Mar 10, 2022 · The mixed formulation captures the distinct nonlinearities associated with the flux constitutive equations and the reaction terms. The IMEX ...

Jan 3, 2021 · A new class of implicit-explicit (IMEX) methods combined with a p-adaptive mixed finite element formulation is proposed to simulate the diffusion of reacting ...

Feb 22, 2022 · Furthermore, the mixed method allows the nonlinearities that may appear in the flux constitutive equation and the reaction term to be considered.

A new class of implicit-explicit methods combined with a p-adaptive mixed finite element formulation is proposed to simulate the diffusion of reacting ...

Mar 10, 2022 · A new class of implicit-explicit (IMEX) methods combined with a p-adaptive mixed finite element formulation is proposed to simulate the ...

It is shown that the method with the p-adaptive strategy accurately solves problems involving travelling waves, and those with discontinuities and singularities ...

In this paper, numerical simulations of two-dimensional reaction–diffusion (for single and multi-species) models are considered for pattern formation processes.

The mixed formulation captures the distinct nonlinearities associated with the flux constitutive equations and the reaction terms. The IMEX method conveniently ...

We consider an adaptive finite element method with quantitative error control for systems of reaction-diffusion equations. The adaptive algorithm is based ...

Abstract. An integrated time—space adaptive finite element method for solving mixed systems of nonlinear parabolic, elliptic, and differential—algebraic ...