Bibliography Page 1 Bibliography [1] Y. Achdou, C. Bernardi, and F. Coquel, A priori and a
posteriori analysis of finite volume dis- cretizations of Darcy’s equations, Numer. Math. 96 (2003) …

The numerical solution of linear elliptic partial differential equations most often involves a
finite element or finite difference discretization. To preserve sparsity, the arising system is …

In this paper, we derive a new approach for the numerical analysis of the heterogeneous
multiscale finite element method (HM-FEM) for elliptic homogenization problems. The HM …

The expansion of scientific knowledge and the development of technology are strongly
connected with quantitative analysis of mathematical models. Accuracy and reliability are …

I began my career in 1973 as a staff accountant in the Chicago office of Touche Ross (a
predecessor firm to Deloitte Touche Tohmatsu). Computers were new to accounting in those …

The present work is devoted to the a posteriori error estimation for mixed approximations of
linear self-adjoint elliptic problems. New guaranteed upper and lower bounds for the error …

A method to compute guaranteed upper bounds for the energy norm of the exact error in the
finite element solution of the Poisson equation is presented. The bounds are guaranteed for …

We consider linear elliptic problems with variable coefficients, which may sharply change
values and have a complex behavior in the domain. For these problems, a new combined …

This study presents a new development for the multi-physics simulation of lithium-ion
batteries (LIBs), leveraging the open-source Computational Fluid Dynamics (CFD) software …

A new a posteriori error estimator is presented for the verification of the dimensionally
reduced models stemming from the elliptic problems on thin domains. The original problem …