A highly efficient semi-implicit corrective SPH scheme for 2D/3D tumor growth model (Q6539906)

scientific article; zbMATH DE number 7849442

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English	A highly efficient semi-implicit corrective SPH scheme for 2D/3D tumor growth model	scientific article; zbMATH DE number 7849442

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instance of

scholarly article

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title

A highly efficient semi-implicit corrective SPH scheme for 2D/3D tumor growth model (English)

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Engineering Analysis with Boundary Elements

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publication date

15 May 2024

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zbMATH Keywords

tumor growth model

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multi-component

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Cahn-Hilliard

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phase separation

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corrective SPH

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parallelization

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MaRDI profile type

Publication

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cites work

Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method

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Q4663425

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Cancer Modelling and Simulation

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Mathematical modelling of tumour growth and treatment

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Modeling of biological materials.

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Free Energy of a Nonuniform System. I. Interfacial Free Energy

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Comparison between two meshless methods based on collocation technique for the numerical solution of four-species tumor growth model

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Simulation of the phase field Cahn-Hilliard and tumor growth models via a numerical scheme: element-free Galerkin method

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Numerical simulation of a thermodynamically consistent four-species tumor growth model

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Mathematical model and its fast numerical method for the tumor growth

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An adaptive multigrid algorithm for simulating solid tumor growth using mixture models

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Numerical Studies of the Cahn-Hilliard Equation for Phase Separation

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A second order splitting method for the Cahn-Hilliard equation

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A multigrid finite element solver for the Cahn-Hilliard equation

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The numerical solution of Cahn-Hilliard (CH) equation in one, two and three-dimensions via globally radial basis functions (GRBFs) and RBFs-differential quadrature (RBFs-DQ) methods

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An Efficient Two-Grid Scheme for the Cahn-Hilliard Equation

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The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations

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Smoothed particle hydrodynamics: theory and application to non-spherical stars

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Smoothed Particle Hydrodynamics

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Q4935725

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Why Particle Methods Work

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A benchmark problem for the two- and three-dimensional Cahn-Hilliard equations

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Computationally efficient solution to the Cahn-Hilliard equation: Adaptive implicit time schemes, mesh sensitivity analysis and the 3D isoperimetric problem

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Numerical schemes for a three component Cahn-Hilliard model

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Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models

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A new kernel function for SPH with applications to free surface flows

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The nonlocal, local and mixed forms of the SPH method

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AN OVERVIEW ON SMOOTHED PARTICLE HYDRODYNAMICS

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An improved parallel SPH approach to solve 3D transient generalized Newtonian free surface flows

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An SPH model for multiphase flows with complex interfaces and large density differences

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An efficient split-step and implicit pure mesh-free method for the 2D/3D nonlinear Gross-Pitaevskii equations

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The convergence of the SPH method

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Calculating the smoothing error in SPH

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A kernel gradient-free SPH method with iterative particle shifting technology for modeling low-Reynolds flows around airfoils

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The Cahn–Hilliard Equation: Recent Advances and Applications

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A positioning algorithm for SPH ghost particles in smoothly curved geometries

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A high-efficient splitting step reduced-dimension pure meshless method for transient 2D/3D Maxwell's equations in complex irregular domain

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Modeling incompressible flows using a finite particle method

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Meshless numerical model based on radial basis function (RBF) method to simulate the Rayleigh-Taylor instability (RTI)

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Identifiers

zbMATH Open document ID

1537.76122

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DOI

10.1016/j.enganabound.2023.07.010

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6539906