We address numerical solvers for a poromechanics model particularly adapted soft materials, as it generally respects thermodynamics principles and energy balance. Considering the multi-physics nature of problem, which involves solid fluid species, interacting on basis mass balance momentum conservation, we decide to adopt solution strategy discrete problem based iterative splitting schemes. As ...

a systematic way is presented for the construction of multi-step iterative method with frozen jacobian. the inclusion of an auxiliary function is discussed. the presented analysis shows that how to incorporate auxiliary function in a way that we can keep the order of convergence and computational cost of newton multi-step method. the auxiliary function provides us the way to overcome the singul...

n this paper , we propose a generalized iterative method forfinding a common element of the set of fixed points of a singlenonexpannsive mapping and the set of solutions of two variationalinequalities with inverse strongly monotone mappings and strictlypseudo-contractive of Browder-Petryshyn type mapping. Our resultsimprove and extend the results announced by many others.

In this study, we implemented the different approaches to compare their time efficiency. MMB-FCA, EFP-FCA and FCF are the previous approaches which were (re-)implemented in this study. Additionally, our new method called FFCA, together with three improved versions of the FCF method, namely W-FCF (FCF without splitting reversible reactions), WR-FCF (FCF without splitting reversible reactions and...

A new type ð2; 2Þ-step iterative method related to an optimal Chebyshev method is developed for solving real and nonsymmetric linear systems of the form Ax 1⁄4 b. It is an extension of the ð2; 2Þ-step iterative method introduced in [Numer. Linear Algebra Appl. 7 (2000) 169]. The superiority of the new type ð2; 2Þ-step iterative method over the optimal Chebyshev method is derived in the case whe...

This paper proposes a novel combined compound splitting and phrase recombination method that optimizes the composition of the speech recognition lexicon for a given domain. Data-driven compound word splitting is followed by iterative recombination of high frequency combinations. Language model perplexity and size are the criteria used to identify a balance between compound decomposition, which ...

A new family of linearly implicit fractional step methods is proposed for the efficient numerical solution of a class of nonlinear time-dependent reaction-diffusion equations. By using the method of lines, the original problem is first discretized in space via a mimetic finite difference technique. The resulting differential system of stiff nonlinear equations is locally decomposed by suitable ...