In current simulation, role of magnetic forces on ferrofluid second law treatment via
innovative computational method has been reported. To estimate behavior of porous media …

In the past two decades, meshfree methods have emerged into a new class of computational
methods with considerable success. In addition, a significant amount of progress has been …

We propose a discretization‐free approach based on the physics‐informed neural network
(PINN) method for solving the coupled advection‐dispersion equation (ADE) and Darcy flow …

Influence of external magnetic source on Fe 3 O 4-water heat transfer in a cavity with circular
hot cylinder is studied. New numerical method is chosen namely CVFEM. Influences of …

A reproducing kernel gradient smoothing framework with explicit quadrature rules is
proposed for efficient Galerkin meshfree formulation. In this framework, the meshfree …

Abstract Control Volume Finite Element Method (CVFEM) is a new approach in which all
advantages of finite volume method and finite element method are combined together. In …

State-based peridynamics is a non-local reformulation of solid mechanics that replaces the
force density of the divergence of stress with an integral of the action of force states on …

Physics informed neural network (PINN) frameworks have been developed as a powerful
technique for solving partial differential equations (PDEs) with potential data integration …

An efficient and inherently consistent integration method, named projection integration (PI),
is proposed for Galerkin meshfree methods with arbitrary order. In contrast to traditional …

Because of the best approximation property, traditional Bubnov–Galerkin numerical
methods have proven immensely successful in modeling self-adjoint problems, such as heat …