期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023; 130 ()
In this paper, we investigate a two-grid discretization method for the two-dimensional time-dependent nonlinear Schrodinger equation by mixed finite e......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023; 129 ()
In this paper we present a finite element analysis for a Dirichlet boundary control problem governed by the Stokes equation. The Dirichlet control is ......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023; 134 ()
In this paper, we introduce and study a highly scalable domain decomposition based solver for the fully implicit solution of subsurface flows in porou......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023; 143 ()
This paper presents a sixth-order nonlinear parabolic problem of the square phase-field crystal model. We first demonstrate the time-discrete backward......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023; 144 ()
This study analyses an approach to consistently recover the second-order convergence of the lattice Boltzmann method (LBM), which is frequently degrad......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023; 145 ()
Here, we study the multi-component Cahn-Hilliard (multiCH) system and the three-phase fluid system by a novel numerical scheme. The nonlinear terms in......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023; 146 ()
The parallel space-time adaptivity techniques for solving a cancer invasion model are investigated in the present work. Mathematically, the model comp......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023; 149 ()
Many stable and convergent numerical methods are not pressure robust for an incompressible flow problem, due to the relaxation of a discrete divergenc......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023; 151 ()
We perform a systematic comparison of various numerical schemes for the approximation of interface problems. We consider unfitted approaches in view o......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023; 151 ()
Generalizing tensor-product splines to smooth functions whose control nets can outline more general topological polyhedra, bi-cubic polyhedral-net spl......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023; 149 ()
In this study, we construct three efficient and conservative high-order accurate finite difference schemes for solving the Klein-Gordon-Schrodinger eq......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023; 152 ()
In this paper, a novel spectral method is presented and studied for the fourth order problem with mixed boundary in a cylindrical domain. The basic id......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023; 129 ()
We consider linear but ill-posed inverse problems consisting of finding the unknown space-dependent source in the thermal-wave model of bio-heat trans......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023; 131 ()
In this article, an immersed finite element approach is presented for solving interface problems of elliptic PDEs on curved surfaces. Such surface PDE......
期刊： COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023; 140 ()
Future advanced aero-engine features highly complex internal flow mechanisms, such as small gap blade row interactions and coupled fluid-structure int......
