Search Results - Fictitious domain methods for initial value and initial-boundary value problems involving PDEs

Semi-implicit Eulerian Method for the Fluid Structure Interaction of Elastic Membranes: Semi-implicit Eulerian method for the fluid structure interaction of elastic membranes

Authors: Ciallella, Mirco Milcent, Thomas

Source: SIAM Journal on Scientific Computing. 47:A1555-A1578

Subject Terms: Finite volume methods for initial value and initial-boundary value problems involving PDEs, Navier-Stokes equations for incompressible viscous fluids, Nonlinear elasticity, semi-implicit, FOS: Mathematics, fluid-structure interaction, immersed boundary, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Fictitious domain methods for initial value and initial-boundary value problems involving PDEs, incompressible Navier-Stokes, Eulerian elasticity

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Access URL: http://arxiv.org/abs/2310.19352
https://zbmath.org/8037168
https://doi.org/10.1137/23m1612512

A unified-field monolithic fictitious domain-finite element method for fluid-structure-contact interactions and applications to deterministic lateral displacement problems

Authors: Cheng Wang Pengtao Sun Yumiao Zhang et al.

Source: Journal of Computational Physics. 510:113083

Subject Terms: interface conditions, unified-field monolithic fictitious domain-finite element method (UFMFD-FEM), repulsive contact force/stress, deterministic lateral displacement (DLD), Mathematics - Numerical Analysis, Physics - Fluid Dynamics, fluid-structure-contact interactions (FSCI), Fictitious domain methods for initial value and initial-boundary value problems involving PDEs, 65M22, 65M60, 65M85, 65Z05, 65D17, 70F35, 70F40, 74S05, 74F10, 76M10, 76M30, 76D05, 76D09, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), stabilized mixed finite element, Finite element methods applied to problems in fluid mechanics

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Access URL: http://arxiv.org/abs/2402.12517

The fictitious domain method with penalty for the parabolic problem in moving-boundary domain: The error estimate of penalty and the finite element approximation: The fictitious domain method with penalty for the parabolic problem in moving-boundary domain: the error estimate of penalty and the finite element approximation

Authors: Guanyu Zhou

Source: Applied Numerical Mathematics. 115:42-67

Subject Terms: penalty method, finite element method, error estimate, stability, moving-boundary, 01 natural sciences, Error bounds for initial value and initial-boundary value problems involving PDEs, Initial-boundary value problems for second-order parabolic equations, fictitious domain method, parabolic problem, numerical experiment, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Fictitious domain methods for initial value and initial-boundary value problems involving PDEs

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Access URL: https://zbmath.org/6688698
https://doi.org/10.1016/j.apnum.2017.01.002
https://tus.elsevierpure.com/en/publications/the-fictitious-domain-method-with-penalty-for-the-parabolic-probl
https://www.sciencedirect.com/science/article/pii/S0168927417300028

Three-dimensional fundamental solution for dynamic responses of a layered transversely isotropic saturated half-space using coupled thin-layer and complex frequency shifted perfectly matched layer method

Authors: Hui Li Chao He Quanmei Gong et al.

Source: Engineering Analysis with Boundary Elements. 166:105856

Subject Terms: perfectly matched layer, fundamental solution, saturated porous medium, Numerical and other methods in solid mechanics, transverse isotropy, Flows in porous media, filtration, seepage, dynamic responses, thin-layer method, Fictitious domain methods for initial value and initial-boundary value problems involving PDEs, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

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A boundary condition-enhanced direct-forcing immersed boundary method for simulations of three-dimensional phoretic particles in incompressible flows

Authors: Xiaojue Zhu Yibo Chen Chong (Kai Leong) et al.

Contributors: Xiaojue Zhu Yibo Chen Chong (Kai Leong) et al.

Source: Journal of Computational Physics

Subject Terms: Immersed boundary method, Neumann boundary condition, Janus particles, Settore ING-IND/06, phoretic particles, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, Phoretic particles, immersed boundary method, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, Particle methods and lattice-gas methods, Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs, Fictitious domain methods for initial value and initial-boundary value problems involving PDEs

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Access URL: https://zbmath.org/8020999
https://doi.org/10.1016/j.jcp.2024.113028
http://hdl.handle.net/21.11116/0000-000F-6761-0
http://hdl.handle.net/21.11116/0000-000F-675F-4
https://hdl.handle.net/2108/375164
https://doi.org/10.1016/j.jcp.2024.113028

Penalty Sponge Layers (PSL) for hyperbolic systems. General formulation, well-posedness and stability: Penalty sponge layers (PSL) for hyperbolic systems. General formulation, well-posedness and stability

Authors: Sihem Basset Zohra Benkamra Mounir Tlemcani

Source: Journal of Computational Physics. 510:113087

Subject Terms: well-posedness, penalty sponge layer, stability, absorbing layer, hyperbolic systems, Fictitious domain methods for initial value and initial-boundary value problems involving PDEs, First-order hyperbolic systems

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Access URL: https://zbmath.org/8021045
https://doi.org/10.1016/j.jcp.2024.113087

Perfectly matched layers for the Boltzmann equation: Stability and sensitivity analysis: Perfectly matched layers for the Boltzmann equation: stability and sensitivity analysis

Authors: Marco Sutti Jan S. Hesthaven

Source: Journal of Computational Physics. 509:113047

Subject Terms: ANOVA expansion, total sensitivity index, FOS: Physical sciences, Numerical Analysis (math.NA), BGK model, Computational Physics (physics.comp-ph), stability analysis, Finite difference methods applied to problems in fluid mechanics, perfectly matched layer, Rarefied gas flows, Boltzmann equation in fluid mechanics, differential operators, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Mathematics - Numerical Analysis, Fictitious domain methods for initial value and initial-boundary value problems involving PDEs, Physics - Computational Physics, 76P05, 65N06, 35L45, 35B35, 35L05, 35Q30

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Access URL: http://arxiv.org/abs/2312.03273
https://zbmath.org/8021011
https://doi.org/10.1016/j.jcp.2024.113047

Numerical simulation of flows past flat plates using volume penalization

Authors: Schneider, Kai Paget-Goy, Mickaël Verga, Alberto et al.

Contributors: Schneider, Kai Paget-Goy, Mickaël Verga, Alberto et al.

Source: Computational and Applied Mathematics. 33:481-495

Subject Terms: [PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn], Other numerical methods (fluid mechanics), free shear layers, [PHYS.PHYS.PHYS-FLU-DYN] Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn], computational methods in fluid dynamics, vortex dynamics, wavelets, 01 natural sciences, spectral methods, Numerical methods for wavelets, instability of shear layers, 0103 physical sciences, Viscous vortex flows, Fictitious domain methods for initial value and initial-boundary value problems involving PDEs, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

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Access URL: https://hal-amu.archives-ouvertes.fr/hal-01500522/file/Schneider-2014fk.pdf
https://zbmath.org/6393151
https://doi.org/10.1007/s40314-013-0076-9
https://hal-amu.archives-ouvertes.fr/hal-01500522/document
https://zenodo.org/record/33447/files/article.pdf
https://hal-amu.archives-ouvertes.fr/hal-01500522
https://hal.archives-ouvertes.fr/hal-01299239
https://link.springer.com/article/10.1007/s40314-013-0076-9
https://link.springer.com/article/10.1007/s40314-013-0076-9/fulltext.html

An operator splitting scheme with a distributed Lagrange multiplier based fictitious domain method for wave propagation problems

Authors: Roland Glowinski Vrushali A. Bokil

Source: Journal of Computational Physics. 205:242-268

Subject Terms: perfectly matched layer, finite differences, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Wave equation, mixed finite element methods, fictitious domains, wave equation, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, numerical results, 0101 mathematics, 01 natural sciences, operator splitting

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Access URL: https://zbmath.org/2175604
https://doi.org/10.1016/j.jcp.2004.10.040
https://ui.adsabs.harvard.edu/abs/2005JCoPh.205..242B/abstract
https://www.sciencedirect.com/science/article/pii/S0021999104004668
http://www.sciencedirect.com/science/article/pii/S0021999104004668

A fictitious domain/finite element method for particulate flows: A fictitious domain/finite element method for particulate flows.

Authors: Krishnaswamy Nandakumar C. Diaz-Goano Peter D. Minev

Source: Journal of Computational Physics. 192:105-123

Subject Terms: Finite element method, Suspensions, 0203 mechanical engineering, Fictitious domain method, 0103 physical sciences, Particulate flow, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 02 engineering and technology, 01 natural sciences, Finite element methods applied to problems in fluid mechanics

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Access URL: https://zbmath.org/2026641
https://doi.org/10.1016/s0021-9991(03)00349-8
https://ui.adsabs.harvard.edu/abs/2003JCoPh.192..105D/abstract
http://www.sciencedirect.com/science/article/pii/S0021999103003498
https://www.sciencedirect.com/science/article/pii/S0021999103003498

A fictitious domain method for nonlinear boundary value problems

Authors: Mukhambetzhanov, A. T. Otelbaev, M. O. Smagulov, Sh. S.

Subject Terms: Multigrid methods, domain decomposition for boundary value problems involving PDEs, convergence, iterative method, domain decomposition for initial value and initial-boundary value problems involving PDEs, Nonlinear boundary value problems for linear elliptic equations, Nonlinear parabolic equations, fictitious domain method, second-order elliptic equations, Stability and convergence of numerical methods for boundary value problems involving PDEs, second-order parabolic equations, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, nonlinear boundary value problem

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Access URL: https://zbmath.org/1286450

A hybrid FD-DEM solver for rigid particles in viscous fluid

Authors: Li Yuan Shifeng Wu

Source: Computers & Fluids. 118:159-166

Subject Terms: particulate flow, Suspensions, Navier-Stokes equations for incompressible viscous fluids, 0103 physical sciences, fictitious domain method, discrete \(\delta\)-function, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, repulsive force, discrete element method, 01 natural sciences, Finite element methods applied to problems in fluid mechanics, collision

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Access URL: https://www.sciencedirect.com/science/article/pii/S0045793015001838
http://lsec.cc.ac.cn/~lyuan/2015caf-wu.pdf

Preconditioning operators for grid parabolic problems

Authors: Yu. M. Laevsky

Source: Russian Journal of Numerical Analysis and Mathematical Modelling. 11

Subject Terms: Iterative numerical methods for linear systems, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, preconditioning, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Numerical computation of matrix norms, conditioning, scaling, two-layer difference scheme, fictitious domain method, Initial value problems for second-order parabolic equations, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, 01 natural sciences, domain decomposition method

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Access URL: https://zbmath.org/989744
https://doi.org/10.1515/rnam.1996.11.6.497
http://www.degruyter.com/downloadpdf/j/rnam.1996.11.issue-6/rnam.1996.11.6.497/rnam.1996.11.6.497.xml

On a class of three-layer difference schemata and the method of fictitious domains

Authors: Laevskij, Yu. M.

Subject Terms: Iterative numerical methods for linear systems, Error bounds for initial value and initial-boundary value problems involving PDEs, preconditioning operator, grid parabolic problem, grid elliptic boundary value problems, Crank-Nicolson scheme, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Numerical computation of matrix norms, conditioning, scaling, fictitious space method, nonstationary grid problem, fictitious domain method, Initial value problems for second-order parabolic equations, three-layer difference scheme

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Access URL: https://zbmath.org/1438884

A Fast Sine Transform Accelerated High-Order Finite Difference Method for Parabolic Problems over Irregular Domains.

Authors: Li, Chuan Ren, Yiming Long, Guangqing et al.

Source: Journal of Scientific Computing; May2023, Vol. 95 Issue 2, p1-38, 38p

On fictitious domain method for the numerical solution to heat conduction equation with derivative boundary conditions

Authors: Sun, Zhizhong

Subject Terms: Finite difference methods for initial value and initial-boundary value problems involving PDEs, Heat and mass transfer, heat flow, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

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Access URL: https://zbmath.org/1782214

On \(L_\infty\) stability and convergence of fictitious domain method for the numerical solution to parabolic differential equation with derivative boundary conditions

Authors: Sun, Zhizhong

Subject Terms: Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

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Access URL: https://zbmath.org/1782201

Efficient methods for stiff multidimensional multiparametric problems

Authors: Bakhvalov, N. S.

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, convergence, boundary value problems, method of lines, mechanics of composite materials, Initial value problems for second-order hyperbolic equations, Other numerical methods in solid mechanics, Numerical methods for initial value problems involving ordinary differential equations, domain decomposition, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, multidimensional multiparametric problems, fictitious domain method, iterative methods, Initial value problems for second-order parabolic equations, Composite and mixture properties, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, multigrid

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Access URL: https://zbmath.org/1601208

An augmented interface approach in fictitious domain methods

Authors: Swapnil Kale Debasish Pradhan

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

Subject Terms: 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

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Access URL: https://zbmath.org/7608986
https://doi.org/10.1016/j.camwa.2022.09.001

A Lagrange multiplier/fictitious domain method for the Dirichlet problem — Generalization to some flow problems: A Lagrange multiplier/fictitious domain method for the Dirichlet problem -- generalization to some flow problems

Authors: Tsorng-Whay Pan Jacques Periaux Roland Glowinski

Source: Japan Journal of Industrial and Applied Mathematics. 12:87-108

Subject Terms: NACA0012 airfoil, Ginzburg-Landau equations, Navier-Stokes equations for incompressible viscous fluids, Uzawa/conjugate gradient algorithm, angle of attack, domain imbedding methods, saddle-point system, 01 natural sciences, operator splitting method, Peaceman-Rachford scheme, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, Finite element methods applied to problems in fluid mechanics, Kármán vortex shedding

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Access URL: https://zbmath.org/780133
https://doi.org/10.1007/bf03167383
https://ci.nii.ac.jp/naid/10010976655
https://link.springer.com/article/10.1007/BF03167383