期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021; 93 ()
In this paper, an equal-order hybridized discontinuous Galerkin (HDG) method with a small pressure penalty parameter for the Stokes equations is analy......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021; 96 ()
In this paper, a reduced-order finite element (FE) method preserving the unconditional energy-stability is proposed to simulate the Allen-Cahn phase f......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021; 96 ()
A two-grid method is proposed to solve phase field models, arising from modeling the band gap optimization of photonic crystal design based on the Tra......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021; 89 ()
High dimensional conservative spatial distributed-order fractional diffusion equation is discretized by midpoint quadrature rule, Crank-Nicolson metho......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021; 92 ()
A new mixed finite element method is established for solving the semi-linear reaction-diffusion equation based on two-grid discretization. Here, a sym......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021; 94 ()
In this paper, being based on the idea of dispersion-relation-preserving optimization, a class of high-order high resolution upwind compact schemes wi......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021; 95 ()
This work aims to build a bridge between probability methods and finite element methods. It starts with considering probability distributions supporte......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021; 97 ()
The discrete unified gas kinetic scheme (DUGKS) combines the advantages of both the unified gas kinetic scheme (UGKS) and the lattice Boltzmann method......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021; 94 ()
The fictitious boundary surrounding the domain is required in the implementation of the method of fundamental solutions (MFS). A similar approach of t......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021; 94 ()
In this paper, fast numerical methods are established to solve a class of time distributed-order and Riesz space fractional diffusion-wave equations. ......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021; 98 ()
This work gives a general framework for the convergence analysis of low-order nonconforming elements for the 3D Brinkman model over cubical meshes, in......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021; 98 ()
In this paper, a new preconditioned iterative method is presented to solve a class of nonsymmetric nonsingular or singular saddle point problems. The ......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021; 93 ()
Two efficient numerical schemes based on L1 formula and Finite-Difference Time-Domain (FDTD) method are constructed for Maxwell's equations in a Cole-......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021; 97 ()
In this paper we are concerned with plane wave discontinuous Galerkin (PWDG) methods for Helmholtz equation and time-harmonic Maxwell equations in thr......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021; 97 ()
A meshless numerical scheme, named as space-time backward substitution method (STBSM), is proposed for 3D unsteady advection-diffusion equations (ADEs......
