Abstract: For the elements of degree m(>1), simplified form solution u* based on the element energy projection (EEP) method has at least 1-order higher accuracy than conventional finite element solution uh. As a result, the EEP element, with simplified form EEP solution u* in as the final solution, was pro...
Abstract: The application of stress-based bidirectional evolutionary structural optimization (BESO) in the context of the modified couple stress elasticity theory was investigated. This methodology allows for structure optimization of homogenized continuum with a microstructural composition of size effects. T...
Abstract: Based on the modal space time-domain precise integration, a dynamic parameter identification method was proposed. Firstly, an identification model was constructed based on the time-domain measurement signals and the theoretical prediction model with the time-domain precise integration method in the ...
Abstract: Due to low computational power consumption and high efficiency, GPUs/TPUs/NPUs with single/half-precision computing units make the main computing mode for artificial intelligence, but they can't be directly applied to solve differential equations requiring high floating-point accuracy, nor can they ...
Abstract: In recent years, the deep learning method incorporating physical information provided a new idea for solving partial differential equations. However, most of the studies so far has low computational accuracy and poor time extrapolation for problems with discontinuities in the solution space. To addr...
Abstract: Under the adjustment of solution pH values and background salt concentrations, the electroosmotic flows of the Powell-Eyring fluids in parallel plate nanochannels were studied with the homotopic perturbation method, and approximate solutions were obtained. The accuracy of the obtained approximate so...
Abstract: Aimed at the anomalous diffusion behavior in porous medium, a time fractional diffusion model with variable coefficients was proposed to simulate the anomalous diffusion of methane in coal medium. The time fractional fractal diffusion model with constant coefficients was extended to the case with va...
Abstract: The transport infrastructure is the foundation of modern social and economic development, where the asphalt pavement plays an important role as a key component. Accurate prediction of asphalt pavement conditions is of great significance to guide pavement maintenance work. Rutting is an important ind...
Abstract: Physics-informed neural networks (PINNs) were applied in combination with generalized Miura transformations to investigate 3 KdV-type equations. Several novel soliton solutions, including the kink-bell solution of the mKdV equation, were derived analytically with the improved PINN method; a single-s...
Abstract: A finite element (FE) method based on the generalized backward differentiation θ formula (generalized BDF2-θ) was presented to solve nonlinear distributed-order time-fractional hyperbolic wave equations. The temporal direction was approximated with the generalized BDF2-θ to get the FE fully discrete...
