied to problems in fluid mechanics, Numerical Analysis (math.NA), Euler equations, compressible Euler equations, 1712 Software, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, 10123 Institute of Mathematics, 510 Mathematics, 2604 Applied Mathematics, Finite volume methods for initial value and initial-boundary value problems involving PDEs, active flux, order methods Mathematics Subject Classification 65M08 · 65M20 · 65M70 · 76M12, high-order methods, 65M08, 65M20, 65M70, 76M12, 2200 General Engineering, Existence, uniqueness, and regularity theory for incompressible inviscid fluids, FOS: Mathematics, Mathematics - Numerical Analysis, 2614 Theoretical Computer Science, 2612 Numerical Analysis, 2605 Computational Mathematics, 1703 Computational Theory and Mathematics

Popis souboru: application/xml; Abgrall2025_ASemiDiscreteActiveFluxMethod.pdf - application/pdf

Přístupová URL adresa: http://arxiv.org/abs/2310.00683
https://zbmath.org/7969181
https://doi.org/10.1007/s10915-024-02749-1

Affine-Invariant WENO Operator on Nonuniform Cartesian Mesh with Application to Finite Volume and Discontinuous Galerkin Methods: Affine-invariant WENO operator on nonuniform Cartesian mesh with application to finite volume and discontinuous Galerkin methods

Autoři: Xiang, Xiao-Shuo Wang, Bao-Shan Gao, Zhen a další

Zdroj: Journal of Scientific Computing. 102

Témata: WENO, Finite volume methods for boundary value problems involving PDEs, Finite volume methods applied to problems in fluid mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Euler equations, Numerical quadrature and cubature formulas, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs, affine-invariant, finite volume scheme, Finite volume methods for initial value and initial-boundary value problems involving PDEs, DG method, Hyperbolic conservation laws, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, nonuniform mesh, Finite element methods applied to problems in fluid mechanics

Popis souboru: application/xml

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

Autoři: K. R. Arun Mainak Kar

Zdroj: Numerical Methods for Partial Differential Equations. 41

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2405.00559

A Generalized Selectively Relaxed Matrix Splitting Preconditioning Strategy for Three-Dimensional Flux-Limited Multi-Group Radiation Diffusion Equations: A generalized selectively relaxed matrix splitting preconditioning strategy for three-dimensional flux-limited multi-group radiation diffusion equations

Autoři: Yue, Xiaoqiang Xia, Sheng Chen, Chunyan a další

Zdroj: Numerical Mathematics: Theory, Methods and Applications. 17:630-657

Témata: Multigrid methods, domain decomposition for boundary value problems involving PDEs, algebraic multigrid, matrix splitting preconditioning, Finite volume methods for boundary value problems involving PDEs, radiation diffusion equations, Preconditioners for iterative methods, Parallel numerical computation, selective relaxation, parallel and distributed computing

Popis souboru: application/xml

Implicit Relaxed All Mach Number Schemes for Gases and Compressible Materials: Implicit relaxed all Mach number schemes for gases and compressible materials

Autoři: Thomann, Andrea Iollo, Angelo Puppo, Gabriella

Přispěvatelé: Thomann, Andrea Iollo, Angelo Puppo, Gabriella

Zdroj: SIAM Journal on Scientific Computing. 45:A2632-A2656

Témata: Nonlinear elasticity, FOS: Physical sciences, Gas dynamics (general theory), [MATH] Mathematics [math], 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), All-speed scheme, [PHYS] Physics [physics], Eulerian elasticity, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Finite volume methods applied to problems in solid mechanics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, relaxation method, Finite volume methods for boundary value problems involving PDEs, Fluid Dynamics (physics.flu-dyn), Finite volume methods applied to problems in fluid mechanics, Physics - Fluid Dynamics, Numerical Analysis (math.NA), all-speed scheme, Euler equations, linearly implicit higher order methods, Finite difference methods applied to problems in solid mechanics, low Mach number limit, Numerical methods for stiff equations, Hyperbolic conservation laws, linearly implicit higher order schemes

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/abs/2112.14126
https://zbmath.org/7749381
https://doi.org/10.1137/21m146819x
https://hal.science/hal-04375656v2
https://hal.science/hal-04375656v2/document
https://doi.org/10.1137/21m146819x
https://hdl.handle.net/11573/1706229
https://doi.org/10.1137/21M146819X

On the approximation of the von-Neumann equation in the semi-classical limit. Part I: Numerical algorithm: On the approximation of the von-Neumann equation in the semi-classical limit. I: Numerical algorithm

Autoři: Filbet, Francis Golse, François Institut de Mathématiques de Toulouse UMR5219 (IMT) a další

Přispěvatelé: Filbet, Francis Golse, François Institut de Mathématiques de Toulouse UMR5219 (IMT) a další

Zdroj: Journal of Computational Physics. 527:113810

Témata: Hermite polynomial expansion. Contents, Finite volume methods for boundary value problems involving PDEs, quantum mechanics, Numerical Analysis (math.NA), [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], von Neumann equation, Quantum mechanics, Hermite polynomial expansion, Mathematics - Analysis of PDEs, FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], Spectral, collocation and related methods for boundary value problems involving PDEs, Mathematics - Numerical Analysis, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Quantum mechanics von Neumann equation Hermite polynomial expansion. Contents, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], PDEs in connection with quantum mechanics, Analysis of PDEs (math.AP)

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/abs/2405.13436
https://zbmath.org/8021108
https://doi.org/10.1016/j.jcp.2025.113810
https://hal.science/hal-04581425v2
https://hal.science/hal-04581425v2/document
https://doi.org/10.1016/j.jcp.2025.113810

Multiscale preconditioning of Stokes flow in complex porous geometries

Autoři: Yashar Mehmani Kangan Li

Zdroj: Journal of Computational Physics. 521:113541

Témata: Iterative numerical methods for linear systems, porous media, Krylov solver, preconditioning, Finite volume methods for boundary value problems involving PDEs, pore network, multiscale method, Preconditioners for iterative methods, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stokes equation

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7974285
https://doi.org/10.1016/j.jcp.2024.113541

On the accuracy of numerical methods for the discretization of anisotropic elliptic problems

Autoři: Yang, Chang Deluzet, Fabrice Narski, Jacek a další

Přispěvatelé: Yang, Chang Deluzet, Fabrice Narski, Jacek a další

Zdroj: Journal of Computational Physics. 521:113568

Témata: Finite difference methods for boundary value problems involving PDEs, asymptotic-preserving schemes, plasma physics, Finite volume methods for boundary value problems involving PDEs, anisotropic elliptic equation, [MATH] Mathematics [math], [MATH]Mathematics [math], 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

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7972904
https://doi.org/10.1016/j.jcp.2024.113568

An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations: An efficient second-order finite volume ADI method for nonlinear three-dimensional space-fractional reaction-diffusion equations

Autoři: Zhang, Bingyin Fu, Hongfei Liang, Xueting a další

Zdroj: Advances in Applied Mathematics and Mechanics. 14:1400-1432

Témata: Iterative numerical methods for linear systems, convergence, Finite volume methods for boundary value problems involving PDEs, finite volume method, Fractional partial differential equations, 01 natural sciences, Error bounds for initial value and initial-boundary value problems involving PDEs, efficient implementation, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Fractional derivatives and integrals, Finite difference methods for initial value and initial-boundary value problems involving PDEs, nonlinear space-fractional reaction-diffusion equation, ADI, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

Popis souboru: application/xml

A Fourth-Order Unstructured NURBS-Enhanced Finite Volume WENO Scheme for Steady Euler Equations in Curved Geometries: A fourth-order unstructured NURBS-enhanced finite volume WENO scheme for steady Euler equations in curved geometries

Autoři: Yaguang Gu Guanghui Hu Xucheng Meng

Zdroj: Communications on Applied Mathematics and Computation. 5:315-342

Témata: Multigrid methods, domain decomposition for boundary value problems involving PDEs, WENO reconstruction, Finite volume methods for boundary value problems involving PDEs, Transonic flows, Numerical computation of solutions to systems of equations, Finite volume methods applied to problems in fluid mechanics, curved boundary, NURBS-enhanced finite volume method, secondary reconstruction, Euler equations, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, Shock waves and blast waves in fluid mechanics, 01 natural sciences, Numerical computation using splines, steady Euler equations, 0103 physical sciences, Existence, uniqueness, and regularity theory for incompressible inviscid fluids

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007/s42967-021-00163-0

Space–time adaptive ADER-DG finite element method with LST-DG predictor and a posteriori sub-cell ADER-WENO finite-volume limiting for multidimensional detonation waves simulation: Space-time adaptive ADER-DG finite element method with LST-DG predictor and \textit{a posteriori} sub-cell ADER-WENO finite-volume limiting for multidimensional detonation waves simulation

Autoři: Popov, I. S.

Zdroj: Computers & Fluids. 284:106425

Témata: LST-DG predictor, Reaction effects in flows, HRS, a posteriori limitation, physical gas dynamics, FOS: Physical sciences, computational fluid dynamics, Applied Physics (physics.app-ph), reactive flows, PDEs in connection with fluid mechanics, Shocks and singularities for hyperbolic equations, Mathematics - Analysis of PDEs, FOS: Mathematics, Fluid mechanics, Mathematics - Numerical Analysis, HRSCS, Finite volume methods for boundary value problems involving PDEs, Fluid Dynamics (physics.flu-dyn), Finite volume methods applied to problems in fluid mechanics, detonation waves, Physics - Fluid Dynamics, Physics - Applied Physics, Numerical Analysis (math.NA), Computational Physics (physics.comp-ph), Waves in compressible fluids, Euler equations, Shock waves and blast waves in fluid mechanics, 76M10, 76M12, 65M60, 65N08, 76N30, 76V05, 76L05, 35L67, 35Q31, 35Q35, 35L40, ADER-DG, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Physics - Computational Physics, First-order hyperbolic systems, Finite element methods applied to problems in fluid mechanics, ADER-WENO-FV, Analysis of PDEs (math.AP)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2409.09911

A very high-order finite volume method based on weighted least squares for elliptic operators on polyhedral unstructured grids

Autoři: Artur G.R. Vasconcelos Duarte M.S. Albuquerque José C.F. Pereira

Zdroj: Computers & Fluids. 181:383-402

Témata: eight-order scheme, unstructured polyhedral grids, Finite volume methods for boundary value problems involving PDEs, 0103 physical sciences, efficiency study of numerical schemes, weighted least-squares (WLS), finite volume method (FVM), 0101 mathematics, Poisson equation, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7035315
https://doi.org/10.1016/j.compfluid.2019.02.004
https://www.sciencedirect.com/science/article/pii/S0045793019300295

An a priori anisotropic goal-oriented error estimate for viscous compressible flow and application to mesh adaptation

Autoři: Belme, A. Alauzet, F. Dervieux, A. a další

Přispěvatelé: Belme, A. Alauzet, F. Dervieux, A. a další

Zdroj: Journal of Computational Physics. 376:1051-1088

Témata: adjoint, Error bounds for boundary value problems involving PDEs, metric, [SPI.FLUID]Engineering Sciences [physics]/Reactive fluid environment, Finite volume methods for boundary value problems involving PDEs, Gas dynamics (general theory), [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA], Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, viscous compressible flow, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, 01 natural sciences, [SPI]Engineering Sciences [physics], Viscous compressible flow, 0103 physical sciences, goal-oriented mesh adaptation, anisotropic mesh adaptation

Popis souboru: application/xml

Přístupová URL adresa: https://hal.inria.fr/hal-01927113/file/Belme-JCP-2018.pdf
https://hal.inria.fr/hal-01927113
https://hal.inria.fr/hal-01927113/document
http://ui.adsabs.harvard.edu/abs/2019JCoPh.376.1051B/abstract
https://dblp.uni-trier.de/db/journals/jcphy/jcphy376.html#BelmeAD19
https://doi.org/10.1016/j.jcp.2018.08.048
https://www.sciencedirect.com/science/article/pii/S0021999118305801
https://inria.hal.science/hal-01927113
https://inria.hal.science/hal-01927113/document
https://inria.hal.science/hal-01927113/file/Belme-JCP-2018.pdf

A comparative study of high‐resolution methods for nonlinear hyperbolic problems: A comparative study of high-resolution methods for nonlinear hyperbolic problems

Autoři: Ruchika Lochab Vivek Kumar

Zdroj: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 102

Témata: finite volume methods, numerical analysis, Finite volume methods for boundary value problems involving PDEs, flux limiters, Finite volume methods applied to problems in fluid mechanics, hyperbolic conservation laws, PDEs in connection with fluid mechanics, Shock waves and blast waves in fluid mechanics, high-resolution schemes, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Hyperbolic conservation laws, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, 0101 mathematics

Popis souboru: application/xml